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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Gromov-Witten invariants, quantum cohomology, moduli space of curves, tautological ring X Liu, Gromov-Witten invariants and moduli spaces of curves, Eur. Math. Soc., Zürich (2006) 791 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Gromov-Witten invariants and moduli spaces of curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves smooth Deligne cohomology; transgression; higher parallel transport; higher holonomy Y. Terashima, Higher-dimensional parallel transports for Deligne cocycles, in: M. Guest, et al. (Eds.), Integrable Systems, Topology and Physics, Contemporary Math. Vol. 309, A.M.S., 2002. General theory of differentiable manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Sheaf cohomology in algebraic topology, Connections (general theory), Differentiable mappings in differential topology Higher dimensional parallel transports for Deligne cocycles
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves generation of binary sequences; trace functions; elliptic curves; elliptic curve pseudorandom sequences; EC-sequences; elliptic curve public-key cryptosystems Gong, G.; Berson, T. A.; Stinson, D. R., Elliptic curve pseudorandom sequence generators, \textit{Selected Areas in Cryptography}, Lecture Notes in Computer Science, 1758, 34-48, (2000), Springer, Berlin, Germany Cryptography, Shift register sequences and sequences over finite alphabets in information and communication theory, Applications to coding theory and cryptography of arithmetic geometry Elliptic curve pseudorandom sequence generators
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Deligne-Mumford stacks; Moduli of hyperelliptic curves; Picard group Families, moduli of curves (algebraic), Generalizations (algebraic spaces, stacks), Modular and Shimura varieties, Picard groups, Arithmetic ground fields for curves The stack of smooth hyperelliptic curves in characteristic two. (Le champ des courbes hyperelliptiques lisses en caractéristique deux)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves over finite fields; bilinear complexity; finite field extension; complexity of bilinear multiplication; Chudnovsky algorithm; existence; optimal multiplication algorithm Shokrollahi, M. A.: Optimal algorithms for multiplication in certain finite fields using elliptic curves. Research Report, Universität Bonn; submitted for publication Number-theoretic algorithms; complexity, Elliptic curves, Analysis of algorithms and problem complexity Optimal algorithms for multiplication in certain finite fields using elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion group of Chow group; codimension two cycles; rational equivalence; modulo rational equivalence Jean-Louis Colliot-Thélène and Wayne Raskind, Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: un théorème de finitude pour la torsion, Invent. Math. 105 (1991), no. 2, 221 -- 245 (French, with English summary). Parametrization (Chow and Hilbert schemes), Global ground fields in algebraic geometry Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves toric varieties; freeness of cohomology groups; McKay correspondence; three-dimensional abelian quotient singularities Étale and other Grothendieck topologies and (co)homologies, Toric varieties, Newton polyhedra, Okounkov bodies, \(3\)-folds, Singularities in algebraic geometry Integral cohomology of some smooth complex toric 3-folds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves evaluation of cubic character sums; Legendre symbol; elliptic curves with complex multiplication; Frobenius automorphism; formula for multiplication by \(\sqrt{-3}\) Dimitrios Poulakis, Évaluation d'une somme cubique de caractères, J. Number Theory 27 (1987), no. 1, 41 -- 45 (French). Jacobsthal and Brewer sums; other complete character sums, Elliptic curves, Finite ground fields in algebraic geometry, Polynomials over finite fields Évaluation d'une somme cubique de caractères. (Evaluation of a cubic character sum)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves methods of algebraic \(K\)-theory; Hodge theory; algebraic curves; Bloch-Beilinson conjectures; algebraic cycles; Chow groups; monodromy Green, M., Griffiths, P.: The regulator map for a general curve. In: Symposium in Honor of C. H. Clemens (Salt Lake City, UT, 2000), pp. 117-127, Contemporary Mathematics, vol. 312. American Mathematical Society, Providence (2002) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic), Arithmetic ground fields for curves The regulator map for a general curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Kronecker's limit formula; zeta-function of an order; Chowla-Selberg formula; elliptic curves Kaneko, M, A generalization of the chowla-Selberg formula and the zeta functions of quadratic orders, Proc. Jpn. Acad. Ser. A Math. Sci., 66, 201-203, (1990) Zeta functions and \(L\)-functions of number fields, Elliptic curves over global fields, Other algebras and orders, and their zeta and \(L\)-functions, Quadratic extensions, Elliptic curves A generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Galois representations; elliptic curves; genus-three curves; Prym varieties; Chabauty methods; quadratic \({\mathbb Q}\)-curves Bruin, N.; Fernández, J.; González, J.; Lario, J.-C., Rational points on twists of \(X_0(63)\), Acta Arith., 126, 361-385, (2007) Galois representations, Rational points, Arithmetic aspects of modular and Shimura varieties Rational points on twists of \(X_0 (63)\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(p\)-adic analogues of the Birch and Swinnerton-Dyer conjecture; Weil elliptic curves; extended Mordell-Weil group; \(p\)-adic height; \(p\)-adic multiplicative period Barry Mazur, John Tate & Jeremy Teitelbaum, ``On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer'', Invent. Math.84 (1986) no. 1, p. 1-48 Local ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Arithmetic ground fields for curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves boundedness of the torsion on elliptic curves; Demjanenko matrix Elliptic curves, Arithmetic ground fields for curves A boundedness theorem for the torsion of elliptic curves over algebraic number fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; rational points; sequences of consecutive squares M. Kamel and M. Sadek, On sequences of consecutive squares on elliptic curves, Glasnik Mat. 52 (2017), 45--52. Rational points, Special sequences and polynomials On sequences of consecutive squares on elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves linear systems of divisor on \(r\)-fold symmetric products of elliptic curves; surfaces of general type; moduli of surfaces; Kodaira-Spencer map; Kuranishi family Catanese, F.; Ciliberto, C., Symmetric products of elliptic curves and surfaces of general type with \(p_g=q=1\), J. Algebr. Geom., 2, 389-411, (1993) Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Surfaces of general type, Elliptic curves Symmetric products of elliptic curves and surfaces of general type with \(p_ g=q=1\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves families of curves; cohomology; infinitesimal Abel-Jacobi mapping; quintic threefold C.H. Clemens , The local geometry of the Abel-Jacobi mapping, in Algebraic Geometry , Bowdoin 1985, Proceedings of Symposia in Pure Mathematics, A.M.S., vol. 46-part 2. Families, moduli of curves (algebraic), Classical real and complex (co)homology in algebraic geometry The local geometry of the Abel-Jacobi mapping
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian subvariety of the Jacobian; symmetric product of curve; double covering of a curve; number of irreducible curves Jacobians, Prym varieties, Coverings of curves, fundamental group, Cycles and subschemes On curves in \(C^{(2)}\) generating proper abelian subvarieties of \(\text{J}(C)\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hecke operator; weight distribution; binary cyclic codes; families of elliptic curves Schoof, René, Families of curves and weight distributions of codes, Bull. Amer. Math. Soc. (N.S.), 0273-0979, 32, 2, 171-183, (1995) Algebraic coding theory; cryptography (number-theoretic aspects), Geometric methods (including applications of algebraic geometry) applied to coding theory, Elliptic curves, Finite ground fields in algebraic geometry Families of curves and weight distributions of codes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves crystalline cohomology; representation theory; algebraic groups of Lie type; plane projective curves; Frobenius morphism; filtrations; Weyl modules Haastert, B.; Jantzen, J. C.: Filtrations of the discrete series of \(SL2(q)\) via crystalline cohomology. J. algebra 132, No. 1, 77-103 (1990) Cohomology theory for linear algebraic groups, Representation theory for linear algebraic groups, \(p\)-adic cohomology, crystalline cohomology, Linear algebraic groups over finite fields, Representations of finite groups of Lie type Filtrations of the discrete series of \(SL_ 2(q)\) via crystalline cohomology
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; group of points; effective addition law General structure theorems for groups, Elliptic curves A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves double covering of curves; plane curves; elliptic curves Takeshi Harui, Jiryo Komeda, and Akira Ohbuchi, Double coverings between smooth plane curves, Kodai Math. J. 31 (2008), no. 2, 257 -- 262. Special divisors on curves (gonality, Brill-Noether theory), Special algebraic curves and curves of low genus Double coverings between smooth plane curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves schemes; coherent sheaves; cohomology of schemes; duality theory; algebraic curves; birational geometry of surfaces; arithmetic algebraic curves; arithmetic algebraic surfaces; stable reduction of curves; arithmetic algebraic geometry; birational geometry of algebraic surfaces Qing Liu, Algebraic geometry and arithmetic curves, Oxford Graduate Texts in Mathematics 6, Oxford University Press, 2002, Translated from the French by Reinie Erné, Oxford Science Publications Birational geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Schemes and morphisms Algebraic geometry and arithmetic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves over function fields; explicit computation of \(L\)-functions; special values of \(L\)-functions and BSD conjecture; estimates of special values; analogue of the Brauer-Siegel theorem Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Zeta and \(L\)-functions in characteristic \(p\) Explicit \(L\)-functions and a Brauer-Siegel theorem for Hessian elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves recurrence relations; coefficients of the \(n\)-th division polynomial for elliptic curves McKee, J, Computing division polynomials, Math. Comput., 63, 767-771, (1994) Computational aspects of algebraic curves, Elliptic curves over global fields, Number-theoretic algorithms; complexity Computing division polynomials
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves trigonal curve; ample curves; Prym varieties of two-sheeted coverings Coverings of curves, fundamental group, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization On the Prym variety for a ramified two-sheeted covering of a trigonal curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion zero cycles; Selmer group of the symmetric square; Hyodo-Kato cohomology; selfproduct of a semistable elliptic curve Andreas Langer, Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve, Doc. Math. 2 (1997), 47 -- 59. Elliptic curves, \(p\)-adic cohomology, crystalline cohomology, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme of points; integral cohomology; Chow motive Parametrization (Chow and Hilbert schemes), Algebraic cycles, Discriminantal varieties and configuration spaces in algebraic topology The integral cohomology of the Hilbert scheme of points on a surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Deligne-Mumford compactification; moduli of curves; stack; mapping class group; orbit category Ebert, J; Giansiracusa, J, On the homotopy type of the Deligne-Mumford compactification, Algebr. Geom. Topol., 8, 2049-2062, (2008) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Generalizations (algebraic spaces, stacks), Fine and coarse moduli spaces, Teichmüller theory for Riemann surfaces On the homotopy type of the Deligne-Mumford compactification
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cohomology; Witt ring of elliptic curve; symmetric bilinear spaces; algebraic scheme; complete regular curve Arason, Jón Kr.; Elman, Richard; Jacob, Bill: On generators for the Witt ring, Contemp. math. 155, 247-269 (1994) Algebraic theory of quadratic forms; Witt groups and rings, Curves over finite and local fields, Étale and other Grothendieck topologies and (co)homologies On generators for the Witt ring
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves multiset; partitions of multiset; elliptic curves; hyperelliptic curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Partitions of sets, Elementary theory of partitions, Computer solution of Diophantine equations, Rational points The number of partitions of a set and superelliptic Diophantine equations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves curves of genus two; descent theory; geometric Galois theory; Brumer's family; Humbert's modular equation; Poncelet's pentagon; algebraic correspondences Hashimoto, [Hashimoto 00] K., On Brumer's family of RM-curves of genus two, \textit{Tohoku Math. J. (2)}, 52, 4, 475-488, (2000) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Separable extensions, Galois theory, Arithmetic ground fields for curves, Jacobians, Prym varieties On Brumer's family of RM-curves of genus two
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves singular cubics; isogenies; torsion points; elliptic curves over finite fields; elliptic curves over local fields; Selmer groups; duality; rational torsion; heights; complex multiplication; integral points; Galois representations; survey; group law; endomorphism ring; Weil pairing; elliptic functions; formal group; Shafarevich-Tate groups; \(L\)-series; Tate curves; descent; conjecture of Birch and Swinnerton-Dyer Silverman, J. H.: A survey of the arithmetic theory of elliptic curves. Modular forms and Fermat's last theorem (1997) Elliptic curves over global fields, Elliptic curves over local fields, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points A survey of the arithmetic theory of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curve; Heron triangle; specialization; Diophantine triple; family of elliptic curves; torsion group Elliptic curves, Elliptic curves over global fields On elliptic curves via heron triangles and Diophantine triples
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves orbifolds; elliptic surfaces; coverings of curves; étale fundamental groups; homotopy exact sequences; simply connected Mitsui, K., Homotopy exact sequences and orbifolds, Algebra Number Theory, 9, 1089-1136, (2015) Homotopy theory and fundamental groups in algebraic geometry, Fibrations, degenerations in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Coverings of curves, fundamental group Homotopy exact sequences and orbifolds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves over a number field; estimate for the degree of a minimal isogeny F. PELLARIN . Estimation du degré d'une Isogénie entre courbes elliptiques , Comptes Rendus Acad. Sci. de Paris, t. 321, série I, pages 685-688, 1995 , 1995 . MR 97g:11052 | Zbl 0890.11021 Elliptic curves over global fields, Elliptic curves, Isogeny Degree estimate for an isogeny between elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves traces of Hecke operators; modular curves over a finite field; elliptic curves over a finite field; Petersson formula for newforms; Tsfasman-Vlăduţ-Zink theorem Hecke-Petersson operators, differential operators (one variable), Holomorphic modular forms of integral weight, Spectral theory; trace formulas (e.g., that of Selberg), Curves over finite and local fields, Finite ground fields in algebraic geometry Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic theory of quadratic forms; Witt groups and rings; algebraic \(K\)-theory; algebraic cycles; Chow groups and rings; cohomology operations; motives; projective quadrics Elman, R.; Karpenko, N.; Merkurjev, A., \textit{The Algebraic and Geometric Theory of Quadratic Forms}, 56, (2008), Providence, RI Algebraic theory of quadratic forms; Witt groups and rings, Research exposition (monographs, survey articles) pertaining to number theory, Quadratic forms over local rings and fields, Quadratic forms over general fields, Higher symbols, Milnor \(K\)-theory, (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory, Galois cohomology The algebraic and geometric theory of quadratic forms
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves projective embeddings of abelian varieties; Products of elliptic curves Auffarth, R., A note on Galois embeddings of abelian varieties, Manuscr. Math., 154, 279-284, (2017) Algebraic theory of abelian varieties, Coverings in algebraic geometry A note on Galois embeddings of abelian varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; number fields; torsion group; abelian 2-extensions of \(\mathbb{Q}\); \(K\)-isogeny class Elliptic curves, Elliptic curves over global fields Torsion of elliptic curves over number fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(p\)-torsion points of elliptic curves; Galois representations; quadratic number field; semi-stable elliptic curves [13] A. Kraus, \(Courbes elliptiques semi-stables et corps quadratiques\), Journal of Number Theory 60, (1996), 245-253. &MR 14 | &Zbl 0865. Elliptic curves over global fields, Elliptic curves Semi-stable elliptic curves and quadratic fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves stable curve; tautological ring; irreducible branched covers; moduli space of smooth \(n\)-pointed curves; Chow ring Tom Graber and Ravi Vakil, On the tautological ring of \overline{\Cal M}_{\?,\?}, Turkish J. Math. 25 (2001), no. 1, 237 -- 243. Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives, Coverings in algebraic geometry On the tautological ring of \(\overline{\mathcal M}_{g,n}\).
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves global fields; Drinfeld modules; elliptic curves; distribution of primes; densities Drinfel'd modules; higher-dimensional motives, etc., Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Complex multiplication and abelian varieties On the distribution of torsion points modulo primes: the case of function fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; Milnor \(K\)-theory; Deligne cohomology; infinitesimal deformation; Abel-Jacobi map Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Formal methods and deformations in algebraic geometry Infinitesimal deformation of Deligne cycle class map
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Birch-Swinnerton-Dyer conjecture; mixed motives; motivic cohomology; period conjecture; special values of \(L\)-functions; Deligne's conjecture; Beilinson's conjectures Anthony J. Scholl, Remarks on special values of \?-functions, \?-functions and arithmetic (Durham, 1989) London Math. Soc. Lecture Note Ser., vol. 153, Cambridge Univ. Press, Cambridge, 1991, pp. 373 -- 392. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic varieties and schemes; Arakelov theory; heights, Generalizations (algebraic spaces, stacks), Applications of methods of algebraic \(K\)-theory in algebraic geometry Remarks on special values of \(L\)-functions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves locally free resolution of ideals; cohomology groups of ideal sheaf; degree; unirational varieties; degeneracy loci; general bundle morphisms; Hilbert scheme; elliptic normal scrolls Dolores Bazan and Emilia Mezzetti, On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \Bbb P\(^{5}\), Geom. Dedicata 86 (2001), no. 1-3, 191 -- 204. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Parametrization (Chow and Hilbert schemes), Elliptic curves, Complete intersections, Projective techniques in algebraic geometry On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \(\mathbb{P}^5\).
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hodge-Deligne theory; cubic hyperresolutions of a k-scheme; singular cohomology (Co)homology theory in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Grothendieck topologies and Grothendieck topoi Hyperrésolutions cubiques. (Cubic hyperresolutions)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; Deligne cohomology James D. Lewis, Regulators of Chow cycles on Calabi-Yau varieties, Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001) Fields Inst. Commun., vol. 38, Amer. Math. Soc., Providence, RI, 2003, pp. 87 -- 117. Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Relations of \(K\)-theory with cohomology theories Regulators of Chow cycles on Calabi-Yau varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves exterior power operations; binary complexes; higher algebraic \(K\)-theory; lambda ring; Dold-Kan correspondence; Dold-Puppe construction; simplicial tensor product; plethysm problem; polynomial functor; Schur algebra; \(K\)-theory of schemes; exterior powers; lambda operations Harris, T., Köck, B., Taelman, L.: Exterior power operations on higher K-groups via binary complexes, preprint, arXiv:1607.01685v2 (2016) Higher algebraic \(K\)-theory, Grothendieck groups, \(K\)-theory and commutative rings, (Co)homology theory in algebraic geometry, \(K\)-theory of schemes Exterior power operations on higher \(K\)-groups via binary complexes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves complex tori; complex abelian varieties; theta functions; theta divisor; elliptic curves; line bundles; moduli spaces of polarized abelian varieties; modular forms; Gauss map Debarre, O., Tores et variétés abéliennes complexes, Cours Spécialisés, vol. 6, (1999), Société Mathématique de France: Société Mathématique de France Paris, EDP Sciences, Les Ulis Analytic theory of abelian varieties; abelian integrals and differentials, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Research exposition (monographs, survey articles) pertaining to algebraic geometry, de Rham theory in global analysis, Topology of analytic spaces, Complex-analytic moduli problems, Singular homology and cohomology theory, Sheaf cohomology in algebraic topology, Homotopy groups of special spaces, Differential forms in global analysis Tori and complex abelian varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves quadratic form; Witt ring; fundamental ideal; Pfister form; Witt index; higher Witt indices; generic splitting; height of a quadratic form; stable birational equivalence; Chow motif; Tate motif; Rost motif; homogeneous variety; Rost's nilpotence theorem; Steenrod operation; motivic equivalence Kahn, B., \textit{formes quadratiques et cycles algébriques [d'après rost, Voevodsky, vishik, karpenko ...], exposé bourbaki no. 941}, Astérisque, 307, 113-163, (2006) Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Rational and birational maps, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Operations and obstructions in algebraic topology Quadratic forms and algebraic cycles (after Rost, Voevodsky, Vishik, Karpenko, \dots)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic geometry; uniformly bounded p-torsion of elliptic curves; order of group of p-torsion points Manin, Ju. I., The \textit{p}-torsion of elliptic curves is uniformly bounded, Izv. Akad. Nauk SSSR Ser. Mat., 33, 459-465, (1969) Elliptic curves Uniformly bounded \(p\)-torsion of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves nef cone; pseudoeffective cone; semistability; cone of curves; fibre product of projective bundle over a curve Vector bundles on curves and their moduli, \(3\)-folds, Minimal model program (Mori theory, extremal rays) Nef and pseudoeffective cones of product of projective bundles over a curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; additive higher Chow group; Witt vectors; de Rham-Witt complex A. Krishna and J. Park, \textsl{On additive higher Chow groups of affine schemes}, Doc. Math. \textbf{21}, (2016), 49--89. https://www.elibm.org/article/10000430; zbl 1357.14014; MR3465108 Algebraic cycles, Witt vectors and related rings, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On additive higher Chow groups of affine schemes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves descent on elliptic curves; invariants of binary quartics; group of rational points; elliptic curve; algorithm; Mordell-Weil group --------, Classical invariants and \(2\)-descent on elliptic curves , J. Symbolic Comput., 31 (2001), 71-87. Elliptic curves over global fields, Elliptic curves, Computer solution of Diophantine equations Classical invariants and 2-descent on elliptic curves
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves singular point of symmetric product of curve; Abel-Jacobi map; osculating cones; hyperelliptic curves; trigonal curves F. Bardelli and L. Verdi , Un'osservazione sul teorema di singolarità di Riemann-Kempf per curve iperellittiche e trigonali , Boll. Un. Mat. It. (6) 5-A (1986) 201-204. Singularities of curves, local rings, Jacobians, Prym varieties, Special algebraic curves and curves of low genus An observation on the Riemann-Kempf singularity theorem for hyperelliptic and trigonal curves
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(K3\) surface; Hilbert scheme of points; integral cohomology; cup product 8. S. Kapfer, Computing cup-products in integral cohomology of Hilbert schemes of points on K3 surfaces, to appear in LMS J. Comput. Math. Families, moduli, classification: algebraic theory, Computational aspects of higher-dimensional varieties, Combinatorial aspects of partitions of integers, Orbifold cohomology Computing cup products in integral cohomology of Hilbert schemes of points on \(K3\) surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion of elliptic curves Arithmetic ground fields for curves, Elliptic curves, Special algebraic curves and curves of low genus On exact estimates of the torsion orders for points of curves of genus one
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Klein curves; hyperbolic planes; Riemann surfaces; triangle groups; Hurwitz curves; elliptic functions; moduli of elliptic integrals; geometric aspects of \(\text{PSL}(2\mathbb{Z}/7\mathbb{Z})\) Geometric group theory, History of group theory, History of mathematics in the 19th century, Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Elliptic functions and integrals, Finite simple groups and their classification, Generators, relations, and presentations of groups From the history of a simple group
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Prym varieties; coverings of stable plane curves; complete intersections of three quadrics; Torelli theorem Debarre, O, Le théorème de Torelli pour LES intersections de trois quadriques, Invent. Math., 95, 507-528, (1989) Jacobians, Prym varieties, Picard schemes, higher Jacobians, Torelli problem, Complete intersections, Riemann surfaces Le théorème de Torelli pour les intersections de trois quadriques. (Torelli theorem for intersections of three quadrics)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves over a local field; algorithm for the reduction type of a minimal model; characteristic 2; characteristic 3; Weierstrass model; 315 Papadopoulos, Ioannis, Sur la classification de Néron des courbes elliptiques en caractéristique résiduelle \(2\) et \(3\), J. Number Theory, 44, 2, 119-152, (1993) Elliptic curves, Local ground fields in algebraic geometry, Computational aspects of algebraic curves, Elliptic curves over local fields On Néron's classification of elliptic curves of residue characteristics 2 and 3
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rank of elliptic curves; average function Stéfane Fermigier, Une courbe elliptique définie sur \? de rang \ge 22, Acta Arith. 82 (1997), no. 4, 359 -- 363 (French). Elliptic curves over global fields, Elliptic curves, Computer solution of Diophantine equations An elliptic curve defined over \(\mathbb{Q}\) of rank \(\geqslant 22\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves zeta functions of groups; finitely generated nilpotent groups; Grothendieck rings; elliptic curves; arithmetic of nilpotent groups M. du Sautoy, ''Counting subgroups in nilpotent groups and points on elliptic curves,'' J. Reine Angew. Math., vol. 549, pp. 1-21, 2002. Nilpotent groups, Other Dirichlet series and zeta functions, Subgroup theorems; subgroup growth, Elliptic curves Counting subgroups in nilpotent groups and points on elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number of sections of twists of vector bundle; moduli space of all rank two stable vector bundles; nearly natural cohomology; minimal model; number of irreducible components; Albanese varieties Vector bundles on surfaces and higher-dimensional varieties, and their moduli On rank two vector bundles on an algebraic surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Brauer groups; indecomposable division algebras; noncrossed products; ramification; function fields of smooth curves; non-crossed product central division algebras; exponents; indices; periods; tensor products of central algebras E. Brussel, K. McKinnie, and E. Tengan, Indecomposable and noncrossed product division algebras over function fields of smooth \?-adic curves, Adv. Math. 226 (2011), no. 5, 4316 -- 4337. Finite-dimensional division rings, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Brauer groups (algebraic aspects) Indecomposable and noncrossed product division algebras over function fields of smooth \(p\)-adic curves.
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves supersingular elliptic curves; Diffie-Hellman cryptosystems; multiplication of points on elliptic curves; public key cryptosystems Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves, Curves over finite and local fields Arithmetic on non supersingular elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Leech lattice; Mordell-Weil lattice; elliptic curves; function field of a hyperelliptic curve; minimal vectors N. D. Elkies, ''Mordell-Weil lattices in characteristic 2, II: The Leech lattice as a Mordell-Weil lattice,'' Invent. Math., vol. 128, iss. 1, pp. 1-8, 1997. Lattice packing and covering (number-theoretic aspects), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves, Packing and covering in \(n\) dimensions (aspects of discrete geometry) Mordell-Weil lattices in characteristic 2. II: The Leech lattice as a Mordell-Weil lattice
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic groups; irreducible representations; Hopf algebras; Lie algebras; unipotent algebraic groups; tensor product; semisimple group representations; varieties; dimension theory of local rings; tangent spaces; Borel subgroups; Galois cohomology; automorphism groups; weights; universal enveloping algebra Hochschild, G.P.: Basic theory of algebraic groups and Lie algebras. Graduate Texts Math. \textbf{75}, (1981) Linear algebraic groups over arbitrary fields, Research exposition (monographs, survey articles) pertaining to group theory, Lie algebras of linear algebraic groups, Group varieties, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Universal enveloping (super)algebras, Classical groups (algebro-geometric aspects) Basic theory of algebraic groups and Lie algebras
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves minimal free resolution of homogeneous coordinate ring; elliptic ruled surface; very ample line bundle; adjoint bundle; Koszul cohomology; cohomology vanishings Gallego, F.J.; Purnaprajna, B.P., Higher syzygies of elliptic ruled surfaces, J. Algebra, 186, 626-659, (1996) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Vanishing theorems in algebraic geometry Higher syzygies of elliptic ruled surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves projective geometry; elliptic functions; Differential geometry; Analytical geometry; Correspondence principle; Singularities; Curves; Surfaces; Abelian Functions; History of Mathematics; Algebraic Geometry; Functions of a Complex Variable Enriques, F., Chisini O.: Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. 1. Vol. I, II, volume 5 of Collana di Matematica [Mathematics Collection]. Nicola Zanichelli Editore S.p.A., Bologna. Reprint of the 1924 and 1934 editions (1985) Research exposition (monographs, survey articles) pertaining to geometry, General theory of linear incidence geometry and projective geometries, Rational and birational maps, Algebraic functions and function fields in algebraic geometry, Birational automorphisms, Cremona group and generalizations, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Curves in Euclidean and related spaces, Surfaces in Euclidean and related spaces Lectures about the geometric theory of equations and algebraic functions. 1: Vol. \(I+II\). 2: Vol. \(III+IV\). New ed.. (Lezioni sulla teoria geometrica delle equazione e delle funzioni algebriche. 1: Vol. I e II. 2: Vol. III e IV. Ristampa)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(l\)-adic representation; theta series; \(l\)-adic cohomology of Siegel three-folds; automorphic representations; modular forms; theta correspondence; holomorphic Siegel modular form; theta lifting Harris, M.; Soudry, D.; Taylor, R., \textit{\(\mathcal{l}\)}-Adic representations associated to modular forms over imaginary quadratic fields I. Lifting to \(\operatorname{GSp}_4(\mathbb{Q})\), Invent. Math., 112, 377-411, (1993) Theta series; Weil representation; theta correspondences, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Galois representations, Langlands-Weil conjectures, nonabelian class field theory, Special surfaces, Representations of Lie and linear algebraic groups over global fields and adèle rings, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic fibrations; models of curves; Shafarevich pairing; abelian varieties; Picard functor; pro-algebraic groups Bertapelle, A.; Tong, J., On torsors under elliptic curves and serre's pro-algebraic structures, Math. Z., 277, 91-147, (2014) Arithmetic ground fields for abelian varieties, Picard schemes, higher Jacobians On torsors under elliptic curves and Serre's pro-algebraic structures
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Shafarevich-Tate group of elliptic curves [9]J. E. Cremona and B. Mazur, Visualizing elements in the Shafarevich--Tate group, Experiment. Math. 9 (2000), 13--28. Elliptic curves over global fields, Rational points Visualizing elements in the Shafarevich-Tate group
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; logarithmic derivative; Picard group; first cohomology group Coombes, K. R.: Elliptic curves and logarithmic derivatives. Journal of pure and applied algebra 138, 21-38 (1999) Picard groups, Elliptic curves, Elliptic curves over global fields Elliptic curves and logarithmic derivatives
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic fundamental group; moduli space of curves; Galois group; Abel-Jacobi map; algebraic cycle; non-abelian Galois representation; mapping class group Hain, R.; Matsumoto, M., Galois actions on fundamental groups of curves and the cycle \(C-C^-\), J. Inst. Math. Jussieu, 4, 363-403, (2005) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group, Galois cohomology, Algebraic cycles, Homotopy theory and fundamental groups in algebraic geometry Galois actions of fundamental groups of curves and the cycle \(C-C^-\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves irreducible hypersurfaces; projective space; Galois field; classification of curves of higher degree; classification of hypersurfaces; geometric properties Tallini, G., Sulle ipersuperfici irriducibili d'ordine minimo che contengono tutti i punti di uno spazio di Galois \(S_{r, q}\), Rend. Mat. Appl. (5), 20, 431-479, (1961) Hypersurfaces and algebraic geometry, Finite ground fields in algebraic geometry, Finite geometry and special incidence structures Sulle ipersuperficie irriducibili d'ordine minimo che contengono tutti i punti di uno spazio di Galois \(S_{r,q}\).
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; abelian variety; Chow ring; symmetric product; Jacobian (Equivariant) Chow groups and rings; motives, Algebraic theory of abelian varieties, Algebraic cycles, Arithmetic ground fields for curves Algebraic cycles on symmetric products and abelian varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elementary category; complete categories; cocomplete categories; homology theory for the category of cosheaves; generating family of projective objects; injectives; abelian category; tensor product; hom-functors; hyperhomology for cosheaves; homology of cosheaves; cohomology of sheaves; taut spaces; Kronecker product; cap-product; singular homology J.-P. Schneiders, Cosheaves homology , Bull. Soc. Math. Belg. Sér. B 39 (1987), 1--31. Sheaf cohomology in algebraic topology, Abelian categories, Grothendieck categories, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Spectral sequences and homology of fiber spaces in algebraic topology, Singular homology and cohomology theory Cosheaves homology
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli space of curves; cohomology; tautological groups Families, moduli of curves (algebraic), Singular homology and cohomology theory Top tautological group of \(\mathcal{M}_{g,n}\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves enveloping algebra of the Heisenberg Lie algebra; standard algebras with 2 or 3 generators; effective criterion to decide whether a given standard algebra of dimension 3 is regular; automorphisms of elliptic curves Artin, M., Tate, J., Van den Bergh, M.: Some Algebras Associated to automorphisms of Elliptic Curves, The Grothendieck Festschrift, vol. 1, Progress in Mathematics, vol. 86, pp. 33-85. Brikhäuser, Basel (1990) Noncommutative algebraic geometry, Elliptic curves, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras) Some algebras associated to automorphisms of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Cartier-Dieudonné theory; sheaf of K-groups; augmented artinian local k-algebras; crystalline cohomology; formal Picard group; Artin-Mazur groups; Witt vector cohomology; Chow group Stienstra, J.: Cartier-Dieudonné theory for Chow groups. J. Reine Angew. Math. \textbf{355}, 1-66 (1985) (correction. J. Reine Angew. Math. \textbf{362}, 218-220 (1985)) Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Equivariant) Chow groups and rings; motives, Formal groups, \(p\)-divisible groups, \(p\)-adic cohomology, crystalline cohomology, Cycles and subschemes, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Cartier-Dieudonné theory for Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves unramified cohomology; 0-cycle; universal triviality of \(\mathrm {CH}_0\); complex surfaces; cubic fourfold; quadric fibration; Clifford algebra Rationality questions in algebraic geometry, General ternary and quaternary quadratic forms; forms of more than two variables, Quadratic spaces; Clifford algebras, Algebraic cycles, \(4\)-folds Universal unramified cohomology of cubic fourfolds containing a plane
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Wronskian correspondence; coarse moduli space of curves; cycle class; canonical divisor Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory) Families of Wronskian correspondences
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian functions; elliptic functions; Jacobians; hyperelliptic curves; hyperelliptic functions; Lie algebra of derivations; polynomial vector fields Elliptic curves, Automorphic functions, Elliptic functions and integrals, Elliptic genera Differentiation of genus 3 hyperelliptic functions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number of rational points; modular curve; number of points of given degree; number of elliptic curves with rational isogeny Frey, G., \textit{curves with infinitely many points of finite degree}, Israel J. Math., 85, 79-83, (1994) Arithmetic ground fields for curves, Modular and Shimura varieties, Elliptic curves, Arithmetic aspects of modular and Shimura varieties, Elliptic curves over global fields Curves with infinitely many points of fixed degree
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves quiver variety; stable envelope; elliptic cohomology; Hilbert scheme of points in the plane Parametrization (Chow and Hilbert schemes), Enumerative problems (combinatorial problems) in algebraic geometry, Combinatorial aspects of representation theory, Algebraic moduli problems, moduli of vector bundles, Mirror symmetry (algebro-geometric aspects), Equivariant \(K\)-theory, Analytic spaces Elliptic stable envelope for Hilbert scheme of points in the plane
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mordell-Weil groups; division of points on abelian varieties with complex multiplication; L-function; triviality of the Galois module structure; elliptic curves M. J. Taylor, Mordell-Weil groups and the Galois module structure of rings of integers. Illinois J. Math. 32 (1988), 428-452. Zbl0631.14033 MR947037 Complex multiplication and abelian varieties, Rational points, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Special algebraic curves and curves of low genus, Elliptic curves, Galois theory Mordell-Weil groups and the Galois module structure of rings of integers
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; point multiplication; characteristic three Smart N.P., Westwood E.J. (2003). Point multiplication on ordinary elliptic curves over fields of characteristic three. Appl Algebra Eng Comm Comput 13(6):485--497 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Number-theoretic algorithms; complexity Point multiplication on ordinary elliptic curves over fields of characteristic three
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves stratification of moduli space; moduli space of smooth non-hyperelliptic genus three curves; Del Pezzo surfaces; Poincaré polynomials Looijenga E.: Cohomology of \({\mathcal{M}}_3\) and \({\mathcal{M}}_3^1\). In: Bödigheimer, C.-F., Hain, R.M. (eds.) Mapping Class Groups and Moduli Spaces of Riemann Surfaces, volume 150 of Contemporary Mathematics, pp. 205-228 (1993) Families, moduli of curves (algebraic), Special surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Algebraic moduli problems, moduli of vector bundles, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) Cohomology of \({\mathcal M}_ 3\) and \({\mathcal M}^ 1_ 3\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves very ample invertible sheaf on a curve of genus three; Noether-Enriques- Petri theorem; intersection of quadrics; curves of genus three embedded by complete linear series Special algebraic curves and curves of low genus, Families, moduli of curves (algebraic) Theorem of Enriques-Petri type for a very ample invertible sheaf on a curve of genus three
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves integrable differential equations; coverings of elliptic curves; Landau- Lifshitz equation; algebraical approach; Bäcklund-Darboux transformation I. V. Cherednik, Math. USSR-Izv., 22, 357--377 (1984). Partial differential equations of mathematical physics and other areas of application, Hyperbolic conservation laws, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Dynamics induced by flows and semiflows, Elliptic curves Integrable differential equations and coverings of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number of integral points; rank of the group of rational points on an elliptic curve; rational points on the Jacobian variety; lower bound for the canonical height on elliptic curves; twisted Catalan curves ----,A quantitative version of Siegel's theorem, J. reine ang. Math.378 (1987), 60--100 Arithmetic ground fields for curves, Rational points, Elliptic curves over global fields, Heights, Special algebraic curves and curves of low genus, Higher degree equations; Fermat's equation A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Selmer group of twists of elliptic curves; \(\mathbb Q\)-rational torsion point; \(p\)-class group Frey G.: On the Selmer group of twists of elliptic curves with \({\mathbb{Q}}\) -rational torsion points. Can. J. Math. 40, 649--665 (1988) Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves On the Selmer group of twists of elliptic curves with \(\mathbb Q\)-rational torsion points
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Calabi-Yau 3-folds; Schoen 3-folds; fiber product of relatively minimal rational elliptic surfaces with section; nonsimply connected Calabi-Yau 3-folds; group actionss; automorphisms of rational elliptic surfaces Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) On a class of non-simply connected Calabi-Yau 3-folds with positive Euler characteristic
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; ranks of elliptic curves; Selmer groups; Cramer model; probabilistic model Elliptic curves over global fields, Elliptic curves A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves infinite symmetric products; hypercube conjecture; Fourier transform; Chow homology; Chow rings; Chow cohomology; eigenvalues of an abelian variety Kimura, S.; Vistoli, A., Chow rings of infinite symmetric products, Duke Math. J., 85, 411-430, (1996) Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties Chow rings of infinite symmetric products
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Bogomolov-Miyaoka-Yau inequality; arithmetic surfaces; effective bounds on the heights of rational points; bounding the minimal discriminant of an elliptic curve; Fermat curves; elliptic fibrations Topological properties in algebraic geometry, Rational points, Special surfaces The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves genus \(\neq 1\); hyperelliptic involution; group of automorphisms of a curve; elliptic curves; isogenies; many rational points; algebraic curve; families of curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points Algebraic curves of genus \(\geq 2\) having numerous rational points
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Proceedings; Colloquium; Washington, DC (USA); National Academy of Sciences; Elliptic curves; Modular forms Proceedings of conferences of miscellaneous specific interest, Elliptic curves Papers from the colloquium of the National Academy of Sciences on elliptic curves and modular forms, Washington, DC, USA, March 15--17, 1996
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli spaces of higher dimensional varieties; del Pezzo surfaces; elliptic surfaces Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Moduli of double covers and degree one del Pezzo surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves surfaces of general type; fundamental group of surfaces; quotients of products of curves; product-quotient surfaces Bauer, I.; Catanese, F.; Grunewald, F.; Pignatelli, R., Quotients of products of curves, new surfaces with \(p_g = 0\) and their fundamental groups, Amer. J. Math., 134, 4, 993-1049, (2012) Surfaces of general type Quotients of products of curves, new surfaces with \(p_{g} = 0\) and their fundamental groups
| 0 |
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