text
stringlengths 209
2.82k
| label
int64 0
1
|
|---|---|
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 field of small characteristic; algorithm; counting points on elliptic curves; Satoh's algorithm Vercauteren, F., Preneel, B., Vandewalle, J.: A memory efficient version of Satoh's algorithm. In: Advances in cryptology -- EUROCRYPT 2001 (Innsbruck), Lecture Notes in Comput Sci, vol. 2045, pp. 1--13. Berlin Heidelberg New York: Springer 2001 Curves over finite and local fields, Number-theoretic algorithms; complexity, Finite ground fields in algebraic geometry A memory efficient version of Satoh's algorithm
| 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 Arithmetic ground fields for curves, Quadratic extensions, Iwasawa theory, Elliptic curves, Rational points 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 elliptic curves; ranks of the Mordell-Weil groups; ranks of the groups of rational points; Shimura-Taniyama-Weil conjecture; Birch-Swinnerton-Dyer conjecture S. Fermigier, Étude expérimentale du rang de familles de courbes elliptiques sur \(\mathbb{Q}\)
\[
\mathbb{Q}
\]
. Exp. Math. 5 (2), 119--130 (1996) Elliptic curves over global fields, Elliptic curves, Computational aspects of algebraic curves Experimental study of the rank of families 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 Jacobian; blow-up formula; Donaldson invariants; diffeomorphism classification; moduli space of stable rank two vector bundles; Jacobian elliptic surface Friedman, R.: Vector bundles and \(SO(3)\) invariants for elliptic surfaces. J. am. Math. soc. 8, 29-139 (1995) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Differentiable structures in differential topology, Algebraic moduli problems, moduli of vector bundles, Elliptic surfaces, elliptic or Calabi-Yau fibrations Vector bundles and SO(3)-invariants for elliptic 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 graph chordality; framework rigidity; Minkowski weights; Chow cohomology; geometry of cycles Toric varieties, Newton polyhedra, Okounkov bodies, Commutative rings defined by binomial ideals, toric rings, etc., Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Paths and cycles, Combinatorial aspects of simplicial complexes, Algebraic cycles, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Rigidity and flexibility of structures (aspects of discrete geometry), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Toric chordality
| 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 curve over a global field; \(K_1\); local class field theory of curves; Galois cohomology; surfaces over finite fields Wayne Raskind, On \?\(_{1}\) of curves over global fields, Math. Ann. 288 (1990), no. 2, 179 -- 193. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, \(K\)-theory in geometry On \(K_1\) of curves over global fields. Appendix by C. Weibel
| 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 curves; topology of moduli spaces; cohomology rings; Hodge structures; discriminantal varieties; Borel-Moore cohomology' rational cohomology; moduli of curves; discriminants Tommasi O. (2005). Rational cohomology of the moduli space of genus 4 curves. Compos. Math. 141(2): 359--384 Families, moduli of curves (algebraic), (Co)homology theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological properties in algebraic geometry, Spectral sequences and homology of fiber spaces in algebraic topology, Discriminantal varieties and configuration spaces in algebraic topology Rational cohomology of the moduli space of genus 4 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 moduli of curves; metric ribbon graphs; Penner's matrix model; recursion of Eynard-Orantin type; Grothendieck's dessins d'enfants; Deligne-Mumford stack; psi-classes; Virasoro constraint M. Mulase and M. Penkava, \textit{Combinatorial Structure of the Moduli Space of Riemann Surfaces and the KP Equation}, unpublished [http://www.math.ucdavis.edu/~mulase/texfiles/1997moduli.pdf]. Families, moduli of curves (analytic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Coverings of curves, fundamental group, Enumeration in graph theory, Lattice points in specified regions, String and superstring theories; other extended objects (e.g., branes) in quantum field theory Topological recursion for the Poincaré polynomial of the combinatorial 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 fibration method; elliptic curves; computation of \(L\)-functions of hyperelliptic curves over the rational function field Elliptic curves over global fields, \(p\)-adic cohomology, crystalline cohomology, Rational points, Rigid analytic geometry Ranks of elliptic curves over 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 intersection of two plane curves; deformation of singularities; linear system; degeneration; limit linear series Complete intersections, Plane and space curves, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves On the intersection of two 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 crystalline cohomology of higher level; Poincaré lemma; PD structure of higher level Miyatani, K.: Finiteness of crystalline cohomology of higher level. Ann. inst. Fourier 65, No. 3, 975-1004 (2015) \(p\)-adic cohomology, crystalline cohomology Finiteness of crystalline cohomology of higher level
| 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 Diophantine theory of genus 1 curves; local-global principle; rational points; heights; finite basis theorem; Tate-Shafarevich group; arithmetic of elliptic curves J.W.S. Cassels, \textit{Lectures on elliptic curves}, \textit{Lond. Math. Soc. Stud. Texts}\textbf{24}, Cambridge University Press, Cambridge, U.K., (1991). Elliptic curves, Rational points, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Special algebraic curves and curves of low genus Lectures 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 abelian sheaves; higher dimensional generalizations of elliptic sheaves; moduli spaces of abelian sheaves; algebraic stacks Urs Hartl , Uniformizing the Stacks of Abelian Sheaves , Number fields and function fields - two parallel worlds, Progress in Mathematics 239, Birkhäuser, 2005, p. 167-222 Drinfel'd modules; higher-dimensional motives, etc., Modular forms associated to Drinfel'd modules, Representation-theoretic methods; automorphic representations over local and global fields, Arithmetic aspects of modular and Shimura varieties, Formal groups, \(p\)-divisible groups, Symbols and arithmetic (\(K\)-theoretic aspects) Uniformizing the stacks of abelian sheaves
| 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 stability; Chow weight; geometric invariant theory; Hilbert-Mumford criterion; moduli of curves Families, moduli of curves (algebraic), Kähler-Einstein manifolds Hilbert-Mumford criterion for nodal 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 Birch Swinnerton-Dyer conjecture; elliptic curves; height of the Heegner points; derivative of the L-series; class number 3 problem D. Zagier, ''\(L\)-series of elliptic curves, the Birch-Swinnerton-Dyer conjecture, and the class number problem of Gauss,'' Notices Amer. Math. Soc., vol. 31, iss. 7, pp. 739-743, 1984. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Cubic and quartic Diophantine equations, Iwasawa theory, Elliptic curves L-series of elliptic curves, the Birch-Swinnerton-Dyer conjecture, and the class number problem of Gauss
| 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 map; rank of Mordell-Weil group; rational points; family of elliptic curves; cyclic cubic point Rational points, Special algebraic curves and curves of low genus, Cubic and quartic extensions, Elliptic curves, Families, moduli of curves (algebraic) A family of elliptic curves and cyclic cubic field extensions
| 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 Auslander-Reiten quiver; germ of a normal complex surface singularity; isomorphism classes of vector bundles; reflexive modules; reduction cycle; rational singularities; minimal-elliptic singularities; simply- elliptic singularites; torsion free modules over plane curve singularities Kahn, Reflexive Moduln auf einfach-elliptischen Flächensingularitäten, Dissertation (1988) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Representation theory of associative rings and algebras Reflexive Moduln auf einfach-elliptischen Flächensingularitäten. (Reflexive modules on simply elliptic surface singularities)
| 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 division algebras; reduced norms; function field of \(p\)-adic curves; Galois cohomology Galois cohomology of linear algebraic groups, Curves over finite and local fields, Galois cohomology, Algebraic functions and function fields in algebraic geometry, Finite-dimensional division rings Local-global principle for reduced norms over function fields of \(p\)-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 decomposition of uniform fiber bundles over Grassmannian; cohomology ring of flag variety; Chow ring Guyot M.: Caractérisation par l'uniformité des fibrés universels sur la Grassmannienne. Math. Ann. 270, 47--62 (1985) Grassmannians, Schubert varieties, flag manifolds, Cycles and subschemes Caractérisation par l'uniformité des fibrés universels sur la Grassmannienne
| 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 fast algorithm; counting points on elliptic curves; finite fields of small characteristic Curves over finite and local fields, Number-theoretic algorithms; complexity, Finite ground fields in algebraic geometry An extension of Satoh's algorithm and its implementation
| 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 algorithmic number theory; zeta functions; elliptic curves; modular forms; \(p\)-adic cohomology Antoine Chambert-Loir, Compter (rapidement) le nombre de solutions d'équations dans les corps finis, Astérisque 317 (2008), Exp. No. 968, vii, 39 -- 90 (French, with French summary). Séminaire Bourbaki. Vol. 2006/2007. Number-theoretic algorithms; complexity, Finite ground fields in algebraic geometry, Counting solutions of Diophantine equations, Arithmetic varieties and schemes; Arakelov theory; heights, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology, Curves over finite and local fields, Varieties over finite and local fields Counting (quickly) the number of solutions of equations in finite 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 rational curves; quantum cohomology ring; operads; stable trees; Gromov-Witten invariants; Frobenius manifold; WDVV equation; Künneth formula; intersection theory of the moduli space; stable genus-0 curves with \(n\) marked points Kaufmann, R, The intersection form in \(H^### ({\overline{M}}_{0, n})\) and the explicit Künneth formula in quantum cohomology, Int. Math. Res. Not., 19, 929-952, (1996) Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Quantization in field theory; cohomological methods The intersection form in \(H^*(\overline{M}_{On})\) and the explicit Künneth formula in quantum 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 Mordell-Weil rank of elliptic curves Ono, T.: Tringles and Elliptic Curves. II. ibid., 70A, 223-225 (1994). Elliptic curves, Cubic and quartic Diophantine equations, Elliptic curves over global fields Triangles and elliptic curves. 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 Calabi-Yau manifolds; Maple; mirror symmetry; quantum cohomology; number of rational curves; Calabi-Yau hypersurfaces S. Katz, Rational curves on Calabi-Yau manifolds: Verifying predictions of Mirror Symmetry, Algebraic Geometry , Marcel-Dekker, New York, 1994. CMP 95:04 Computational aspects of algebraic curves, Enumerative problems (combinatorial problems) in algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects) Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry
| 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 stack of marked curves; global deformations of Lie algebras; Pursell-Shanks theory; Lie algebra cohomology Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Algebraic moduli problems, moduli of vector bundles, Formal methods and deformations in algebraic geometry Deformations of Lie algebras of vector fields arising from families of 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 moduli of curves; Chow stability Special algebraic curves and curves of low genus, Families, moduli of curves (algebraic), Fine and coarse moduli spaces Chow stability of canonical genus 4 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 distribution of the numbers of points on elliptic curves over a finite prime field J. F. McKee, Subtleties in the distribution of the numbers of points on elliptic curves over a finite prime field, J. London Math. Soc., to appear. Elliptic curves over global fields, Factorization, Curves over finite and local fields, Finite ground fields in algebraic geometry Subleties in the distribution of the numbers of points on elliptic curves over a finite prime 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 rational curves; stable algebraic curves; quantum cohomology of a complex projective algebraic manifold; cohomological field theory; variation of Hodge structures; mirror dual manifold; Gromov-Witten classes; operads for moduli spaces of stable curves M. Kontsevich and Y. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), no. 3, 525-562. Fano varieties, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Applications of manifolds of mappings to the sciences, Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic) Gromov-Witten classes, quantum cohomology, and enumerative geometry
| 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 integral Chow ring, moduli stack of curves, plane quartics (Equivariant) Chow groups and rings; motives, Families, moduli of curves (algebraic), Plane and space curves The integral Chow ring of the stack of smooth non-hyperelliptic curves 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 restricted tangent bundle; cohomology of restricted tangent bundle; symmetric product of tangent bundle Vector bundles on curves and their moduli, Plane and space curves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Cohomological properties of the restriction of \(S^m (\bigwedge^k(T\mathbb P^n))\) to projective 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 Jacobi sum; special values of L-function; Hecke character; Abelian number field; periods of elliptic curves Zeta functions and \(L\)-functions of number fields, Cyclotomic extensions, Elliptic curves, Global ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobsthal and Brewer sums; other complete character sums Valeurs spéciales des fonctions L des caractères des sommes de Jacobi
| 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 \(K3\)-surface; Prym curves; linear systems; contact curves of two Kummer surfaces; Horrocks-Mumford bundle \(K3\) surfaces and Enriques surfaces, Curves in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Contact curves of two Kummer 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 Chow groups; elliptic curves; \(K\)-theory sheaf Michael Spiess, On indecomposable elements of \?\(_{1}\) of a product of elliptic curves, \?-Theory 17 (1999), no. 4, 363 -- 383. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Elliptic curves, Local ground fields in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On indecomposable elements of \(K_1\) of a product 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 KdV equation; integrable Hamiltonian systems; Riemann surfaces; elliptic functions; theta functions; coverings of curves A. O. Smirnov, ''Finite-gap elliptic solutions of the KdV equation,'' Acta Appl. Math., 36 (1994), 125--166. KdV equations (Korteweg-de Vries equations), 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.), Theta functions and curves; Schottky problem, Theta functions and abelian varieties, Jacobians, Prym varieties Finite-gap elliptic solutions of the KdV equation
| 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 Fiber product of elliptic surfaces; Geometric genus \(3\)-folds, Families, fibrations in algebraic geometry, Birational geometry The geometric genus of a desingularized fiber product of elliptic 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 arithmetic curves; line bundles with metrics; Arakelov class group; compactified Chow group; compactified Picard group; Arakelov theory; finiteness of the Picard groups; Arakelov ray class groups Arithmetic varieties and schemes; Arakelov theory; heights, Class groups and Picard groups of orders Arakelov theory for 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 determination of an \(L\)-function from one value; elliptic curves in Weierstrass normal form; modular elliptic curve; isogeny; transcendence theory Stark, H.M.: On the determination of an \(L\)-function from one value. In: Analytic Number Theory, vol. 2 (Allerton Park, IL, 1995). Progress in Mathematics, vol. 139, pp. 737-743. Birkhäuser Boston, Boston (1996) Elliptic curves over global fields, Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the determination of an \(L\)-function from one value
| 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 forms; function field of a quadric; spinor norm; Galois cohomology; unramified cohomology; étale cohomology; Chow group; spectral sequence B. Kahn and R. Sujatha, Unramified cohomology of quadrics II, Duke Mathematical Journal 106 (2001), 449--484. Algebraic theory of quadratic forms; Witt groups and rings, Quadratic forms over general fields, Galois cohomology, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Unramified cohomology of quadrics. 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 finite automorphism group; elliptic fibrations; Enriques surfaces; universal covering surface; global Torelli theorem; dual graphs of nodal curves Kondō, S., Enriques surfaces with finite automorphism groups, Jpn. J. Math., 12, 191-282, (1986) Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Group actions on varieties or schemes (quotients), Transcendental methods of algebraic geometry (complex-analytic aspects), Finite automorphism groups of algebraic, geometric, or combinatorial structures Enriques surfaces with finite automorphism 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 tropicalization; moduli of curves; Berkovich spaces; skeletons; toroidal Deligne-Mumford stacks Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Rigid analytic geometry The tropicalization 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 double coverings of genus 1; local non-dyadic field; monic polynomial; index; elliptic curves Elliptic curves over local fields, Elliptic curves Indices of double coverings of genus 1 over \(p\)-adic 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 cohomology group; cuspidal representation; dimension formula; automorphic forms; elliptic curves; good reduction; Lefschetz fixed point theorem; imaginary quadratic fields Krämer, N.: Beiträge zur arithmetik imaginärquadratischer zahlkörper. Bonner math. Schriften 161 (1985) Automorphic forms, one variable, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Langlands-Weil conjectures, nonabelian class field theory, Elliptic curves, Quadratic extensions Contributions to the arithmetic of imaginary 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 Weierstrass points; curves of low genus; double covering; elliptic involution Keem, C; Martens, G, On curves with all Weierstrass points of maximal weight, Arch. Math., 94, 339-349, (2010) Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus On curves with all Weierstrass points of maximal weight
| 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 three; real multiplications; abelian variety Families, moduli of curves (algebraic), Elliptic curves over global fields, Jacobians, Prym varieties, Complex multiplication and moduli of abelian varieties, Special algebraic curves and curves of low genus, Computational aspects of algebraic curves Genus 3 curves whose Jacobians have endomorphisms by \(\mathbb{Q}(\zeta_7 + \bar{\zeta}_7)\). 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 Euler spiral; Weierstrass curve; Bézier curves; rectangular hyperbola; quadratrix of Hippias; space filling curves; curves of constant width; normal curve; Catenary; elliptic curves; envelopes; arch; simple pendulum; Fibonacci's method; Greek problems Popularization of mathematics, Curves in Euclidean and related spaces, Plane and space curves Curves for the mathematically curious. An anthology of the unpredictable, historical, beautiful, and romantic
| 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 homological mirror symmetry; hypersurface; Landau-Ginzburg model; wrapped Fukaya category; wrapped Floer cohomology; derived category of coherent sheaves; higher-dimensional pants Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Mirror symmetry (algebro-geometric aspects) Speculations on homological mirror symmetry for hypersurfaces in \((\mathbb{C}^{\ast})^n\)
| 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 finiteness of second Chow group; singular surfaces; étale cohomology group Parametrization (Chow and Hilbert schemes), Global ground fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Étale and other Grothendieck topologies and (co)homologies Finiteness results for Chow groups of varieties 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 Transformations of elliptic functions; elliptic curves Elliptic curves A memoir on the transformation of elliptic 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 automorphic forms; toroidal automorphic forms; elliptic curves; vector bundles; graphs of Hecke operators Lorscheid, O., Automorphic forms for elliptic function fields, Math. Z., 272, 3-4, 885-911, (2012) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Structural characterization of families of graphs, Algebraic moduli problems, moduli of vector bundles, Elliptic curves, Hecke algebras and their representations Automorphic forms for elliptic 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 moduli schemes of elliptic curves; Hecke algebra; rank of the group of integral modular units; congruence subgroup Scholl, A. J., On modular units, Math. Ann., 285, 3, 503-510, (1989) Discontinuous groups and automorphic forms, Abelian varieties and schemes, Structure of modular groups and generalizations; arithmetic groups On modular units
| 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 postulation; curves of maximal rank in projective 3-space; hyperplane bundle; linearly normal elliptic curve E. Ballico -Ph. Ellia,Sur la postulation des courbes de P 3 et de leur projections, C. R. Acad. Sc. Paris,299 (1984), pp. 237--240. Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry Sur la postulation des courbes de \({\mathbb{P}}^ n\) et de leurs projections. (On the postulation of projective curves and of their projections)
| 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 polylogarithm; arithmetic Chow groups; Arakelov geometry; Deligne cohomology Polylogarithms and relations with \(K\)-theory, Arithmetic varieties and schemes; Arakelov theory; heights, Applications of methods of algebraic \(K\)-theory in algebraic geometry The Maillot-Rössler current and the polylogarithm on abelian 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 linear sieve with weights; group order of elliptic curves Steuding, Jörn; Weng, Annegret, On the number of prime divisors of the order of elliptic curves modulo \textit{p}, Acta arith., 117, 4, 341-352, (2005) Applications of sieve methods, Elliptic curves over global fields, Elliptic curves On the number of prime divisors of the order of elliptic curves modulo~\(p\)
| 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; higher Chow group; Hodge theory Lewis J.\ D., A note on indecomposable motivic cohomology classes, J. reine angew. Math. 485 (1997), 161-172. Parametrization (Chow and Hilbert schemes), Generalizations (algebraic spaces, stacks), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A note on indecomposable motivic cohomology classes
| 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 group; procyclic extension of rational function field; elliptic curves over function fields Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Elliptic curves Mordell-Weil groups in procyclic extensions of a function 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 modular \(j\)-invariant; homotopy Lie theory; period integrals of elliptic curves; differential graded Lie algebra Modular and automorphic functions, Computational number theory, Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations Inverse values of the modular \(j\)-invariant and homotopy Lie 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 elliptic curves; isogenies; isolated curves; embedding degree; cryptography; distribution of primes Curves over finite and local fields, Cryptography, Elliptic curves, Isogeny Isolated elliptic curves and the MOV attack
| 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; Witt ring over elliptic curve; étale cohomology of a curve Arason J. Elman R. Jacob B. On the Witt ring of an elliptic curve (in preparation) Algebraic theory of quadratic forms; Witt groups and rings, Elliptic curves over local fields, Vector bundles on curves and their moduli, Elliptic curves The Witt ring of an elliptic curve over a local 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 modular elliptic curve; twisted self-fiber product; modular (new) forms of weight 4 Schütt, M., On the modularity of three Calabi-Yau threefolds with bad reduction at 11 Calabi-Yau manifolds (algebro-geometric aspects), Holomorphic modular forms of integral weight, Relations with algebraic geometry and topology, Integral representations of infinite groups On the modularity of three Calabi-Yau threefolds with bad reduction at 11
| 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 over the rational function field; ring of invariants; excellent families of elliptic curves; Weyl group; Mordell-Weil lattice of a rational elliptic surface Shioda, T; Usui, H, Fundamental invariants of Weyl groups and excellent families of elliptic curves, Comment. Math. Univ. St. Pauli, 41, 169-217, (1992) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Algebraic functions and function fields in algebraic geometry, Actions of groups on commutative rings; invariant theory, Families, moduli of curves (algebraic) Fundamental invariants of Weyl groups and excellent families 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 average period of an elliptic curve; elliptic curves Elliptic functions and integrals, Elliptic curves, Elliptic curves over global fields On the average period 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 valuations of division polynomials; elliptic curves Cheon, J., Hahn, S.: Explicit valuations of division polynomials of an elliptic curve. Manuscripta Math. 97, 319--328 (1998) Elliptic curves over global fields, Elliptic curves, Curves over finite and local fields Explicit valuations of division polynomials 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 Chow group; rational equivalence class; Hilbert scheme of space curves Gotzmann, G. 1994.Der kombinatorische Teil der ersten Chowgruppe eines Hilbertschemas von Raumkurven, Schriftenreihe des Mathematischen Instituts der Universität Münster, 3. Serie 13 98Münster: Universität Münster, Mathematisches Institut. Parametrization (Chow and Hilbert schemes), Plane and space curves, (Equivariant) Chow groups and rings; motives The combinatorial part of the first Chow group of a Hilbert scheme of space 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 theorems; application to rational curves; entire functions; numbers; determinant; product of differences; roots; equation of \(m^{\text th}\) degree; forms; analytic representation; theory of involutions Algebraic functions and function fields in algebraic geometry, Plane and space curves, Rational and birational maps, Entire functions of one complex variable (general theory), Determinants, permanents, traces, other special matrix functions, Difference operators, Equations in general fields, Forms of degree higher than two, Representations of entire functions of one complex variable by series and integrals A new algebraic theorem and its special application to a manner of studying the rational 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 curves of higher genus; JFM 56.0180.05; finiteness of integral points on curves; Gelfond-Baker method; effective version of Siegel's theorem; Galois coverings Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Linear forms in logarithms; Baker's method Integral points on Galois covers
| 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 tachyon scattering amplitudes; divisiors with complex coefficients; moduli space of complex algebraic curves of genus \(g\) with \(n\) given points; Belavin-Knizhnik theorem; bosonic string theory; Polyakov volume form; Weil-Deligne pairings; Arakelov measures; Quillen metrics Applications of deformations of analytic structures to the sciences, Families, moduli of curves (algebraic), Holomorphic bundles and generalizations, Applications of holomorphic fiber spaces to the sciences, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Deformations of complex structures Erratum: A unified approach to string scattering amplitudes
| 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 efficiency of function field sieve; discrete logarithms in finite fields; supersingular elliptic curves Granger, R., Holt, A., Page, D., Smart, N.P., Vercauteren, F.: Function field sieve in Characteristic three.In: Algorithmic Number Theory Symposium - ANTS VI, pp. 223--234. Springer LNCS 3076 (2004) Algebraic coding theory; cryptography (number-theoretic aspects), Number-theoretic algorithms; complexity, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Function field sieve in 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 elliptic curves; partitions of a set; Mordell equations; Lutz-Nagell theorem Cubic and quartic Diophantine equations, Elliptic curves over global fields, Elementary theory of partitions, Computer solution of Diophantine equations, Elliptic curves, Computer solution of Diophantine equations An elliptic Diophantine equation from the study of partitions
| 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 cohomology groups; infinite dimensionality of the Chow group V. Srinivas, Gysin maps and cycle classes in Hodge cohomology, Proc. Indian Acad. Sci. Math. Sci. 103 (1993), 209--247. Parametrization (Chow and Hilbert schemes), (Co)homology theory in algebraic geometry, (Equivariant) Chow groups and rings; motives Gysin maps and cycle classes for Hodge 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 sine-Gordon equation; Lamb ansatz; three-sheeted covering; elliptic finite-gap solutions; Krichever curve; two-gap Lamé potential; doubly periodic solutions A. O. Smirnov. ''3-Elliptic solutions of the sine-Gordon equation, Mat. Zametki, 62, No. 3, 440--452 (1997). KdV equations (Korteweg-de Vries equations), Solutions to PDEs in closed form, Elliptic curves 3-elliptic solutions of the sine-Gordon equation
| 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; complex multiplication; construction of elliptic curves over finite fields; subgroup of large prime order Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves over global fields, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Rational groups of elliptic curves suitable for cryptography
| 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 of stable marked rational curves; enumerative geometry; Gromov-Witten invariants; quantum cohomology; stable maps Joachim Kock and Israel Vainsencher, A fórmula de Kontsevich para curvas racionais planas, 22^{\?} Colóquio Brasileiro de Matemática. [22nd Brazilian Mathematics Colloquium], Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 1999 (Portuguese). Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Plane and space curves, Varieties of low degree, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry The Kontsevich formula for rational 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 stable bundles; mod two cohomology; skew Schur polynomial; cup product pairings Floer homology, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli The mod two cohomology of the moduli space of rank two stable bundles on a surface and skew Schur 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 isolated curve singularities; zero-dimensional schemes; unstable rank-two vector bundles; equisingular families of curves; prescribed singularities Keilen T., Trans. Amer. Math. Soc. 355 pp 3485-- (2003) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Divisors, linear systems, invertible sheaves, Singularities of curves, local rings, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces Irreducibility of equisingular families 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 normal basis; optimal normal bases; elliptic curves over finite fields; elliptic curve cryptosystems; codes; finite fields; finite field arithmetic; factoring of polynomials; discrete logarithm problem; irreducible polynomials; survey Menezes, A. J., Blake, I. F., Gao, X., Mullin, R. C., Vanstone, S. A., \& Yaghoobian, T. (1993). Applications of finite fields. Kluwer international series in engineering and computer science. ISBN: 0-7923-9282-5. Finite fields and commutative rings (number-theoretic aspects), Research exposition (monographs, survey articles) pertaining to number theory, Structure theory for finite fields and commutative rings (number-theoretic aspects), Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography, Geometric methods (including applications of algebraic geometry) applied to coding theory, Elliptic curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Polynomials over finite fields, Curves over finite and local fields Applications of finite 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 surfaces isogenous to a product of curves; finite groups; mapping class groups; moduli spaces; surfaces of general type Penegini, M.: Surfaces isogenous to a product of curves, braid groups and mapping class groups. In: Beauville Surfaces and Groups, Springer Proceedings in Math. and Stats. pp. 129-148 (2015) Surfaces of general type, Homotopy theory and fundamental groups in algebraic geometry, Braid groups; Artin groups, Geometric group theory Surfaces isogenous to a product of curves, braid groups and mapping class 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 Birch-Swinnerton-Dyer conjecture; Families of elliptic curves with large Tate-Shafarevich groups; Selmer group Kramer, K., A family of semistable elliptic curves with large Tate-Shafarevich groups, Proc. Amer. Math. Soc., 89, 379-386, (1983) Families, moduli of curves (algebraic), Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) A family of semistable elliptic curves with large Tate-Shafarevitch 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 quantum cohomology; Frobenius manifolds; isomonodromic deformations of connections; versal deformations; Calabi-Yau manifolds; algebraic stacks; homological Chow groups; Gromov-Witten-type invariants; Painlevé VI Yu. I. Manin, \textit{Frobenius manifolds, Quantum Cohomology, and Moduli Spaces} (Faktorial, Moscow, 2002) [in Russian]. Calabi-Yau manifolds (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to quantum theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Frobenius manifolds, quantum cohomology, and moduli spaces
| 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-forms; elliptic quartic curves; Plücker coordinates Elliptic curves, Parametrization (Chow and Hilbert schemes) On Chow-forms of elliptic quartic 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 curves; relations with integrable systems; coverings of curves; soliton equations; finite-gap potentials; elliptic functions Treibich, A.: Beyond the exceptional covers and their canonical hyper-elliptic potentials preprint 99-3. 43 (1999) Relationships between algebraic curves and integrable systems, Coverings of curves, fundamental group, Elliptic curves, KdV equations (Korteweg-de Vries equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions Beyond the exceptional covers and their canonical hyper-elliptic potentials
| 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 \(KV\) groups; higher \(K\)-theory; Karoubi-Villamayor theory; higher Chow construction; spectral sequences; motivic cohomology Landsburg S. , Some filtrations on higher K-theory and related invariants , K-theory 6 ( 1992 ) 431 - 457 . MR 1194843 | Zbl 0774.14006 Applications of methods of algebraic \(K\)-theory in algebraic geometry, Parametrization (Chow and Hilbert schemes), \(K\)-theory of schemes Some filtrations on higher \(K\)-theory and related 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 rational curves; number of rational points; elliptic surface Billard, H.: Sur la répartition des points rationnels de surfaces elliptiques, J. reine angew. Math. 505, 45-71 (1998) Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Global ground fields in algebraic geometry On the distribution of rational points of elliptic 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 sums of two cubes; Heegner points; elliptic curve; prime numbers 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) Cube sums of the forms \(3p\) and \(3p^2\)
| 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 rank of elliptic curves; Heron triangles A. Dujella and J. Peral, Elliptic curves coming from Heron triangles, Rocky Mountain J. Math. 44 (2014), 1145--1160. Elliptic curves, Elliptic curves over global fields Elliptic curves coming from Heron triangles
| 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; positive characteristic; ring of unipotent bundles; tensor product of matrices; modular representation ring Vector bundles on curves and their moduli, Elliptic curves, Canonical forms, reductions, classification, Modular representations and characters On the ring of unipotent vector bundles on elliptic curves in positive characteristics
| 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 compactifications of families of elliptic curves; threefolds with trivial canonical bundle; Calabi-Yau threefolds A. I. Markushevich,Theory of Functions of a Complex Variable, Chelsea, New York, 1993. \(3\)-folds, Elliptic surfaces, elliptic or Calabi-Yau fibrations A few examples of elliptic threefolds with trivial canonical bundle
| 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 Weil-Deligne group; non-archimedean local field; \(L\)-factor; conductor; \(\varepsilon\)-factor; root number; elliptic curves Rohrlich, D. E., \textit{elliptic curves and the Weil-Deligne group}, Elliptic curves and related topics, 125-157, (1994), American Mathematical Society, Providence, RI Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves over local fields, Local ground fields in algebraic geometry Elliptic curves and the Weil-Deligne 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 explicit formulae of prime number theory; Riemann zeta-function; Poisson summation formula; Riemann hypothesis; Hadamard product formula; zeros; prime number theorem; Lindelöf hypothesis; zeta-functions attached to curves over finite fields; approximate functional equation; large number of exercises Patterson, S.J. (1988). An Introduction to the Theory of the Riemann Zeta-Function. Cambridge Studies in Advanced Mathematics 14 . Cambridge: Cambridge Univ. Press. \(\zeta (s)\) and \(L(s, \chi)\), Research exposition (monographs, survey articles) pertaining to number theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry An introduction to the theory of the Riemann zeta-function
| 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 variety; toric bundle; complete fan of cones; cohomology; total Chern classes; Chow ring; Grothendieck ring Michałek, M., Miró-Roig, R.M.: Smooth monomial Togliatti systems of cubics. Available at arXiv:1310.2529 Toric varieties, Newton polyhedra, Okounkov bodies Equivariant bundles on 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 elliptic curves; torsors; curves of genus one; models; degenerations; dual graphs; rational points Curves over finite and local fields, Rational points, Elliptic curves over local fields Models of torsors under 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 \(K3\) surfaces; elliptic curves; field of moduli; complex multiplication; class field theory; abelian surfaces \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties The field of moduli of singular \(K3\) 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 tachyon scattering amplitudes; divisors with complex coefficients; moduli space of complex; algebraic curves of genus g with n given points; Belavin-Knizhnik theorem; bosonic string theory; Polyakov volume form; Weil-Deligne pairings; Arakelov measures; Quillen metrics Voronov, AA, A unified approach to string scattering amplitudes, Commun. Math. Phys., 131, 179, (1990) Applications of deformations of analytic structures to the sciences, Families, moduli of curves (algebraic), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Holomorphic bundles and generalizations, Applications of holomorphic fiber spaces to the sciences, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Deformations of complex structures A unified approach to string scattering amplitudes
| 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 with coefficients; complexes of cycles; localization complexes for varieties; cycle modules; intersections; Chow groups M.~Rost, \emph{Chow groups with coefficients}, Doc. Math. 1 (1996), No. 16, 319--393. https://www.elibm.org/article/10000028; zbl 0864.14002; MR1418952 Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Higher symbols, Milnor \(K\)-theory Chow groups with coefficients
| 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 endomorphism ring; real algebraic structure of complex elliptic curves as real algebraic surfaces; complex multiplication; real algebraic torus J. Huisman, The underlying real algebraic structure of complex elliptic curves. Math. Ann.294 (1992), 19-35 Real algebraic sets, Elliptic curves The underlying real algebraic structure of complex 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 surfaces of general type; components of the moduli space; fibration by genus two curves; universal deformation; Euler number W. K. Seiler, Moduli of surfaces of general type with a fibration by genus two curves. Math. Ann.301, 771--812 (1995). Families, moduli, classification: algebraic theory, Formal methods and deformations in algebraic geometry, Surfaces of general type, Algebraic moduli problems, moduli of vector bundles Moduli of surfaces of general type with a fibration by genus two 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 quotient; Hilbert quotient; moduli of curves; phylogenetic trees; geometric invariant theory; toric geometry; tropical geometry Gibney, A., Maclagan, D.: Equations for Chow and Hilbert quotients. Algebra Number Theory. \textbf{7}, 855-885 (2010). arXiv:0707.1801 Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies, Geometric invariant theory, Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes) Equations for Chow and Hilbert quotients
| 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 theta-characteristics; family of smooth projective curves; characteristic two Families, moduli of curves (algebraic), Theta functions and abelian varieties Theta-characteristics on curves in characteristic 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 Bibliography; moduli spaces of algebraic curves; Hilbert schemes; stable algebraic curves; Deligne-Mumford compactification; Brill-Noether theory; geometric invariant theory; families of curves J. Harris, I. Morrison, \textit{Moduli of curves}. Springer 1998. Families, moduli of curves (algebraic), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Geometric invariant theory Moduli 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 Hopf construction; points of infinite order; elliptic curves; torsion point Elliptic curves over global fields, Elliptic curves, Sums of squares and representations by other particular quadratic forms Quadratic forms and elliptic curves. IV
| 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; double ramification cycle; quantum KdV; quantum tau function; Hurwitz numbers Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Deformation quantization, star products, Families, moduli of curves (algebraic) The quantum Witten-Kontsevich series and one-part double Hurwitz numbers
| 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.