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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 unramifed cover; quaternion algebra; Shimura variety; arithmetic group Coverings of curves, fundamental group, Other algebraic groups (geometric aspects), Modular and Shimura varieties, Structure of modular groups and generalizations; arithmetic groups, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Quadratic forms over global rings and fields Co-fibered products of 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 Lubin-Tate tower; local Langlands correspondence modulo \(\ell\); Lefschetz operator Dat, J-F, Lefschetz operator and local Langlands mod \(\mathcall \): the regular case, Nagoya Math. J., 208, 1-38, (2012) Langlands-Weil conjectures, nonabelian class field theory, Representation-theoretic methods; automorphic representations over local and global fields, Modular and Shimura varieties Lefschetz operator and local Langlands mod \(\ell\): the regular case | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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.-L. \textsc{Colliot-Thélène}, Un théorème de finitude pour le groupe de Chow des zéro-cycles d'un groupe algébrique linéaire sur un corps \(p\)-adique, \textit{Invent. Math.}, \textbf{159} (2005), 589-606. (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry, Linear algebraic groups over local fields and their integers A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic 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 Serre, J.-P.: Galois Cohomology. Springer, Berlin (1997) \textbf{(translated from the French by Patrick Ion and revised by the author)} Algebraic theory of quadratic forms; Witt groups and rings, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology of linear algebraic groups The Arason invariant and mod 2 algebraic 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 Massey products; Deligne cohomology; Čech resolutions; differential forms; elliptic curve; Beilinson conjectures C. Deninger, ''Higher order operations in Deligne cohomology,''Invent. Math.,122, No. 1, 289--316 (1995). Massey products, (Co)homology theory in algebraic geometry, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Higher order operations in Deligne 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 value of L-series of elliptic curve; Deligne cohomology; Massey higher products; de Rham cohomology; dilogarithm \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry, Secondary and higher cohomology operations in algebraic topology, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Higher order operations in Deligne 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 modular curves; maximal prime level subgroups; non-split Cartan; semistable models Arithmetic aspects of modular and Shimura varieties, Curves over finite and local fields, Modular and Shimura varieties Semistable reduction of modular curves associated with maximal subgroups in prime 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 Severe-Brauer scheme; gamma filtration; Chow group Baek S., On the torsion of Chow groups of Severi-Brauer varieties, preprint available at http://arxiv.org/abs/1206.2704 (Equivariant) Chow groups and rings; motives, \(K\)-theory of schemes On the torsion of Chow groups of Severi-Brauer varieties | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic curve; moduli space; Hurwitz space; monodromy; dihedral covers Catanese, F.; Lönne, M.; Perroni, F., The irreducible components of the moduli space of dihedral covers of algebraic curves, Groups Geom. Dyn., 9, 4, 1185-1229, (2015) Automorphisms of curves, Coverings of curves, fundamental group, Families, moduli of curves (analytic), Low-dimensional topology of special (e.g., branched) coverings, Group actions on manifolds and cell complexes in low dimensions, Connections of group theory with homological algebra and category theory The irreducible components of the moduli space of dihedral covers of 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 Harnack-Thom theorem; Lawson homology; Picard varieties Jyh-Haur Teh, Harnack-Thom theorem for higher cycle groups and Picard varieties, Trans. Amer. Math. Soc. 360 (2008), no. 6, 3263 -- 3285. Algebraic cycles, Topology of real algebraic varieties, Homotopy groups of special spaces, Other homology theories in algebraic topology, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Harnack-Thom theorem for higher cycle groups and Picard 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 abelian variety; Mumford-Tate group; ring of Hodge cycles [9] S. P. White, `` Sporadic cycles on CM abelian varieties {'', \(Compositio Math.\)88 (1993), no. 2, p. 123-142. Numdam | &MR 12 | &Zbl 0798.} Complex multiplication and abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects) Sporadic cycles on CM 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 Prym variety; conic bundle; motive J. Nagel and M. Saito, Relative Chow-Künneth decompositions for conic bundles and Prym varieties, Int. Math. Res. Not. IMRN 2009, no. 16, 2978--3001. Algebraic cycles Relative Chow-Künneth decompositions for conic bundles and Prym 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 standard conjecture of Lefschetz type; Galois descent; algebraic cycle; Clemens-Schmid sequence Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, \(4\)-folds, Algebraic cycles On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Euler-Chow series; divisors; Cox ring Divisors, linear systems, invertible sheaves, Formal power series rings Zariski's conjecture 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 Chow ring; characteristic classes; reductive algebraic groups; Chern classes D. Edidin and W. Graham, ''Characteristic classes in the Chow ring,'' J. Algebraic Geom., vol. 6, iss. 3, pp. 431-443, 1997. Parametrization (Chow and Hilbert schemes), Characteristic classes and numbers in differential topology, (Equivariant) Chow groups and rings; motives Characteristic classes in the Chow ring | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves secant varieties; Bronowski conjecture; Betti numbers Secant varieties, tensor rank, varieties of sums of powers, Varieties of low degree, Syzygies, resolutions, complexes and commutative rings A matryoshka structure of higher secant varieties and the generalized Bronowski'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 Hilbert scheme; Chow group; Néron-Severi group; space curves Parametrization (Chow and Hilbert schemes), Plane and space curves, (Equivariant) Chow groups and rings; motives The first Chow group of the 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 Beilinson conjecture; Grothendieck's standard conjectures of Lefschetz type; Arakelov Chow groups; filtrations on the arithmetic Chow groups; hard Lefschetz conjecture; regulator maps; cubical height of divisors Künnemann, K. : Arakelov Chow groups of abelian schemes, arithmetic Fourier transform and analogues of the standard conjectures of Lefschetz type . Math. Ann. 300 (1994), 365-392. Arithmetic varieties and schemes; Arakelov theory; heights, Parametrization (Chow and Hilbert schemes), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Arithmetic ground fields for abelian varieties Arakelov Chow groups of abelian schemes, arithmetic Fourier transform, and analogues of the standard conjectures of Lefschetz type | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves coniveau filtration; Chow groups; order of vanishing of L; formula of Birch and Swinnerton-Dyer S. Bloch, Algebraic cycles and values of \textit{L}-functions. II, Duke Math. J. 52 (1985), no. 2, 379-397. (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Algebraic cycles and values of L-functions. 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 modular invariance; tensor product; Virasoro modules; central charge; elliptic curves Virasoro and related algebras, Elliptic curves, Relationship to Lie algebras and finite simple groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular invariant Virasoro modules 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 algebraic cycles; Chow groups; intermediate Jacobians; Albanese map; algebraic surfaces; Bloch conjecture --. --. --. --., Some results on Green's higher Abel-Jacobi map , Ann. of Math. (2) 149 (1999), 451--473. JSTOR: Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Algebraic cycles, Picard schemes, higher Jacobians, Special surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects) Some results on Green's higher Abel-Jacobi map | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves real algebraic sets; algebraic homology classes; algebraic models; Nash algebraic models Kucharz W.: Cycles on Nash algebraic models of smooth manifolds. Proc. Am. Math. Soc. 137, 1899--1906 (2009) Real algebraic sets, Topology of real algebraic varieties, Algebraic topology on manifolds and differential topology Cycles on Nash algebraic models of smooth 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 abelian varieties; Tate classes; finite fields Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Finite ground fields in algebraic geometry Tate classes on self-products of abelian varieties 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 quantum cohomology; Gromov-Witten invariants; symmetric products of algebraic curves; Brill-Noether theory Bertram, A.; Thaddeus, M., On the quantum cohomology of a symmetric product of an algebraic curve, Duke Math. J., 108, 329-362, (2001) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Special divisors on curves (gonality, Brill-Noether theory) On the quantum cohomology of a symmetric product of an algebraic 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 I. Iwanari, Integral Chow rings of toric stacks, Int. Math. Res. Not. 2009 (2009), no. 24, 4709--4725. Toric varieties, Newton polyhedra, Okounkov bodies, (Equivariant) Chow groups and rings; motives, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes Integral Chow rings of toric stacks | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 surface; quotient space; branch curve; divisor class Elliptic surfaces, elliptic or Calabi-Yau fibrations, Divisors, linear systems, invertible sheaves, Modular and Shimura varieties, Group actions on varieties or schemes (quotients), Unimodular groups, congruence subgroups (group-theoretic aspects) On the divisor of involutions in an elliptic modular 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 low energy coupling; heterotic string; Calabi-Yau compactification; curve-counting formulae; intersection numbers Mariño, M.; Moore, G., Counting higher genus curves in a Calabi-Yau manifold, Nucl. Phys., B 543, 592, (1999) 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), Relationships between surfaces, higher-dimensional varieties, and physics, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Families, moduli of curves (analytic) Counting higher genus curves in a Calabi-Yau manifold | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Brauer group; Galois cohomology group; Chow groups S. Bloch, Torsion algebraic cycles, \(K_2\), and Brauer groups of function fields , The Brauer group (Sem., Les Plans-sur-Bex, 1980), Lecture Notes in Math., vol. 844, Springer, Berlin, 1981, pp. 75-102. \(K\)-theory of global fields, \(K_2\) and the Brauer group, Galois cohomology, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Brauer groups of schemes, Grothendieck groups, \(K\)-theory and commutative rings Torsion algebraic cycles, \(K_ 2,\) and Brauer groups of function fields | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Sato-Tate distribution; abelian surfaces; endomorphism algebras; Galois type Fité, Francesc; Kedlaya, Kiran S.; Rotger, Víctor; Sutherland, Andrew V., Sato-Tate distributions and Galois endomorphism modules in genus 2, Compos. Math., 148, 5, 1390-1442, (2012) Relations with random matrices, Abelian varieties of dimension \(> 1\), Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for abelian varieties Sato-Tate distributions and Galois endomorphism modules in genus 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 A. López Martín, M. Teixidor i Bigas, Limit linear series on chains of elliptic curves and tropical divisors on chains of loops. Preprint 2014. Vector bundles on curves and their moduli, Special divisors on curves (gonality, Brill-Noether theory) Limit linear series on chains of elliptic curves and tropical divisors on chains of loops | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Griffiths group; étale cobordism; étale homotopy Quick, Torsion algebraic cycles and étale cobordism, Adv. Math. 227 pp 962-- (2011) Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Bordism and cobordism theories and formal group laws in algebraic topology Torsion algebraic cycles and étale cobordism | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow rings; abelian covers; rational cohomology tori (Equivariant) Chow groups and rings; motives, Topological properties in algebraic geometry On the Chow ring of certain rational cohomology tori | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow ring; moduli; bundles (Equivariant) Chow groups and rings; motives, Homology of classifying spaces and characteristic classes in algebraic topology The Chow ring of the moduli space of bundles on \(\mathbb P^2\) with charge 1 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves M. Kerr, Cup products in automorphic cohomology: the case of \mathrm {Sp}_4, preprint 2013, available at http://www.math.wustl.edu/\sim matkerr/. Homogeneous spaces and generalizations, Representations of Lie and linear algebraic groups over real fields: analytic methods, Semisimple Lie groups and their representations, Homogeneous complex manifolds, Period matrices, variation of Hodge structure; degenerations Cup products in automorphic cohomology: the case of \({Sp}_4\) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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, Hypersurfaces and algebraic geometry The Chow ring of a cubic 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 Griffiths group; codimension two cycles; Calabi-Yau 3-folds; Noether- Lefschetz locus; Abel-Jacobi invariants Bardelli, F.; Müller-Stach, S.: Algebraic cycles on certain Calabi-Yau threefolds. Math. Z. 215, 569-582 (1994) \(3\)-folds, Algebraic cycles Algebraic cycles on certain Calabi-Yau threefolds | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(K_ 2\); group of 0-cycles; rational surface Murthy, M.P., Roy, A.: Torsion inK 2 of fields and 0-cycles on rational surfaces. Comment. Math. Hely.59, 165-186 (1984) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles, Rational and unirational varieties, Parametrization (Chow and Hilbert schemes), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Torsion in \(K_ 2\) of fields and 0-cycles on 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 universal elliptic curve over an Igusa curve; Birch and Swinnerton-Dyer conjecture Ulmer, D.L., On universal elliptic curves over igusa curves, Invent. Math., 99, 377-391, (1990) Global ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Arithmetic ground fields for curves On universal elliptic curves over Igusa 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 birational motive; Jacobian variety; hyperkähler variety; cubic threefold; cubic fourfold (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Algebraic cycles, Jacobians, Prym varieties, \(K3\) surfaces and Enriques surfaces Birational Chow-Künneth decompositions | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; modular graph functions; Arakelov-Green function; Kawazumi-Zhang invariant Relationships between algebraic curves and physics, Planar graphs; geometric and topological aspects of graph theory, Teichmüller theory for Riemann surfaces, Arithmetic varieties and schemes; Arakelov theory; heights Higher genus modular graph functions, string invariants, and their exact asymptotics | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Chow schemes Elizondo, E. J.; Kimura, S.: Irrationality of motivic series of Chow varieties. Math. Z. 263, 27-32 (2009) (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Algebraic cycles Irrationality of motivic series of 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 \(K3\) surfaces; Chow ring; Beauville-Voisin's zero-cycle; deformation of morphisms; singularities. \(K3\) surfaces and Enriques surfaces Singularities of elliptic curves in \(K3\) surfaces and the Beauville-Voisin zero-cycle | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 motive; cusp form; admissible cover; twisted curve; level structure Petersen, Dan: Cusp form motives and admissible G-covers. Algebra number theory 6, No. 6, 1199-1221 (2012) Stacks and moduli problems, Arithmetic aspects of modular and Shimura varieties, Families, moduli of curves (algebraic) Cusp form motives and admissible \(G\)-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 Leech lattice; elliptic surface Automorphism groups of lattices, Elliptic curves over global fields, Elliptic curves A note on the elliptic curves of Harada-Lang | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; currents, Chow transform Méo, M., Chow forms and Hodge cohomology classes, C. R. Acad. Sci. Paris, Ser. I, 352, 339-343, (2014) Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Currents in global analysis Chow forms and Hodge 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 variations of mixed Hodge structure; Hodge realization of the motivic cohomology; mixed Tate motives; motivic cohomology Richard M. Hain, Algebraic cycles and extensions of variations of mixed Hodge structure, Complex geometry and Lie theory (Sundance, UT, 1989) Proc. Sympos. Pure Math., vol. 53, Amer. Math. Soc., Providence, RI, 1991, pp. 175 -- 221. Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Generalizations (algebraic spaces, stacks), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Relations of \(K\)-theory with cohomology theories Algebraic cycles and extensions of variations of mixed Hodge structure | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves embedding of abelian surface; four-dimensional product of projective spaces; surfaces in 4-dimensional spaces K. Hulek. Abelian Surfaces in Products of Projective Spaces. In:Algebraic Geometry L'Aquila. Lect. Notes in Math.1417, 1988. Projective techniques in algebraic geometry, Special surfaces, Embeddings in algebraic geometry, Algebraic theory of abelian varieties Abelian surfaces in products of projective 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 Gauss map; osculating space; Darboux frame; fundamental form De Poi, P.; Ilardi, G., On higher Gauss maps, J. Pure Appl. Algebra, 219, 11, 5137-5148, (2015) Projective differential geometry, Classical problems, Schubert calculus, Questions of classical algebraic geometry, Local differential geometry On higher Gauss 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 Jacobians, Prym varieties, Elliptic curves, Coverings of curves, fundamental group, Infinitesimal methods in algebraic geometry Covering of elliptic curves and the kernel of the Prym map | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(K3\) surface; moduli; height; Artin invariant Ekedahl, T., van der Geer, G.: Cycle Classes on the moduli of K3 surfaces in positive characteristic. arXiv:1104.3024 (2011) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic) Cycle classes on the moduli of \(K3\) surfaces in positive characteristic | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves étale homotopy; higher categories; stacks; topos theory Homotopy theory and fundamental groups in algebraic geometry, Generalizations (algebraic spaces, stacks), Homology with local coefficients, equivariant cohomology, Topoi On the étale homotopy type of higher stacks | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves unirationality; supersingular surface; Mordell-Weil group; extremal elliptic surfaces; supersingular K3 surfaces; inseparable base change Hiroyuki Ito, On unirationality of extremal elliptic surfaces, Math. Ann. 310 (1998), no. 4, 717 -- 733. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational varieties, Finite ground fields in algebraic geometry On unirationality of extremal 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 Modular curves; Galois representations; uniformity conjecture Baran, Burcu, An exceptional isomorphism between level 13 modular curves via Torelli's theorem, Math. Res. Lett., 21, 5, 919-936, (2014) Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Global ground fields in algebraic geometry, Jacobians, Prym varieties An exceptional isomorphism between level 13 modular curves via Torelli's theorem | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 independence; periods; quasi-periods; Drinfeld module; gamma function Alain Thiery , Indépendance algébrique des périodes et quasi-périodes d'un module de Drinfeld , The arithmetic of function fields. Proceedings of the workshop at the Ohio State University, Ohio State University Mathematical Research Institute Publications 2, Walter de Gruyter, 1992, p. 265-284 Drinfel'd modules; higher-dimensional motives, etc., Algebraic independence; Gel'fond's method, Finite ground fields in algebraic geometry, Arithmetic theory of polynomial rings over finite fields Algebraic independence of periods and quasi-periods of a Drinfeld module | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves K. Kedlaya, Effective \(\(p\)\)-adic cohomology for cyclic cubic threefolds, in \(Computational Algebraic and Analytic Geometry\), Contemporary Mathematics, vol. 572 (American Mathematical Society, Providence, 2012), pp. 127-171 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(p\)-adic cohomology, crystalline cohomology, Finite ground fields in algebraic geometry Effective \(p\)-adic cohomology for cyclic cubic threefolds | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 mappings of algebraic curves; theorem of De Franchis; Mordell's conjecture over functions fields Algebraic functions and function fields in algebraic geometry, Rational and birational maps, Picard-type theorems and generalizations for several complex variables, Enumerative problems (combinatorial problems) in algebraic geometry, Global ground fields in algebraic geometry A higher dimensional analogue of Mordell's conjecture over function fields and related problems | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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), Elliptic curves, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations Arithmetic of the moduli of semistable 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 abelian varieties; complex multiplication; Tate cycles V. K. Murty and V. M. Patankar, Tate cycles on Abelian varieties with complex multiplication, Canad. J. Math. 67 (2015), no. 1, 198-213. Complex multiplication and moduli of abelian varieties, Abelian varieties of dimension \(> 1\), Complex multiplication and abelian varieties Tate cycles on abelian varieties with complex multiplication | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hitchin fibrations; non-abelian Hodge theory; algebraic surfaces; commuting schemes; Hilbert scheme of points Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Vector bundles on surfaces and higher-dimensional varieties, and their moduli On the Hitchin morphism for higher-dimensional 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 Jacobian variety; algebraic cycle; harmonic volume Tadokoro Y.: A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic. Math. Z. 260(2), 265--275 (2008) Jacobians, Prym varieties, Coverings of curves, fundamental group, Differentials on Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Algebraic cycles A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Weyl group; semisimple algebraic group; enveloping algebra; flag variety; characteristic variety; highest weight module; primitive ideal Toshiyuki Tanisaki, Characteristic varieties of highest weight modules and primitive quotients, Representations of Lie groups, Kyoto, Hiroshima, 1986, Adv. Stud. Pure Math., vol. 14, Academic Press, Boston, MA, 1988, pp. 1 -- 30. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras, Representation theory for linear algebraic groups, Group varieties Characteristic varieties of highest weight modules and primitive 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 Griffiths groups; algebraic cycles; abelian varieties Algebraic cycles, Results involving abelian varieties, Jacobians, Prym varieties Algebraic cycles on the generic abelian fourfold with polarization of type (1,2,2,2) | 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 secant varieties; Veronese embeddings; catalecticant matrices Buczyńska, W.; Buczyński, J., Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes, J. Algebraic Geom., 23, 63-90, (2014) Projective techniques in algebraic geometry, Determinantal varieties Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein 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 Brauer groups of schemes, Elliptic curves over global fields, \(K3\) surfaces and Enriques surfaces, Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\) Corrigendum: ``Abelian \(n\)-division fields of elliptic curves and Brauer groups of product Kummer \& abelian 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 elliptic curve; finite field; group structure Banks, W. D.; Pappalardi, F.; Shparlinski, I. E., On group structures realized by elliptic curves over arbitrary finite fields, Exp. Math., 21, 1, 11-25, (2012) Curves over finite and local fields, Finite ground fields in algebraic geometry, Elliptic curves On group structures realized by elliptic curves over arbitrary 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 Kummer surface; Mordell-Weil lattice Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Elliptic curves over global fields Elliptic \(K3\) surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Calabi-Yau threefold; fibration; lattice polarization; mirror quartic Doran, Charles F. and Harder, Andrew and Novoseltsev, Andrey Y. and Thompson, Alan, Calabi--{Y}au threefolds fibred by {K}ummer surfaces associated to products of elliptic curves, String-{M}ath 2014, Proc. Sympos. Pure Math., 93, 263-287, (2016), Amer. Math. Soc., Providence, RI Fibrations, degenerations in algebraic geometry, \(K3\) surfaces and Enriques surfaces, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects) Calabi-Yau threefolds fibred by Kummer surfaces associated to products 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 Gorenstein ring; canonical modules of S-varieties; quasihomogeneous affine varieties; regular functions; Poincaré series; sheaf of differential forms D. I. Panyushev, ''The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties,''Mat. Sb.,137, No. 1, 76--89 (1988). Homogeneous spaces and generalizations, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Construction of the canonical module and the Gorenstein property for some quasihomogeneous 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 linear projection; Chow-form Parametrization (Chow and Hilbert schemes), Projective techniques in algebraic geometry On the behaviours of Chow-forms under a linear projection | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 form; Galois representation; Jacobian; \(p\)-adic; moduli; algorithm Galois representations, Algebraic number theory computations, Jacobians, Prym varieties, Local ground fields in algebraic geometry, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Holomorphic modular forms of integral weight Moduli-friendly Eisenstein series over the \(p\)-adics and the computation of modular Galois representations | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curve; automorphisms of curves Elliptic curves over global fields, Arithmetic ground fields for curves, Automorphisms of curves Open conditions for infinite multiplicity eigenvalues 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 elliptic curve; discrete logarithm; index calculus; Weil descent; decomposition attack Joux A., Vitse V.: Cover and decomposition index calculus on elliptic curves made practical: application to a previously unreachable curve over \({\mathcal{F}}_{q}^{6}\). In: Advances in Cryptology--EUROCRYPT 2012. Lecture Notes in Computer Science, vol. 7237, pp. 9-26. Springer, Berlin (2012). Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry Cover and decomposition index calculus on elliptic curves made practical. Application to a previously unreachable curve over \(\mathbb{F}_{p^6}\) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Group actions on varieties or schemes (quotients), Parametrization (Chow and Hilbert schemes) Chow points of \({\mathbb{C}}\)-orbits | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; abelian variety; cryptography; pairings Silverman, J.: The arithmetic of elliptic curves, (2010) Applications to coding theory and cryptography of arithmetic geometry, Cryptography A survey of local and global pairings on elliptic curves and abelian varieties | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli space; symmetric power of a curve; Jacobian of line bundles; Brill-Noether loci; theta divisors \beginbarticle \bauthor\binitsL. \bsnmTu, \batitleSemistable bundles over an elliptic curve, \bjtitleAdv. Math. \bvolume98 (\byear1993), page 1-\blpage26. \endbarticle \OrigBibText L. Tu, Semistable bundles over an elliptic curve , Adv. Math. 98 (1993), 1-26. \endOrigBibText \bptokstructpyb \endbibitem Elliptic curves, Families, moduli of curves (algebraic), Vector bundles on curves and their moduli Semistable 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 zero-cycles; K-theory; Chow group; rational surface with conic bundle structure P. Salberger, ''Zero-cycles on rational surfaces over number fields,'' Invent. math., vol. 91, iss. 3, pp. 505-524, 1988. Algebraic cycles, Rational and unirational varieties, Applications of methods of algebraic \(K\)-theory in algebraic geometry Zero-cycles on rational surfaces 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 dynamical systems; moduli space of polynomials; moduli space of maps; cubic polynomials; periodic points, holomorphic dynamics Arithmetic properties of periodic points, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Families and moduli spaces in arithmetic and non-Archimedean dynamical systems, Arithmetic varieties and schemes; Arakelov theory; heights Cubic polynomials with periodic cycles of a specified multiplier | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves surfaces of general type; fundamental group of surfaces; quotients of products of curves; product-quotient surfaces Bauer, I.; Catanese, F.; Grunewald, F.; Pignatelli, R., Quotients of products of curves, new surfaces with \(p_g = 0\) and their fundamental groups, Amer. J. Math., 134, 4, 993-1049, (2012) Surfaces of general type Quotients of products of curves, new surfaces with \(p_{g} = 0\) and their fundamental groups | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 in higher dimensional varieties; genus Plane and space curves On genera of smooth curves in higher dimensional 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 finite fields; multiplicative group; elliptic curves [26] J. F. Voloch, \(Elements of high order on finite fields from elliptic curves\), Bull. Aust. Math. Soc., 81, (2010), 425-429. &MR 26 | &Zbl 1221. Curves over finite and local fields, Polynomials over finite fields, Finite ground fields in algebraic geometry Elements of high order on finite fields from 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 A.\ B. Givental, Semisimple Frobenius structures at higher genus, Int. Math. Res. Not. IMRN 2001 (2001), no. 23, 1265-1286. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds Semisimple Frobenius structures at higher 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 rational map; Hodge theory; deformation theory; surfaces of genral type Rational and birational maps, Families, moduli of curves (algebraic), Surfaces of general type On rational maps from the product of two general 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 singular modulus; complex multiplication; André-Oort conjecture Complex multiplication and moduli of abelian varieties, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Triples of singular moduli with rational product | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves real points; Chow group; spectral sequence; cycle map J.-L. Colliot-Thélène and C. Scheiderer, Zero-cycles and cohomology on real algebraic varieties, Topology 35 (1996), no. 2, 533 -- 559 (English, with English and French summaries). Topology of real algebraic varieties, Classical real and complex (co)homology in algebraic geometry, (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes) Zero-cycles and cohomology on real 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 functions; algebraic independence; small transcendence degrees; zero estimates on group varieties R. Tubbs, Elliptic curves in two dimensional abelian varieties and the algebraic independence of certain numbers, Mich. Math. J., in press. Algebraic independence; Gel'fond's method, Elliptic curves, Transcendence (general theory), Algebraic groups Elliptic curves in two-dimensional abelian varieties and the algebraic independence of certain numbers | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves construction of cusp forms of weight 1 and type \(S_ 4\); algorithm due to Birch and Swinnerton-Dyer; Galois representations; octahedral type; 2- coverings of elliptic curves; Artin L-series Bayer P., Math. Z. 207 pp 395-- (1991) Elliptic curves over global fields, Representation-theoretic methods; automorphic representations over local and global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Coverings of curves, fundamental group Galois representations of octahedral type and 2-coverings of elliptic curves | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; motives; homogeneous spaces Iyer, J, Murre's conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent bundle, Trans. Am. Math. Soc., 361, 1667-1681, (2008) 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) Murre's conjectures and explicit Chow-Künneth projectors for varieties with a nef tangent 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 abelian varieties; p-divisible groups; canonical subgroups; automorphic forms; tropical geometry J. Rabinoff, ''Higher-level canonical subgroups for \(p\)-divisible groups,'' J. Inst. Math. Jussieu, vol. 11, iss. 2, pp. 363-419, 2012. Formal groups, \(p\)-divisible groups, Abelian varieties of dimension \(> 1\) Higher-level canonical subgroups for \(p\)-divisible 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 cycles; diagonal cycle; triple product \(L\)-function; complex Abel-Jacobi map Arithmetic aspects of modular and Shimura varieties, Holomorphic modular forms of integral weight, Algebraic cycles Torsion properties of modified diagonal classes on triple products of modular curves | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow ring; motives; Beauville `splitting property' (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A remark on the Chow ring of Küchle fourfolds of type \(d3\) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Equivariant algebraic topology of manifolds On a Morelli type expression of cohomology classes of torus orbifolds | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Poonen, J. Théor. Nombres Bordeaux 13 pp 263-- (2001) Elliptic curves over global fields, Global ground fields in algebraic geometry, Elliptic curves An explicit algebraic family of genus-one curves violating the Hasse principle | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 solutions of \(S\)-unit equations; explicit version of the product theorem; Roth's lemma; approximation of algebraic numbers by rationals; quantitative subspace theorem; number of solutions of norm form equations J.-H. Evertse, An explicit version of Faltings' product theorem and an improvement of Roth's lemma. Acta Arith. 73 (1995), 215-248. Zbl0857.11034 MR1364461 Approximation to algebraic numbers, Abelian varieties of dimension \(> 1\), Algebraic theory of abelian varieties, Multiplicative and norm form equations An explicit version of Faltings' product theorem and an improvement of Roth's lemma | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves dimension of Chow variety; Halphen bound Eisenbud, D.; Harris, J., The dimension of the Chow variety of curves, Compos. Math., 83, 3, 291-310, (1992) Parametrization (Chow and Hilbert schemes), Plane and space curves, Families, moduli of curves (algebraic), Projective techniques in algebraic geometry The dimension of the Chow variety of curves | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; rational point; finite fields H. Esnault, Varieties over a finite field with trivial Chow group of \(\(0\)\)-cycles have a rational point. Invent. Math. 151, 187-191 (2003) Algebraic cycles, \(p\)-adic cohomology, crystalline cohomology, Rational points, Finite ground fields in algebraic geometry Varieties over a finite field with trivial Chow group of 0-cycles have a rational 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 semistable Higgs sheaves; elliptic surfaces; moduli of HIggs sheaves Vector bundles on curves and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Moduli of rank 2 Higgs sheaves on 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 moduli spaces of Higgs bundles; symmetric products of a curve; spectral sequences; Betti numbers; anti-holomorphic involutions Baird, Thomas John, Symmetric products of a real curve and the moduli space of {H}iggs bundles, Journal of Geometry and Physics, 126, 7-21, (2018) Relationships between algebraic curves and integrable systems, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Complex-analytic moduli problems Symmetric products of a real curve and the moduli space of Higgs bundles | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Franzen, H., Chow rings of fine quiver moduli are tautologically presented, Math. Z., 279, 3-4, 1197-1223, (2015) (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Representations of quivers and partially ordered sets Chow rings of fine quiver moduli are tautologically presented | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; \(K3\) surface; moduli of sheaves O'grady, K. G.: Moduli of sheaves and the Chow group of K3 surfaces. J. math. Pures appl. 100, No. 5, 701-718 (2013) \(K3\) surfaces and Enriques surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, (Equivariant) Chow groups and rings; motives Moduli of sheaves and the Chow group of \(K3\) 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 algebraic cycles; Chow groups (Equivariant) Chow groups and rings; motives, Algebraic cycles A short note on the weak Lefschetz property for Chow groups | 0 |
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