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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 Hilbert scheme; space curve; Buchsbaum curve; unobstructedness; cup-product; graded Betti numbers; ghost terms; linkage; normal module; postulation Hilbert scheme Dan, A.: Non-reduced components of the Noether-Lefschetz locus. Preprint arXiv:1407.8491v2 Parametrization (Chow and Hilbert schemes), Plane and space curves, Linkage, complete intersections and determinantal ideals, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series The Hilbert scheme of space curves of small diameter
| 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 varieties; Voronoi compactification; Chow ring; cohomology ring K. Hulek and O. Tommasi, Cohomology of the toroidal compactification of {{\mathcal{A}}_{3}}, Vector bundles and complex geometry, Contemp. Math. 522, American Mathematical Society, Providence (2010), 89-103. Algebraic moduli of abelian varieties, classification, (Equivariant) Chow groups and rings; motives, Fine and coarse moduli spaces, Classical real and complex (co)homology in algebraic geometry Cohomology of the toroidal compactification of \({\mathcal A}_3\)
| 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 surface of general type; surface with \(p_g=0\); Bloch conjecture Pedrini, C., Weibel, C.: Some surfaces of general type for which Bloch's conjecture holds. In: Period Domains, Algebraic Cycles, and Arithmetic. Cambridge Univ. Press, Cambridge (2015) Surfaces of general type, (Equivariant) Chow groups and rings; motives Some surfaces of general type for which Bloch's conjecture holds
| 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 schemes; algebraic curves; linear series; gonality Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Special divisors on curves (gonality, Brill-Noether theory) Irreducibility and components rigid in moduli of the Hilbert scheme of smooth 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 order; exponent; elliptic curve Elliptic curves over local fields, Elliptic curves Order and exponent of an 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 W.-P. Li, Z. Qin, and W. Wang, ''Hilbert schemes, integrable hierarchies, and Gromov-Witten theory,'' Int. Math. Res. Not. 40 (2004), 2085--2104. Parametrization (Chow and Hilbert schemes), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Virasoro and related algebras Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
| 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-Chow morphism; Hilbert schemes; linear representations; divided powers F. Galluzzi, F. Vaccarino, Hilbert-Chow morphism for non-commutative Hilbert schemes and moduli spaces of linear representations. \textit{Algebr. Represent. Theory}\textbf{13} (2010), 491-509. MR2660858 Zbl 1203.14004 Schemes and morphisms, Parametrization (Chow and Hilbert schemes), Representation theory of associative rings and algebras, Noncommutative algebraic geometry Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations
| 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 of order 2 --------, On the rank of elliptic curves with three rational points of order \(2\) , Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), 77-78. Elliptic curves over global fields, Elliptic curves, Rational points On the rank of elliptic curves with three rational points of order 2
| 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 ring; moduli; bundles (Equivariant) Chow groups and rings; motives, Homology of classifying spaces and characteristic classes in algebraic topology The Chow ring of the moduli space of bundles on \(\mathbb P^2\) with charge 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 twisted monopoles; twisted difference modules; twisted mini-holomorphic bundles; Kobayashi-Hitchin correspondence Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Variational problems concerning extremal problems in several variables; Yang-Mills functionals, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Yang-Mills and other gauge theories in quantum field theory, Elliptic curves Triply periodic monopoles and difference modules 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 Vafa-Witten invariants; Joyce-Song pairs; tautological integrals Algebraic moduli problems, moduli of vector bundles, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), Parametrization (Chow and Hilbert schemes) Vertical Vafa-Witten invariants
| 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 K-theory; algebraic cycles; characteristic classes; degree formulas Levine, M.: A survey of algebraic cobordism. Proceedings of the international conference on algebra. Algebra Colloq. 11, 79--90 (2004) Algebraic cycles, Bordism and cobordism theories and formal group laws in algebraic topology, Riemann-Roch theorems, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) A survey of algebraic cobordism
| 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 mixed Hodge structure; second cohomology group; Hessian family of elliptic curves Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves A geometric example of non-trivially mixed Hodge 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 Göttsche, L.; Shende, V., The \(\chi _{-y}\)-genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces, Algebr. Geom., 2, 405-421, (2015) Parametrization (Chow and Hilbert schemes), \(K3\) surfaces and Enriques surfaces, Algebraic theory of abelian varieties The \(\mathcal X_{-y}\)-genera of relative Hilbert schemes for linear systems on abelian and \(K3\) 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 (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Chern classes of logarithmic vector fields for locally quasi-homogeneous free divisors
| 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; Białynicki-Birula decomposition; Gröbner bases Parametrization (Chow and Hilbert schemes), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials Computable Białynicki-Birula decomposition of the Hilbert scheme
| 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; Segre class; standard vector bundle; number of 4-secant planes Tikhomirov, A.; Troshina, T., Top Segre class of a standard vector bundle e4 D on the Hilbert scheme hilb4S of a surface S, 205-226, (1994) Parametrization (Chow and Hilbert schemes), Enumerative problems (combinatorial problems) in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Top Segre class of a standard vector bundle \({\mathcal E}^ 4_ D\) on the Hilbert scheme \(\text{Hilb}^ 4S\) of a surface \(S\)
| 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 Artinian Gorenstein ring; Macaulay inverse system; zero-dimensional scheme Commutative rings of differential operators and their modules, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Parametrization (Chow and Hilbert schemes) Finding inverse systems from coordinates
| 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 Motivic cohomology; motivic homotopy theory, (Equivariant) Chow groups and rings; motives, Structured objects in a category (group objects, etc.) Smooth weight structures and birationality filtrations on motivic categories
| 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 Atiyah-Bott Lefschetz formula; (nested) Hilbert scheme of points; tangent spaces; diagonal coinvariants Can, M.: Nested Hilbert schemes and the nested q,t-Catalan series Parametrization (Chow and Hilbert schemes) Nested Hilbert schemes and the nested \(q,t\)-Catalan series
| 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 manifld; Enriques surfaces; Hilbert scheme Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Parametrization (Chow and Hilbert schemes) Universal covering Calabi-Yau manifolds of the Hilbert schemes of \(n\) points of Enriques 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 Brauer groups; \(\ell\)-adic cohomology; Tate conjecture; algebraic cycles Brauer groups of schemes, Positive characteristic ground fields in algebraic geometry, Algebraic cycles Uniform boundedness for Brauer groups of forms in positive 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 sectional genus; adjunction formula; spanned vector bundle; ample vector bundle; elliptic curve Lanteri A. Maeda H. Ample vector bundles of curve genus one preprint Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(n\)-folds (\(n>4\)), Special algebraic curves and curves of low genus, Elliptic curves Ample vector bundles of curve 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 quadratic twist; geometric conductors; discriminant; Silverman's relation; elliptic curve DOI: 10.1006/jnth.1994.1079 Elliptic curves over global fields, Elliptic curves Twists and reduction of an 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 Algebraic cycles, Algebraic theory of abelian varieties Nondivisible cycles on products of very general 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 sextic trefoil, plane curves of low degree; complex curve; flat geometry Special algebraic curves and curves of low genus, Plane and space curves, Elliptic curves Flat 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 algebraic cycles; real algebraic surfaces; real Enriques surfaces; Galois-maximality; Brauer group Frédéric Mangolte and Joost van Hamel, Algebraic cycles and topology of real Enriques surfaces, Compositio Math. 110 (1998), no. 2, 215 -- 237. Topology of real algebraic varieties, Algebraic cycles, \(K3\) surfaces and Enriques surfaces, Brauer groups of schemes Algebraic cycles and topology of real Enriques 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 Hilbert scheme of points; natural isomorphisms; smooth surfaces; automorphisms Parametrization (Chow and Hilbert schemes), Automorphisms of surfaces and higher-dimensional varieties Automorphisms of Hilbert schemes of points on 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 moduli space; stable pair; Chow ring; matroid (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Families, moduli, classification: algebraic theory Intersection theory of the stable pair compactification of the moduli space of six lines 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 rational points; elliptic curves; modular forms; area of right triangle with rational sides; survey; congruent numbers; students education Fibonacci and Lucas numbers and polynomials and generalizations, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Elliptic curves, Linear Diophantine equations, Holomorphic modular forms of integral weight Congruent numbers - from elementary to algebraic number theory
| 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 cycles; cohomology group; complex projective variety equipped with its underlying real algebraic structure DOI: 10.1007/BF01265347 Classical real and complex (co)homology in algebraic geometry, Real algebraic sets, Algebraic cycles Algebraic cycles and realification of complex projective 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 torsion subgroup; elliptic curve; base change; G-curve; totally real field; rational point S. Kamienny,On the torsion subgroups of elliptic curves over totally real field. Invent. Math. 83 (1986), 545-551. Zbl0585.14023 MR827366 Special algebraic curves and curves of low genus, Rational points, Arithmetic ground fields for curves, Elliptic curves, Cubic and quartic Diophantine equations, Totally real fields On the torsion subgroups of elliptic curves over toally real 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 Brauer-Manin pairing; class field theory; motivic homology Yamazaki, T., Brauer-Manin pairing, class field theory and motivic homology Galois cohomology, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Local ground fields in algebraic geometry The Brauer-Manin pairing, class field theory, and motivic 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 bounded genus; generalized Castelnuovo varieties DOI: 10.1007/BF02567861 Parametrization (Chow and Hilbert schemes), Families, moduli, classification: algebraic theory Generalized Castelnuovo 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 isomorphic deformation theories; deformation theory of space curves; Hilbert scheme of curves; deformation theories of a closed subscheme Charles H. Walter, Some examples of obstructed curves in \?³, Complex projective geometry (Trieste, 1989/Bergen, 1989) London Math. Soc. Lecture Note Ser., vol. 179, Cambridge Univ. Press, Cambridge, 1992, pp. 324 -- 340. Plane and space curves, Parametrization (Chow and Hilbert schemes), Formal methods and deformations in algebraic geometry, Deformations and infinitesimal methods in commutative ring theory Some examples of obstructed curves in \(\mathbb{P}^ 3\)
| 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 decomposition theorem; Chow ring; decomposition of the small diagonal --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473. (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, fibrations in algebraic geometry Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
| 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 cycles; abelian varieties Algebraic cycles, Picard schemes, higher Jacobians On the universal regular homomorphism in codimension \(2\)
| 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 numerical range; elliptic curve; boundary generating curve; genus Norms of matrices, numerical range, applications of functional analysis to matrix theory, Elliptic curves Elliptic curves arising from numerical ranges
| 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 Asakura, M., Saito, S.: On Noether-Lefschetz locus for Beilinson-Hodge cycles II. Preprint Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles Maximal components of Noether-Lefschetz locus for Beilinson-Hodge cycles
| 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; Chow ring; moduli space of stable curves; intersection product; Riemann-Roch theorem Mumford, D.: Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and Geometry, Vol. II, Progress in Mathematics, vol.~36, pp.~271-328. Birkhäuser Boston, Boston (1983) Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Riemann-Roch theorems Towards an enumerative geometry of the moduli space 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 dimension of Chow variety; Halphen bound Eisenbud, D.; Harris, J., The dimension of the Chow variety of curves, Compos. Math., 83, 3, 291-310, (1992) Parametrization (Chow and Hilbert schemes), Plane and space curves, Families, moduli of curves (algebraic), Projective techniques in algebraic geometry The dimension of the Chow variety 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 Chow variety; incidence divisor; Hilbert-Chow morphism; determinant functor; seminormal variety; simplicial Picard functor Parametrization (Chow and Hilbert schemes), Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) The Hilbert-Chow morphism and the incidence divisor: zero-cycles and divisors
| 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 algorithm; differential operator; Frobenius map; positive characteristic; monomial; elliptic curve Boix, A. F.; De Stefani, A.; Vanzo, D., An algorithm for constructing certain differential operators in positive characteristic, Matematiche (Catania), 70, 1, 239-271, (2015) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Commutative rings of differential operators and their modules, Elliptic curves An algorithm for constructing certain differential operators in positive 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; Galois representations J. Manoharmayum, Pairs of mod 3 and mod 5 representations arising from elliptic curves, Math. Res. Lett. 6 (1999), no. 5-6, 735 -- 754. Galois representations, Elliptic curves over global fields, Elliptic curves Pairs of mod 3 and mod 5 representations arising from 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 multiple structure; doubling; linkage; stratification; vector bundle Manolache, N.: Cohen-Macaulay nilpotent schemes. In: Andrica, D., Blaga, P.A. (eds.) Recent Advances in Geometry and Topology, pp. 235-248. Cluj University Press, Cluj-Napoca (2004) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, complete intersections and determinantal ideals, Parametrization (Chow and Hilbert schemes) Cohen-Macaulay nilpotent 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 quadratic imaginary field; continued fraction expansion; elliptic curves with complex multiplication; \(\sqrt{-19}\)-division points Rishi, Dharam Bir; Parnami, J. C.; Rajwade, A. R.: Complex multiplication by (1 +\sqrt{}-19) 2. Indian J. Pure appl. Math. 14, 630-634 (1983) Complex multiplication and abelian varieties, Arithmetic ground fields for curves, Elliptic curves, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian varieties, Cubic and quartic Diophantine equations Complex multipliction by \((1+\sqrt{-19})/2\)
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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 lifting of torsors; finite flat group scheme; algebraic curve; cotangent complex Local ground fields in algebraic geometry, Curves over finite and local fields, Coverings of curves, fundamental group, (Equivariant) Chow groups and rings; motives Deformation of torsors under monogenic group 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 curves on surfaces; minimal analytic surface; number of algebraic families of curves with fixed arithmetic genus Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles Finiteness of numbers of curves on a minimal surface with \(\kappa=1\)
| 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 \(G\)-Higgs bundle; elliptic curve; real vector bundle; involution Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Elliptic curves Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles
| 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 graph of monomial ideals; multigraded Hilbert scheme; Schubert scheme; Gröbner bases; Gröbner degenerations; Stanley-Reisner ideals DOI: 10.1016/j.jpaa.2004.12.030 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds The graph of monomial ideals
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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 motivic cohomology; correspondence; K-theory; sheaf with transfer Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles Motivic complexes of Suslin and Voevodsky
| 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 normal bundle; ample vector bundle; moving cycle Peternell, T.: Submanifolds with Ample Normal Bundles and a Conjecture of Hartshorne, Interactions of Classical and Numerical Algebraic Geometry, Contemporary Mathematics, vol. 496, pp. 317-330. American Mathematical Society, Providence (2009) (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Complex-analytic moduli problems Submanifolds with ample normal bundles and a conjecture of Hartshorne
| 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 homotopy theory; motives; quadratic forms; homtopy groups of spheres Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Stable homotopy theory, spectra, Homotopy groups of spheres, Algebraic cycles An overview of motivic homotopy theory
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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 finite ground fields; Tate conjecture on algebraic cycles; powers of an ordinary K3 surface; Galois action; Tate classes Yu. G. Zarhin, The Tate conjecture for powers of ordinary \(K3\) surfaces over finite fields , in preparation. Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces The Tate conjecture for powers of ordinary K3 surfaces over finite fields
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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 algebraic singular homology; comparison isomorphisms; tamely ramified class field theory Spieß, Michael; Szamuely, Tamás, On the Albanese map for smooth quasi-projective varieties, Math. Ann., 325, 1, 1-17, (2003) Motivic cohomology; motivic homotopy theory, Algebraic cycles, Geometric class field theory On the Albanese map for smooth quasi-projective varieties
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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 families of rational curves; smooth compactification; Grassmann variety; Quot scheme; Chow ring Strømme, S A, On parametrized rational curves in Grassmann varieties., Lecture Notes in Math, 1266, 251-272, (1987) Grassmannians, Schubert varieties, flag manifolds, Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations, Algebraic moduli problems, moduli of vector bundles On parametrized rational curves in Grassmann varieties
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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 extremal rays; automorphisms; symplectic manifolds Hassett, Brendan; Tschinkel, Yuri, Extremal rays and automorphisms of holomorphic symplectic varieties. K3 surfaces and their moduli, Progr. Math. 315, 73-95, (2016), Birkhäuser/Springer, [Cham] Automorphisms of surfaces and higher-dimensional varieties, Minimal model program (Mori theory, extremal rays), Parametrization (Chow and Hilbert schemes) Extremal rays and automorphisms of holomorphic symplectic 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 algebraic cobordism; group actions; linear algebraic group Krishna, A, Equivariant cobordism of schemes, Doc. Math., 17, 95-134, (2012) Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Equivariant cobordism of schemes
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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 Cojocaru A.C., Shparlinski I.E.: Distribution of Farey fractions in residue classes and Lang--Trotter conjectures on average. Proc. Amer. Math. Soc. 136, 1977--1986 (2008) Farey sequences; the sequences \(1^k, 2^k, \dots\), Elliptic curves over local fields, Elliptic curves Distribution of Farey fractions in residue classes and Lang-Trotter conjectures on average
| 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 Brezing-Weng elliptic curves; pairing friendly elliptic curves; Tate pairing; Ate pairing; pairing-based cryptography Elliptic curves, Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects) Implementing optimal pairings over Brezing-Weng elliptic curves with \(k=18\)
| 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 Kummer hyperelliptic varieties; matrix variety; rationality; Jacobians of hyperelliptic curves \(K3\) surfaces and Enriques surfaces, Elliptic curves, Determinantal varieties, Jacobians, Prym varieties A matrix realization of Kummer hyperelliptic varieties
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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 standard conjecture of Lefschetz type; Galois descent; algebraic cycle; Clemens-Schmid sequence Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, \(4\)-folds, Algebraic cycles On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies
| 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 Nollet, S., A remark on connectedness in Hilbert scheme, Communications in Algebra, 28, 5745-5747, (2000) Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic) A remark on connectedness in Hilbert schemes
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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 elliptic curves; Selmer group; Mordell-Weil rank \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Iwasawa theory, Elliptic curves Chromatic Selmer groups and arithmetic invariants 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 curves; cryptography; Frobenius map; multiplication on elliptic curves Cryptography, Number-theoretic algorithms; complexity, Elliptic curves, Curves over finite and local fields Two efficient algorithms for arithmetic of elliptic curves using Frobenius 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 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves A fast and compact FPGA implementation of elliptic curve cryptography using lambda coordinates
| 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 4-dimensional Sklyanin algebra; elliptic curve; Jacobi theta functions; functional equations; space of meromorphic functions; point modules Staniszkis J.M.: The 4-dimensional Sklyanin algebra. J. Algebra 167(1), 104--115 (1994) Quantum groups (quantized enveloping algebras) and related deformations, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Elliptic curves The 4-dimensional Sklyanin algebra
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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 noncommutative motives; periodic cyclic homology; Tannakian formalism; motivic Galois groups Marcolli, Matilde; Tabuada, Gonçalo, Noncommutative numerical motives, Tannakian structures, and motivic Galois groups, J. Eur. Math. Soc. (JEMS), 18, 3, 623-655, (2016) Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) Noncommutative numerical motives, Tannakian structures, and motivic Galois groups
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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 Hypersurfaces and algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Algebraic cycles On the degree of algebraic cycles on hypersurfaces
| 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 space curve; Hilbert scheme; deformation theory; liaison; semistable normal bundle; linkage D. PERRIN . - C. R. Acad. Sci. Paris, 300, Série I, N^\circ 2, 1985 , p. 39-42. MR 86h:14026b | Zbl 0586.14025 Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes), Formal methods and deformations in algebraic geometry Courbes gauches, fibré normal et liaison. (Space curves, normal bundle and linkage)
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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 height of cycles; complete scheme; line bundles; height machine; Néron- Tate heights Gubler, Walter, Höhentheorie, Math. Ann., 298, 3, 427-455, (1994) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Algebraic cycles, Arithmetic algebraic geometry (Diophantine geometry) Theory of heights. With an appendix by Jürg Kramer: An alternative foundation of the Néron-Tate height
| 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 Sato-Tate conjecture; parametric families of elliptic curves Elliptic curves over global fields, Curves over finite and local fields, Elliptic curves The Sato-Tate distribution in thin parametric families of 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 rational points; integral points; height functions; Mordell-Weil theorem; Mordell's conjecture; lifting rational points; Hilbert's irreducibility theorem; class number one problem Serre, J.P.; ; Lectures on the Mordell-Weil Theorem: Braunschweig, Germany 1989; . Rational points, Elliptic curves, Elliptic curves over global fields, Heights, Arithmetic ground fields for curves, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Arithmetic ground fields for abelian varieties, Units and factorization Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt
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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 complex elliptic curve as real algebraic surface J. Bochnak, J. Huisman, When is a complex elliptic curve the product of two real algebraic curves? Math. Ann.293 (1992), 469-474 Real algebraic sets, Elliptic curves When is a complex elliptic curve the product of two real algebraic 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 elliptic curve; Heegner point; congruent number; rational point of infinite order Elliptic curves over global fields, Elliptic curves A note on the curve \(Y^2=(X+p)(X^2+p^2)\)
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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 Korteweg-de Vries equation; KdV elliptic soliton; Krichever data; hyperelliptic curve; Weierstrass point; Schrödinger operators Treibich, A.; Verdier, J.-L, Solitons elliptiques, (The Grothendieck festschrift, vol. 3, Progr. math., vol. 88, (1990), Birkhäuser-Boston Boston), 437-480 Elliptic curves, KdV equations (Korteweg-de Vries equations), Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, 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.), Soliton equations, Schrödinger operator, Schrödinger equation Elliptic solitons. Appendix by J. Oesterlé: Estimations of the functions \(\psi\) and \(\chi\)
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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 Donaldson-thomas invariants; Hilbert schemes Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes) Donaldson-Thomas invariants of local elliptic surfaces via the topological vertex
| 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 special value; zeta function; higher Chow group; weight homology; weight complex Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Special values of zeta functions of varieties over finite fields via higher Chow groups: a survey
| 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 \(G\)-sets; \(G\)-Hilbert scheme O. Kȩdzierski, The G-Hilbert scheme for \(\frac{1}{r}\)(1,a,r-a), Glasg. Math. J. 53 (2010), 115 -129. McKay correspondence, Parametrization (Chow and Hilbert schemes), Singularities in algebraic geometry The \(G\)-Hilbert scheme for \(\frac 1{r} (1,a, r-a)\)
| 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 affine Grassmannian; moment polytope; Levi restriction; Mirković-Vilonen cycles; Gaitsgory's central sheaves; torus equivariance Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Geometric Langlands program (algebro-geometric aspects), Fibrations, degenerations in algebraic geometry, Group schemes, Algebraic cycles, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Convex polytopes for the central degeneration of the affine Grassmannian
| 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 computer vision; algebraic vision; multiview geometry; projective reconstruction; Hilbert scheme Geometric aspects of numerical algebraic geometry, Rational and birational maps, Machine vision and scene understanding, Numerical aspects of computer graphics, image analysis, and computational geometry, Parametrization (Chow and Hilbert schemes) Projective reconstruction in algebraic vision
| 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 Lang-Trotter conjecture; good reduction; \(\ell \)-adic representation; elliptic curve; Chebotarev's density Elliptic curves, Density theorems, Arithmetic varieties and schemes; Arakelov theory; heights On the Lang-Trotter conjecture about 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 curves; torsion subgroup; bounds; semi-stable Lozano-Robledo, Á; Lundell, B, Bounds for the torsion of elliptic curves over extensions with bounded ramification, Int. J. Number Theory, 6, 1293-1309, (2010) Elliptic curves over global fields, Elliptic curves, Rational points Bounds for the torsion of elliptic curves over extensions with bounded ramification
| 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 cobordism; cohomological operations; Landweber-Novikov operations Vishik, A., \textit{symmetric operations in algebraic cobordism}, Adv. Math., 213, 489-552, (2007) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles Symmetric operations in algebraic cobordism
| 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, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives A tourist's guide to intersection theory on 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 Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives The tautological ring of the moduli space \(M_{2,n}^{rt}\)
| 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; isogenies; additive reduction; parameterized families of elliptic curves Elliptic curves over global fields, Isogeny, Families, moduli of curves (algebraic), Elliptic curves Explicit classification of isogeny graphs of rational 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 tautological class; intersection product; moduli space of stable curves; generators for the Chow group; rank of the homology group Edidin, D, The codimension-two homology of the moduli space of stable curves is algebraic, Duke Math. J., 67, 241-272, (1992) Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes), Étale and other Grothendieck topologies and (co)homologies The codimension-two homology of the moduli space of stable curves is algebraic
| 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 \(G\)-graphs; special representations; binary dihedral groups; McKay correspondence Alvaro Nolla de Celis, \(G\)-graphs and special representations for binary dihedral groups in \(\mathrm{GL}(2,\mathbf{C})\). (to appear in Glasgow Mathematical Journal). McKay correspondence, Parametrization (Chow and Hilbert schemes) \(G\)-graphs and special representations for binary dihedral groups in \(\mathrm{GL}(2,\mathbb C)\)
| 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 zero-cycle; elementary obstruction; Albanese torsor; 1-motive Wittenberg, O.\!, On Albanese torsors and the elementary obstruction, Math. Ann., 340, 4, 805-838, (2008) Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Picard groups, Algebraic cycles, Picard schemes, higher Jacobians On Albanese torsors and the elementary obstruction
| 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; good reduction; point of order 2 Pinch, R.: Elliptic curves with everywhere good reduction (preprint). http://www.chalcedon.demon.co.uk/rgep/publish.html#04 Special algebraic curves and curves of low genus, Elliptic curves, Quadratic extensions, Arithmetic ground fields for curves Elliptic curves with good reduction away from 2. II
| 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 K-theory; morphic cohomology; Segre classes; motivic cohomology Friedlander, Eric M.; Walker, Mark E., Semi-topological \(K\)-theory using function complexes, Topology, 41, 3, 591-644, (2002) Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Generalized (extraordinary) homology and cohomology theories in algebraic topology, Parametrization (Chow and Hilbert schemes) Semi-topological \(K\)-theory using function 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 toric Hilbert scheme; fiber polytope; toric Chow quotient Chuvashova O.V., The main component of the toric Hilbert scheme, Tôhoku Math. J., 2008, 60(3), 365--382 Parametrization (Chow and Hilbert schemes), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Toric varieties, Newton polyhedra, Okounkov bodies The main component of the toric Hilbert scheme
| 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; Weil curves; Weierstraß equation; Weil isogeny; algorithm Special algebraic curves and curves of low genus, Elliptic curves, Software, source code, etc. for problems pertaining to algebraic geometry, Arithmetic ground fields for curves Courbes de Weil et courbes supersingulières. (Weil curves and supersingular 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 External book reviews, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, (Equivariant) Chow groups and rings; motives Book review of: D. A. Cox et al., Toric 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 Biswas, I.; Seshadri, H., On the Kähler structures over quot schemes II, Ill. J. math., 58, 689-695, (2014) Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves, Positive curvature complex manifolds, Vector bundles on curves and their moduli, Parametrization (Chow and Hilbert schemes) On the Kähler structures over Quot schemes. II
| 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 arithmetic of elliptic curve; cyclotomic extensions Elliptic curves over global fields, Cyclotomic extensions, Arithmetic ground fields for curves, Elliptic curves, Arithmetic ground fields for abelian varieties On the Selmer group of an 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 schemes; space curves \textsc{C. Keem and Y.-H. Kim}, Irreducibility of the Hilbert scheme of smooth curves in \({\mathbb{P}}^3\), Arch. Math. \textbf{108} (2017), 593-600. Plane and space curves, Parametrization (Chow and Hilbert schemes) Irreducibility of the Hilbert scheme of smooth curves in \(\mathbb {P}^3\) of degree \(g\) and genus \(g\)
| 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 vector bundles on curves and their moduli; elliptic curves Vector bundles on curves and their moduli, Elliptic curves The moduli space of stable rank 2 parabolic bundles over an elliptic curve with 3 marked 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 elliptic curve; Jacobian; Néron model; Galois group; Frobenius endomorphism LE DUFF (P.) . - Points d'ordre l des jacobiennes de certaines courbes de genre 2 , C. R. Acad. Sci. Paris, Série I t. 325, 1997 , p. 243-246. MR 98g:11069 | Zbl 0948.14023 Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Rational points, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Elliptic curves Points of order \(\ell\) of the Jacobian of special curves of genus 2
| 0 |
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