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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 moduli of vector bundles over a curve; Chow group Choe, I.; Hwang, J.-M., Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve, Math. Z., 253, 2, 281-293, (2006) (Equivariant) Chow groups and rings; motives, Vector bundles on curves and their moduli, Classical real and complex (co)homology in algebraic geometry, Motivic cohomology; motivic homotopy theory Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Families, moduli of curves (algebraic), Algebraic cycles, Stacks and moduli problems, Coverings of curves, fundamental group Chow rings of low-degree Hurwitz 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 motivic cobordism; Rost motive, compact Lie groups, torsors (Equivariant) Chow groups and rings; motives, Group actions on varieties or schemes (quotients), Classifying spaces of groups and \(H\)-spaces in algebraic topology Note on Chow rings of nontrivial \(G\)-torsors over a 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 triple product \(p\)-adic \(L\)-functions; elliptic Stark conjecture; modular forms \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the elliptic Stark conjecture in higher 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 Algebraic cycles, Stacks and moduli problems Strong cycles and intersection products on good 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 higher Chow groups; Beilinson's motivic cohomology; cycle class map; mixed motives Applications of methods of algebraic \(K\)-theory in algebraic geometry, Parametrization (Chow and Hilbert schemes), Generalizations (algebraic spaces, stacks), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Extensions of motives, higher Chow groups and special values of \(L\)- functions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; Murre's conjectures; Chow-Künneth decomposition; algebraic cycle Iyer, Jaya NN; Müller-Stach, Stefan, Chow-Künneth decomposition for some moduli spaces, Doc. Math., 14, 1-18, (2009) Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Algebraic moduli problems, moduli of vector bundles, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Chow-Künneth decomposition for some 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 higher reciprocity law; modular functions of weight one; elliptic curves; 2-torsion M. Koike, ''Higher reciprocity law, modular forms of weight 1, and elliptic curves,''Nagoya Math. J.,98, 109--115 (1985). Langlands-Weil conjectures, nonabelian class field theory, Holomorphic modular forms of integral weight, Galois representations, Algebraic functions and function fields in algebraic geometry Higher reciprocity law, modular forms of weight 1 and 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 semistable vector bundle; polystable vector bundle; vector bundles on elliptic curves; saturated subbundle Vector bundles on curves and their moduli, Elliptic curves The subbundles of decomposable vector bundles over 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 resultants; Chow varieties; join pairing; infinite loop spaces; complex suspension; homotopy equivalence; algebraic cycles; total Chern class map Judith Plümer, Resultants and the algebraicity of the join pairing on Chow varieties, Trans. Amer. Math. Soc. 349 (1997), no. 6, 2187 -- 2209. Parametrization (Chow and Hilbert schemes), Generalized (extraordinary) homology and cohomology theories in algebraic topology, Algebraic cycles, Homology of classifying spaces and characteristic classes in algebraic topology Resultants and the algebraicity of the join pairing on Chow 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 Chow groups; zero-zycles; Abel morphism; singular projective surface; Grothendieck group M. Levine and V. Srinivas : Zero-cycles on certain singular elliptic surfaces . Comp. Math. 52 (1984) 179-196. Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Parametrization (Chow and Hilbert schemes) Zero cycles on certain singular 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 finite field; product of elliptic curves; Tate conjecture; Chow motives; theory of Honda-Tate Spiess, M., Proof of the Tate conjecture for products of elliptic curves over finite fields, Math. Ann., 314, 285-290, (1999) Varieties over finite and local fields, Finite ground fields in algebraic geometry, Algebraic cycles, Elliptic curves over global fields, Elliptic curves, \(p\)-adic cohomology, crystalline cohomology Proof of the Tate conjecture for products of elliptic curves over 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 threefold; filtration on the Chow group; Chow motives J. P. Murre, On a conjectural filtration on the Chow groups of an algebraic variety. I. The general conjectures and some examples, Indag. Math. (N.S.) 4 (1993), no. 2, 177 -- 188. , https://doi.org/10.1016/0019-3577(93)90038-Z J. P. Murre, On a conjectural filtration on the Chow groups of an algebraic variety. II. Verification of the conjectures for threefolds which are the product on a surface and a curve, Indag. Math. (N.S.) 4 (1993), no. 2, 189 -- 201. Parametrization (Chow and Hilbert schemes), Generalizations (algebraic spaces, stacks), \(3\)-folds On a conjectural filtration on the Chow groups of an algebraic variety. II: Verification of the conjectures for threefolds which are the product of a surface and a curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular curves; \(p\)-adic modular forms; Hida and Coleman theories Congruences for modular and \(p\)-adic modular forms, \(p\)-adic theory, local fields, Rigid analytic geometry, Modular and Shimura varieties Higher Hida and Coleman theories on the modular 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 Structure of families (Picard-Lefschetz, monodromy, etc.), Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and moduli of abelian varieties, Families, moduli of curves (algebraic) Complete families of indecomposable non-simple 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 Chow groups; zero-cycles; Calabi-Yau hypersurfaces I. Bazhov, Additive structures on cubic hypersurfaces, 8 pp. [arXiv:1307.6085] (Equivariant) Chow groups and rings; motives, Algebraic cycles On the Chow group of zero-cycles of 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 effective cycles; symmetric product; Abel-Jacobi morphism; Brill-Noether theory Algebraic cycles, Divisors, linear systems, invertible sheaves Effective cycles on the symmetric product of a curve. II: The Abel-Jacobi faces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 rings; decomposition of the diagonal; and the topology of families Voisin, C., \textit{Chow Rings, Decomposition of the Diagonal, and the Topology of Families}, (2014), Princeton University Press, and Oxford Research exposition (monographs, survey articles) pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.) Chow rings, decomposition of the diagonal, and the topology of families
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Chow group; generalized Bloch conjecture D. Eklund, Curves on Heisenberg invariant quartic surfaces in projective 3-space, arXiv:1010.4058v2. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Chow group of zero cycles for the quotient of certain Calabi-Yau varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(j\)-invariants of the elliptic curves; infinitely many elliptic curves over \(\mathbb{Q}\) with nonsplit mod \(11\) representations Chen, I.; Cummins, C.: Elliptic curves with non-split mod 11 representations, Math. comp. 73, No. 246, 869-880 (2004) Elliptic curves over global fields, Elliptic and modular units, Arithmetic aspects of modular and Shimura varieties, Rational points, Computational aspects of algebraic curves Elliptic curves with nonsplit mod \(11\) 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 Neron-Severi group; Grassmannian; \(d\)-fold symmetric product of projective space Elizondo, E. J.; Srinivas, V.: Some remarks on Chow varieties and Euler--Chow series. J. pure appl. Algebra 166, No. 1--2, 67-81 (2002) Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves Some remarks on Chow varieties and Euler-Chow 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 D.R. Morrison, D.S. Park and W. Taylor, \textit{Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces}, arXiv:1610.06929 [INSPIRE]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Yang-Mills and other gauge theories in quantum field theory Non-Higgsable abelian gauge symmetry and \(\text{F}\)-theory on fiber products of rational 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 Costello, K., \textit{higher genus Gromov-Witten invariants as genus zero invariants of symmetric products}, Ann. of Math. (2), 164, 561-601, (2006) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Higher genus Gromov-Witten invariants as genus zero invariants of symmetric products
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; torsion zero-cycles; projective surface Masanori Asakura and Shuji Saito, Surfaces over a \?-adic field with infinite torsion in the Chow group of 0-cycles, Algebra Number Theory 1 (2007), no. 2, 163 -- 181. Algebraic cycles, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects) Surfaces over a \(p\)-adic field with infinite torsion in the Chow group of 0-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 algebraic stacks; integral Chow ring; hyperelliptic curves of even genus [Ed-Fu2] D. Edidin and D. Fulghesu, The integral Chow ring of the stack of hyperelliptic curves of even genus, Math. Res. Lett. 16 (2009), no. 1, 27--40. (Equivariant) Chow groups and rings; motives, Generalizations (algebraic spaces, stacks), Equivariant homology and cohomology in algebraic topology, Families, moduli of curves (algebraic) The integral Chow ring of the stack of hyperelliptic curves of even genus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves high-rank elliptic curve; rational 2-torsion point K. Nagao: Construction of high-rank elliptic curves with a non trivial torsion point. Math. Comp., 66, 411-415 (1997). JSTOR: Elliptic curves over global fields, Elliptic curves, Cubic and quartic Diophantine equations, Computer solution of Diophantine equations, Computational aspects of algebraic curves Construction of high-rank elliptic curves with a nontrivial torsion point
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Chow groups; motives; Chow-Künneth decomposition C. Vial, Chow--Künneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles, J. Alg. Geom., 24 (2015), 51--80. (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Algebraic cycles Chow-Künneth decomposition for \(3\)- and \(4\)-folds fibred by varieties with trivial Chow group of zero-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 (Equivariant) Chow groups and rings; motives Chow cohomology groups of algebraic surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion of elliptic curves; Jacobian; modular curve Kamienny, S., \textit{torsion points on elliptic curves over fields of higher degree}, Int. Math. Res. Not. IMRN, 6, 129-133, (1992) Elliptic curves, Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Rational points, Elliptic curves over global fields Torsion points on elliptic curves over fields of higher degree
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Calabi-Yau 3-folds; Mordell-Weil rank; rational elliptic surfaces; elliptic fibration; Schoen 3-folds; Namikawa examples; quantum gravity; abelian gauge algebra; F-theory compactification; massless particle spectrum; U(1) charge; charged singlet matter; anomaly cancellation; Weierstrass model; Elkies models; birational Calabi-Yau Families, fibrations in algebraic geometry, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory Elliptic threefolds with high Mordell-Weil rank
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 Chow group; algebraic cycle; Fano variety; complete intersection Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects) A weak Lefschetz result for Chow groups of complete intersections
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves high rank; non-constant elliptic curve; rational 2-torsion Stéfane Fermigier, Construction of high-rank elliptic curves over \? and \?(\?) with non-trivial 2-torsion (extended abstract), Algorithmic number theory (Talence, 1996) Lecture Notes in Comput. Sci., vol. 1122, Springer, Berlin, 1996, pp. 115 -- 120. Elliptic curves over global fields, Elliptic curves, Computational aspects of algebraic curves Construction of high-rank elliptic curves over \(\mathbb Q\) and \(\mathbb Q(t)\) with non-trivial 2-torsion. (Extended abstract)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Abelian variety; Ceresa cycle; Abel-Jacobi map; coniveau filtration; Griffiths group Totaro, B., Complex varieties with infinite Chow groups modulo 2, Ann. of Math. (2), 183, 363-375, (2016) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Jacobians, Prym varieties Complex varieties with infinite Chow groups modulo 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 MCM modules; matrix factorization; Orlov's equivalence; elliptic curve L. Galinat, Orlov's equivalence and maximal Cohen-Macaulay modules over the mone of an elliptic curve, Math. Nachr., 287, 1438-1455, (2014) Cohen-Macaulay modules in associative algebras, Elliptic curves Orlov's equivalence and maximal Cohen-Macaulay modules over the cone 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 Lekili, Y., Polishchuk, A.: A modular compactification of \({\mathcal M}_{1,n}\) from \(A_\infty \) structures. Preprint (2014), arXiv:1408.0611 Elliptic curves, Calabi-Yau manifolds (algebro-geometric aspects), Massey products Massey and Fukaya products 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 Steenrod algebra, Symmetric products and cyclic products in algebraic topology, Algebraic cycles, (Equivariant) Chow groups and rings; motives, Eilenberg-Mac Lane spaces Algebraic cycles representing cohomology operations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves discriminant loci; Whitney stratification; delta-stratification; characteristic cycle; pushforward sheaf Structure of families (Picard-Lefschetz, monodromy, etc.), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) Higher discriminants and the topology of algebraic maps
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves indecomposability; étale fundamental group; Grothendieck-Teichmüller group; hyperbolic curve; configuration space Coverings of curves, fundamental group, Algebraic number theory: global fields On the indecomposability of profinite groups related to hyperbolic 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 indecomposable projective modules on affine domains; Grothendieck group V. Srinivas, Indecomposable projective modules on affine domains, Compositio Math., to appear. Projective and free modules and ideals in commutative rings, Relevant commutative algebra, Grothendieck groups, \(K\)-theory and commutative rings Indecomposable projective modules on affine domains
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 variety; Chow motive; hard Lefschetz theorem; Lefschetz decomposition Künnemann, K., A Lefschetz decomposition for Chow motives of abelian schemes, Invent. Math., 113, 1, 85-102, (1993) Generalizations (algebraic spaces, stacks), Algebraic theory of abelian varieties, Parametrization (Chow and Hilbert schemes), Algebraic cycles A Lefschetz decomposition for Chow motives of 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 elliptic curves over the rational field; Diophantine \(m\)-tuple; high rank; rational points; Mordell-Weil group A. Dujella, Irregular Diophantine \(m\)-tuples and elliptic curves of high rank, Proc. Japan Acad. Ser. A Math. Sci. 76 (2000), no. 5, 66-67. Elliptic curves over global fields, Sequences and sets, Elliptic curves Irregular Diophantine \(m\)-tuples and elliptic curves of high rank
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; algebraic stacks; tautological classes Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Chow rings of stacks of prestable curves. I
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic geometry W. Hoyt, On the Chow bunches for different projective embeddings of a complete variety , Amer. J. Math. 88 (1966), 273-278. JSTOR: Algebraic geometry On the Chow bunches for different projective embeddings of a complete variety
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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 Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Representation-theoretic methods; automorphic representations over local and global fields, Algebraic cycles The standard sign conjecture on algebraic cycles: the case of Shimura 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 high rank elliptic curves; nontrivial rational point of order two Kihara S., Proc. Japan Acad. Ser. A Math. Sci. 73 (9) pp 165-- (1997) Elliptic curves over global fields, Elliptic curves, Rational points Construction of high-rank elliptic curves with a non-trivial rational point of order 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 permutation module; Chow motive; geometrically rational surface Rational and ruled surfaces, (Equivariant) Chow groups and rings; motives Permutation modules and Chow motives of geometrically rational 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 existence of curves on abelian variety; product of two elliptic curves; degree of irrationality Yoshihara, H, Existence of curves of genus three on a product of two elliptic curves, J. Math. Soc. Japan, 49, 531-537, (1997) Special algebraic curves and curves of low genus, Elliptic curves, Abelian varieties and schemes Existence of curves of genus three on a product of two 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 modular and semi-stable elliptic curves; mod \(N\) representations associated with elliptic curves; torsion points Silverberg, Alice, Explicit families of elliptic curves with prescribed mod \(N\) representations.Modular forms and Fermat's last theorem, Boston, MA, 1995, 447-461, (1997), Springer, New York Elliptic curves over global fields, Galois representations, Elliptic curves Explicit families of elliptic curves with prescribed \(\text{mod } N\) 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 Chow group; Chern class; Euler class Barge, J.; Morel, F., Groupe de Chow des cycles orientés et classes d'Euler des fibrés vectoriels, C. R. Acad. Sci. Paris, 330, 287-290, (2000) Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Characteristic classes and numbers in differential topology The Chow group of oriented cycles and the Euler class of vector 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 André-Oort; modular curve; Shimura variety; Manin-Mumford Daw, C., A simplified proof of the André-Oort conjecture for products of modular curves, Arch. Math. (Basel), 98, 433-440, (2012) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Abelian varieties of dimension \(> 1\) A simplified proof of the André-Oort conjecture for products of modular 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 Local Cohomology; connectedness P. Schenzel, On connectedness and indecomposibility of local cohomology modules, Manuscr. Math. 128 (2009), 315--327. Local cohomology and commutative rings, Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) On connectedness and indecomposibility of local cohomology modules
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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 unramified cohomology; algebraic cycles; rationality Algebraic cycles, Rationality questions in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry Unramified cohomology, algebraic cycles and rationality
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher order derivatives; Wahl's Gauss map; Massey products Karpishpan, Y., On higher-order differentials of the period map, Duke Math. J., 72, 3, 541-571, (1993) Families, moduli, classification: algebraic theory, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Period matrices, variation of Hodge structure; degenerations On higher-order differentials of the period map
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(K3\) surface; Enriques surface; automorphism group; Petersen graph \(K3\) surfaces and Enriques surfaces, Computational aspects of algebraic surfaces The elliptic modular surface of level 4 and its reduction modulo 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 integral Tate conjecture; quadric bundles Rational and unirational varieties, (Equivariant) Chow groups and rings; motives On the Chow groups of certain geometrically rational 5-folds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry An infinitesimal Noether-Lefschetz theorem for Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic curves; GIT stability; Chow variety; Hilbert scheme Vector bundles on curves and their moduli, Parametrization (Chow and Hilbert schemes), Stacks and moduli problems, Families, moduli of curves (algebraic) On Chow stability for algebraic 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 \(p\)-closed derivation; characteristic \(p\); ruled surface Kawazoe, M.: A note on purely inseparable morphisms from an elliptic ruled surface. Arch. math. (Basel) 75, 422-429 (2000) Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Local ground fields in algebraic geometry A note on purely inseparable morphisms from an elliptic ruled surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves triangulated categories; weight structures; Voevodsky and Chow motives; Deligne weights; compact objects; \(t\)-structures (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry On Chow weight structures without projectivity and resolution of 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 algebraic cycle; middle Picard number T. Shioda, \textit{Algebraic cycles on a certain hypersurface, in Algebraic Geometry (Tokyo/Kyoto, 1982)}, Lecture Notes in Mathematics \textbf{1016}, Springer-Verlag, Berlin, 1983, pp. 271-294. Picard groups, Classical real and complex (co)homology in algebraic geometry, Special surfaces, Divisors, linear systems, invertible sheaves Algebraic cycles on a certain hypersurface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Chow groups; motives; Voisin conjecture; complete intersections of quadrics (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; partitions; torsion points Elliptic curves, Elementary theory of partitions Partitions with equal products and elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves linear system; Chow variety Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves On Chow varieties of linear systems of divisors on a projective variety
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number of irreducible components of the moduli space; moduli space of the surfaces of general type; Hilbert varieties; Chow varieties F. Catanese, Chow varieties, Hilbert schemes, and moduli spaces of surfaces of general type,J. Algebraic Geom. 1 (1992), 561--595. Algebraic moduli problems, moduli of vector bundles, Surfaces of general type, Parametrization (Chow and Hilbert schemes) Chow varieties, Hilbert schemes, and moduli spaces of surfaces of general type
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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 indecomposable projective modules; Chow group; Grothendieck group; divisor class group of a normal projective variety Picard groups, Projective and free modules and ideals in commutative rings, Parametrization (Chow and Hilbert schemes), Grothendieck groups, \(K\)-theory and commutative rings Indecomposable projective modules on affine domains. II
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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 indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) Finite-dimensional division rings, Brauer groups (algebraic aspects), Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings.
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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 Springer resolution; perverse sheaves on affine flag variety Bezrukavnikov, R.; Lin, Q., Highest weight modules at the critical level and noncommutative Springer resolution, Contemp. Math., 565, 15-27, (2012) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Geometric Langlands program: representation-theoretic aspects, Geometric Langlands program (algebro-geometric aspects), Quantum groups (quantized function algebras) and their representations Higher weight modules at the critical level and noncommutative Springer resolution
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 stacks; Chow rings; stack of rational curves [Ed-Fu1] D. Edidin and D. Fulghesu, The integral Chow ring of the stack of at most 1-nodal rational curves, Comm. Algebra 36 (2008), no. 2, 581--594. (Equivariant) Chow groups and rings; motives, Generalizations (algebraic spaces, stacks), Equivariant homology and cohomology in algebraic topology The integral Chow ring of the stack of at most 1-nodal 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 Chow group; algebraic cycles; rational equivalence; cycle map; Abel- Jacobi map; intermediate Jacobian T. Shioda, ``Algebraic cycles on hypersurfaces in \(\mathbbP^N \)'' in Algebraic Geometry (Sendai, Japan, 1985) , Adv. Stud. Pure Math. 10 , North-Holland, Amsterdam, 1987, 717--732. Parametrization (Chow and Hilbert schemes), Picard schemes, higher Jacobians, (Equivariant) Chow groups and rings; motives Algebraic cycles on hypersurfaces in \({\mathbb{P}}^ N\)
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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 effective cone; symmetric product of a curve; diagonal Algebraic cycles, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves Effective cycles on the symmetric product of a curve. I: The diagonal cone
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 motives; abelian scheme; endomorphisms B. Moonen, On the Chow motive of an abelian scheme with non-trivial endomorphisms, J. reine angew. Math. (2014), 10.1515/crelle-2013-0115. (Equivariant) Chow groups and rings; motives, Subvarieties of abelian varieties On the Chow motive of an abelian scheme with non-trivial endomorphisms
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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 higher zero-cycles; restriction map; \(n\)-torsion Algebraic cycles On a base change conjecture for higher zero-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 Milnor \(K\)-groups; Chow groups; products of curves; \(p\)-adic field Raskind, Wayne; Spiess, Michael, Milnor \textit{K}-groups and zero-cycles on products of curves over \textit{p}-adic fields, Compos. Math., 121, 1, 1-33, (2000), MR 1753108 (2002b:14007) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Local ground fields in algebraic geometry, (Equivariant) Chow groups and rings; motives, Polylogarithms and relations with \(K\)-theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Milnor \(K\)-groups and zero-cycles on products of curves over \(p\)-adic 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 derived categories; semiorthogonal indecomposability Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories, triangulated categories A note on semiorthogonal indecomposability of some Cohen-Macaulay 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 Kerr, M.: A survey of transcendental methods in the study of Chow groups of zero-cycles. In: Mirror Symmetry V. AMS/IP Stud. Adv. Math., vol. 38, pp. 295--349. Am. Math. Soc., Providence, RI (2006) (Equivariant) Chow groups and rings; motives, Variation of Hodge structures (algebro-geometric aspects), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects) A survey of transcendental methods in the study of Chow groups of zero-cycles
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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 geometric Galois representations; Tate conjecture; Fontaine-Mazur conjecture Galois representations, Varieties over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations Irreducibility of geometric Galois representations and the Tate conjecture for a family 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 algebraic cycles; Chow groups; motives; finite-dimensional motives; surfaces Laterveer, R.: Algebraic cycles and Todorov surfaces. Preprint. arXiv:1609.09629\textbf{(to appear inKyoto Journal of Mathematics)} (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on surfaces with \(p_g = 1\) and \(q = 2\)
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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 second symmetric product of a curve; Nagata type problem; Néron-Severi group; cone of the effective divisors; degeneration Ciliberto C., Kouvidakis A.: On the symmetric product of a curve with general moduli. Geom. Dedicata 78(3), 327--343 (1999) Special divisors on curves (gonality, Brill-Noether theory), Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) On the symmetric product of a curve with general moduli
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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 equivariant Chow groups; Barsotti-Tate groups; displays; \(G\)-zips (Equivariant) Chow groups and rings; motives, Generalizations (algebraic spaces, stacks), Stacks and moduli problems On the Chow ring of the stack of truncated Barsotti-Tate 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 normal forms; supernormal mappings; polynomially normal mappings; normal mappings; unitary groups; orthogonal groups; symplectic groups; classical groups; adjoint mappings; self-adjoint mappings; Hermitian sesquilinear form Hermitian, skew-Hermitian, and related matrices, Linear algebraic groups over arbitrary fields, Classical groups (algebro-geometric aspects), Quadratic and bilinear forms, inner products, Factorization of matrices, Linear transformations, semilinear transformations Supernormal mappings. I: Orthogonally indecomposable modules and applications
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves mixed Hodge modules; mixed Hodge complexes Ivorra, F., \textit{mixed Hodge complexes and higher extensions of mixed Hodge modules on algebraic varieties}, Rend. Semin. Mat. Univ. Padova, 133, 11-77, (2015) Variation of Hodge structures (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Motivic cohomology; motivic homotopy theory Mixed Hodge complexes and higher extensions of mixed Hodge modules on algebraic 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; Hilbert modular forms; Hodge conjecture; Hecke operators Blasius, D; Hida, H (ed.); Ramakrishnan, D (ed.); Shahidi, F (ed.), Elliptic curves, Hilbert modular forms, and the Hodge conjecture, 83-103, (2004), Baltimore Elliptic curves over global fields, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects) Elliptic curves, Hilbert modular forms, and the Hodge conjecture
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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 (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Surfaces of general type Chow groups of conic bundles in \(\mathbb{P}^5\) and the generalised Bloch's conjecture
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cohomological crepant resolution conjecture; Hilbert scheme of point; Symmetric product; Gromov-Witten invariants W K Cheong, Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (algebraic) Strengthening the cohomological crepant resolution conjecture for Hilbert-Chow morphisms
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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 topological strings; F-theory String and superstring theories in gravitational theory, Topological field theories in quantum mechanics, Applications of differential geometry to physics, Calabi-Yau manifolds (algebro-geometric aspects) Computing the elliptic genus of higher rank E-strings from genus 0 GW 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 Picard modular surfaces; abelian varieties; Chow motives; Higgs bundles Miller, A., Müller-Stach, S., Wortmann, S., Yang, Y.H., Zuo, K. Chow-Künneth decomposition for universal families over Picard modular surfaces, Motives and Algebraic cycles I and II (eds. J. Nagel and Ch. Peters), London Math. Society Lecture Notes 343/344, Cambridge (2007). Algebraic cycles, Modular and Shimura varieties Chow-Künneth decomposition for universal families over Picard modular surfaces
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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 simplicial fan; Todd class; toric variety; Chow group Pommersheim, Products of cycles and the Todd class of a toric variety, J. Amer. Math. Soc. 9 (3) pp 813-- (1996) Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic cycles, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Bernoulli and Euler numbers and polynomials, Rational and birational maps Products of cycles and the Todd class of a toric variety
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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 abelian variety; polarization; hermitian form; class number Lange, H.: Principal polarizations on products of elliptic curves. In: The Geometry of Riemann Surfaces and Abelian Varieties. Contemp. Math., vol. 397. AMS, Providence, pp. 153-162 (2006) Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\), Bilinear and Hermitian forms Principal polarizations on products 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 algebraic \(K\)-theory; algebraic cycles; intersection theory; Chow ring; Deligne-Beilinson cohomology; Hodge conjecture; de Rham cohomology; motives Murre, J.P.: Algebraic cycles and algebraic aspects of cohomology and k-theory, In: Albano, A., Bardelli, F. (eds.) Algebraic Cycles and Hodge Theory, Lecture Notes in Mathematics, vol. 1594, pp. 93-152 (1994) Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Étale and other Grothendieck topologies and (co)homologies Algebraic cycles and algebraic aspects of cohomology and \(K\)-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 Chow groups; Kato conjectures; class field theory; local to global (Equivariant) Chow groups and rings; motives, Class field theory A local to global principle for higher zero-cycles
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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 Chow group; Kummer surface; clean; pencil; cubic curve; zero-cycle (Equivariant) Chow groups and rings; motives, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields Rational equivalences on products of elliptic curves in a family
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 of modular curve; number of isogeny classes of elliptic curves; quotients of the Jacobian Jacobians, Prym varieties, Isogeny, Elliptic curves, Elliptic curves over local fields, Local ground fields in algebraic geometry On modular 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 Kimura, S.: Surjectivity of the cycle map for Chow motives. In: Motives and algebraic cycles, Fields Institute Comm. vol. 56. Am. Math. Soc. Provid. (2009) (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects) Surjectivity of the cycle map for Chow motives
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 connectivity; variation of Hodge structure; Chow group; Hodge filtration M. Nori, Algebraic cycles and Hodge theoretic connectivity, Invent. Math. 111 (1993), 349-373. Zbl0822.14008 MR1198814 Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects) Algebraic cycles and Hodge theoretic connectivity
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Toric varieties, Newton polyhedra, Okounkov bodies, Relations of \(K\)-theory with cohomology theories The Chow cohomology of affine toric 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 Châtelet; Chow; local fields Local ground fields in algebraic geometry, Finite ground fields in algebraic geometry, Rational and ruled surfaces, Algebraic number theory: local fields Chow groups of châtelet surfaces over dyadic 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 elliptic modular function fields Algebraic functions and function fields in algebraic geometry, Modular and automorphic functions Ramification in elliptic modular function 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 (Equivariant) Chow groups and rings; motives, \(K3\) surfaces and Enriques surfaces Explicit Chow-Lefschetz decompositions for Kummer manifolds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; zero-cycles; p-adic varieties Colliot-Thélène, Jean-Louis; Saito, S.; Sato, K.; etal., Groupe de Chow des zéro-cycles sur LES variétés \textit{p}-adiques, Astérisque, 339, (2011), vii, 1-30, Séminaire Bourbaki 2009/2010, 1012-1026, MR 2906348 (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry Chow group of zero-cycles on \(p\)-adic varieties (after S. Saito, K. Sato et al.)
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