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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 parametrization; Artinian algebra; level algebra; Gorenstein algebra; licci; Hilbert scheme; duality; algebra (co)homology; canonical module; normal module Kleppe, J.O., Families of Artinian and one-dimensional algebras, J. algebra, 311, 665-701, (2007) Parametrization (Chow and Hilbert schemes), Commutative Artinian rings and modules, finite-dimensional algebras, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Deformations and infinitesimal methods in commutative ring theory, Linkage, complete intersections and determinantal ideals Families of Artinian and one-dimensional algebras
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Peaucellier representation; classification of plane quadrilaterals Elliptic curves, Geometric constructions in real or complex geometry On the application of elliptic functions to the theory of plane quadrilaterals.
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 field theories; F-theory; gauge symmetry; M-theory M.J. Dolan, J. Marsano, N. Saulina and S. Schäfer-Nameki, \textit{F-theory GUTs with} U\textit{(1) Symmetries: Generalities and Survey}, \textit{Phys. Rev.}\textbf{D 84} (2011) 066008 [arXiv:1102.0290] [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations The arithmetic of elliptic fibrations in gauge theories on a circle
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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, Combinatorial aspects of matroids and geometric lattices, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) Erratum to: ``Equivariant Chow classes of matrix orbit closures''
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 elliptic curves; torsion; group of rational points; non-dyadic elliptic curve Elliptic curves, Brauer groups of schemes The Brauer groups and the torsion of local 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 \(K\)-motives; Chow motives; exceptional collections S.~Gorchinskiy 2017 Integral Chow motives of threefolds with \(K\)-motives of unit type Bull. Korean Math. Soc.54 5 1827--1849 1703.06977 (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry Integral Chow motives of threefolds with \(K\)-motives of unit 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 public key cryptography; discrete logarithm problem; elliptic curves Cryptography, Elliptic curves Adaptation of a cryptosystem based on the arithmetic of finite fields to 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 fog computing; Internet-of-things (IoT); authentication; key management; elliptic curve cryptography (ECC) Internet topics, Authentication, digital signatures and secret sharing, Elliptic curves An ECC-based lightweight remote user authentication and key management scheme for IoT communication in context of fog computing
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mordell conjecture; Rational points; Seminar; Bonn/Germany; Wuppertal/Germany; proof of Tate conjecture; proof of Shafarevich conjecture; proof of the Mordell conjecture; logarithmic singularities; compactification of the moduli space of abelian varieties; modular height of an abelian variety; p-divisible groups; intersection theory on arithmetic surfaces; Riemann- Roch theorem; Hodge index theorem; rational points G. FALTINGS - G. WÜSTHOLZ, Rational points, Aspects of Math., Vieweg, 1986. Zbl0636.14019 MR863887 Arithmetic ground fields for abelian varieties, Rational points, Special algebraic curves and curves of low genus, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Conference proceedings and collections of articles, Elliptic curves Rational points. Seminar Bonn/Wuppertal 1983/84. 2nd ed
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Drinfeld modules over the rational function field; Galois representation; supersingular reductions Poonen, B., Drinfeld modules with no supersingular primes, Int. Math. Res. Not. IMRN, 3, 151-159, (1998) Drinfel'd modules; higher-dimensional motives, etc., Elliptic curves over global fields, Elliptic curves Drinfeld modules with no supersingular primes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Bell, Jason; Ghioca, Dragos; Reichstein, Zinovy, On a dynamical version of a theorem of Rosenlicht, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 17, 1, 187-204, (2017) Rational and birational maps, Parametrization (Chow and Hilbert schemes), Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables On a dynamical version of a theorem of Rosenlicht
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Riemann surfaces; algebraic curves Klein, F.: On the order-seven transformation of elliptic functions,. In: The Eightfold Way, Math. Sci. Res. Inst. Publ. 35, Cambridge Univ. Press, Cambridge, 1999, pp. 287--331 Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences On the order-seven transformation of elliptic functions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Motivic cohomology; motivic homotopy theory, Rigid analytic geometry, (Equivariant) Chow groups and rings; motives, \((\infty,1)\)-categories (quasi-categories, Segal spaces, etc.); \(\infty\)-topoi, stable \(\infty\)-categories The six-functor formalism for rigid analytic 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 motivic cohomology complexes; polylogarithm; higher Chow groups; motives Lichtenbaum, S.: Motivic complexes. In: Motives (Seattle, WA, 1991), pp. 303--313 Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Generalizations (algebraic spaces, stacks), Algebraic cycles, Relations of \(K\)-theory with cohomology theories Motivic complexes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves quadratic form; function field of a quadratic form; \(u\)-invariant; quadratic forms with maximal splitting; torsion of Chow groups of quadrics; unramified cohomology of quadrics Izhboldin, O. T., Fields of \(u\)-invariant 9, Ann. of Math., 154, 529-587, (2001) Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Galois cohomology, (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Fields of \(u\)-invariant \(9\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Drinfeld modules; torsion points; Manin-Mumford conjecture Ghioca, D.; Hsia, L.-C., Torsion points in families of Drinfeld modules, Acta Arith., 161, 219-240, (2013) Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry, Elliptic curves Torsion points in families of Drinfeld modules
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves helix; mutations of simple pairs of bundles; moduli space; indecomposable bundle over an elliptic curve; simple bundles S. A. Kuleshov, ''Construction of bundles on an elliptic curve,''London Math. Soc. Lect. Note Ser., No. 148, 7--22 (1990). Elliptic curves Construction of bundles on 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 Artinian algebras; smoothability; syzygies; deformation theory; punctual Hilbert schemes; Hilbert schemes of points Erman D., Velasco M.: syzygetic approach to the smoothability of 0-schemes of regularity two. Adv. Math. 224(3), 1143--1166 (2010) Parametrization (Chow and Hilbert schemes), Syzygies, resolutions, complexes and commutative rings, Deformations and infinitesimal methods in commutative ring theory, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Commutative Artinian rings and modules, finite-dimensional algebras A syzygetic approach to the smoothability of zero-dimensional 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 S. Gorchinskiy and V. Guletskii, Motives and representability of algebraic cycles on threefolds over a field, J. Algebraic Geom. 21 (2012), no. 2, 347-373. Algebraic cycles, \(3\)-folds, Transcendental methods, Hodge theory (algebro-geometric aspects), Fano varieties Motives and representability of algebraic cycles on threefolds 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 Chow ring; moduli space; stable map; Betti numbers (Equivariant) Chow groups and rings; motives, Fine and coarse moduli spaces, Families, moduli of curves (algebraic) An additive basis for the Chow ring of \(\overline {\mathcal M}_{0,2}(\mathbb P^r,2)\)
| 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 (Equivariant) Chow groups and rings; motives, Higher symbols, Milnor \(K\)-theory On the tangent spaces of Chow groups of certain projective 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 local-global principle; rational points; Weil-Châtelet group; elliptic curves Elliptic curves over global fields, Elliptic curves On the local-global principle for divisibility in the cohomology 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 (Equivariant) Chow groups and rings; motives, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Deformations of stable maps 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 coupled modified Kadomtsev-Petviashvili equations; algebro-geometric solutions; Neumann type systems; integrable nonlinear evolution equations Chen JB. (2012) Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems. J.~Math. Phys. 53, 073513. KdV equations (Korteweg-de Vries equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry, Elliptic curves, Relationships between algebraic curves and integrable systems Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves tropical plane smooth cubic curve; Jacobian; group law Dehli Vigeland M., The group law on a tropical elliptic curve, preprint 2004, . Jacobians, Prym varieties, Elliptic curves, Semirings The group law on a tropical 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 Lang, S.: Elliptic Functions. Addison-Wesley, Reading (1972) Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry, Elliptic curves over global fields, Elliptic curves Isogenous generic 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 continued fraction expansion; function field of characteristic zero; hyperelliptic curve; Somos sequence A.\ J. van der Poorten, ``Hyperelliptic curves, continued fractions, and Somos sequences'', Dynamics \(\&\) Stochastics, Lecture Notes--Monograph Series, v. 48, ed. Denteneer, Dee and Hollander, Frank den and Verbitskiy, Evgeny, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006, 212--224 Continued fractions, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves Hyperelliptic curves, continued fractions, and Somos sequences
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Taniyama's conjecture; Fermat's last theorem Elliptic curves over global fields, Higher degree equations; Fermat's equation, Elliptic curves Wiles proves Taniyama's conjecture; Fermat's last theorem follows. (Translated by Jan Nekovář)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves exceptional fiber; blowing-up of an equimultiple family of punctual ideals; multiplicities Henaut A., Ann. Inst. Fourier Grenoble 37 pp 143-- (1987) Global theory and resolution of singularities (algebro-geometric aspects), Algebraic cycles, Local complex singularities, Singularities in algebraic geometry Cycle exceptionnel de l'éclatement d'un idéal définissant l'origine de \({\mathbb C}^ n\) et applications. (Exceptional cycle of the blowing-up of an ideal defining the origin of \({\mathbb C}^ n\) 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 locally planar curves; Hilbert scheme; compactified Jacobian; Weyl algebra Parametrization (Chow and Hilbert schemes), Jacobians, Prym varieties, Singularities of curves, local rings Homology of Hilbert schemes of points on a locally planar 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 integral right triangle; rhombus pairs; area; perimeter; elliptic curves Chern, S.: Integral right triangle and rhombus pairs with a common area and a common perimeter. Forum geom. 16, 25-27 (2016) Euclidean geometries (general) and generalizations, Elliptic curves, Length, area and volume in real or complex geometry Integral right triangle and rhombus pairs with a common area and a common perimeter
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mumford's fake plane; surfaces of general type; minimal elliptic surface; Bloch conjecture Barlow R.N.: Zero-Cycles on Mumford's Surface, vol. 126, pp. 505--510. Math. Proc. Camb. Phil. Soc, Cambridge (1999) Surfaces of general type, Algebraic cycles, Families, moduli, classification: algebraic theory, Special surfaces, Representations of finite groups of Lie type Zero-cycles on Mumford's 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 Chern class; affine three-folds; projective module over a smooth affine ring Projective and free modules and ideals in commutative rings, Divisors, linear systems, invertible sheaves, Characteristic classes and numbers in differential topology, Algebraic cycles Algebraic cycles and vector bundles over affine 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 triviality of Abel-Jacobi map; Noether-Lefschetz locus; codimension one subvarieties; algebraic 1-cycles; intermediate Jacobian Green, M.: Griffiths' infinitesimal invariant and the Abel-Jacobi map. J. Differ. Geom. 29, 545--555 (1989) Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians, Surfaces and higher-dimensional varieties, (Equivariant) Chow groups and rings; motives, Structure of families (Picard-Lefschetz, monodromy, etc.) Griffiths' infinitesimal invariant and the 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 elliptic curve; group law; point addition; point doubling; projective coordinates; rational maps; birational equivalence; Riemann-Roch theorem; rational simplification; scalar multiplication; elliptic curve cryptography DOI: 10.1515/jmc.2011.005 Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves An exploration of affine group laws for 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 Hilbert scheme; virtual Hodge polynomials; symmetric product J. Cheah, ''On the Cohomology of Hilbert Schemes of Points,'' J. Algebr. Geom. 5, 479--511 (1996). Parametrization (Chow and Hilbert schemes), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) On the cohomology of Hilbert schemes of points
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves linkage; Hilbert scheme; maximal rank; obstructed curves; liaison; natural cohomology Bolondi, G.; Kleppe, J. O.; Miro-Roig, R. M.: Maximal rank curves and singular points of the Hilbert scheme. Compos. math. 77, 269-291 (1991) Plane and space curves, Linkage, Parametrization (Chow and Hilbert schemes) Maximal rank curves and singular points of the Hilbert scheme
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves virtual classes; (motivic) Donaldson-Thomas invariants; Quot schemes Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes) Virtual classes and virtual motives of Quot schemes on 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 gonality; deformations of space curves; Hilbert scheme; ruled surfaces; Zariski tangent space; Brill-Noether number E. Mezzetti and G. Sacchiero, Gonality and Hilbert schemes of smooth curves, in Algebraic Curves and Projective Geometry, (Trento, 1988), 183--194, Lecture Notes in Math. 1389, Springer, Berlin, 1989. Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes) Gonality and Hilbert schemes of smooth curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Vector bundles on curves and their moduli, Other Dirichlet series and zeta functions Refined Brill-Noether locus and non-abelian zeta functions for 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 ideal complements; ideal projections Ideals, maximal ideals, boundaries, Parametrization (Chow and Hilbert schemes), Ideals and subalgebras, General theory of commutative topological algebras On perturbations of ideal complements
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Elliptic curves Arithmetic structures on noncommutative tori with real 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 Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects) The varieties of intersections of lines and hypersurfaces in 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 toric Hilbert scheme; fan Parametrization (Chow and Hilbert schemes), Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) The fan of the main component of the toric Hilbert scheme
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves normal function; Hermitian symmetric domain; Mumford-Tate group; variation of Hodge structure; algebraic cycle Variation of Hodge structures (algebro-geometric aspects), Algebraic cycles, Homogeneous spaces and generalizations, Lie algebras of linear algebraic groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Period matrices, variation of Hodge structure; degenerations Normal functions over locally symmetric 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 motivic cohomology; triangulated categories; derived categories; \(t\)-structures; \(n\)-motives; perverse sheaves Beilinson, A., Remarks on \textit{n}-motives and correspondences at the generic point, (Motives, Polylogarithms and Hodge Theory, Part I. Motives, Polylogarithms and Hodge Theory, Part I, Irvine, CA, 1998. Motives, Polylogarithms and Hodge Theory, Part I. Motives, Polylogarithms and Hodge Theory, Part I, Irvine, CA, 1998, Int. Press Lect. Ser., vol. 3, (2002), Int. Press: Int. Press Somerville, MA), 35-46 Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), (Equivariant) Chow groups and rings; motives Remarks on \(n\)-motives and correspondences at the generic point
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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 Demazure varieties; multigraded Hilbert schemes; affine Grassmanian Kreidl, M, Demazure resolutions as varieties of lattices with infinitesimal structure, J. Algebra, 324, 541-564, (2010) Parametrization (Chow and Hilbert schemes) Demazure resolutions as varieties of lattices with infinitesimal structure
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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 coset intersection problem; plane cubic curves; coset; abelian group; configuration; projective plane Elliptic curves, Other designs, configurations Coset intersection of irreducible plane cubics
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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 cycles; Tate conjecture; \(K3\) surfaces Picard groups, Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces The Tate conjecture for \(K3\) surfaces -- a survey of some recent progress
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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 form; non-congruent numbers; modular elliptic curve; quadratic twists; Mordell-Weil rank zero; arithmetic progressions; Shimura correspondence Ken Ono, Rank zero quadratic twists of modular elliptic curves, Compositio Math. 104 (1996), no. 3, 293 -- 304. Elliptic curves over global fields, Elliptic curves, Holomorphic modular forms of integral weight, Forms of half-integer weight; nonholomorphic modular forms, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Rank zero quadratic twists of 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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Parametrization (Chow and Hilbert schemes), Group actions on varieties or schemes (quotients), Geometric invariant theory, Representations of quivers and partially ordered sets, Representation type (finite, tame, wild, etc.) of associative algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Proceedings of conferences of miscellaneous specific interest Geometric methods in representation theory. I. Selected papers based on the presentations at the summer school, Grenoble, France, June 16 -- July 4, 2008
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; torsion subgroups; arithmetic statistics Elliptic curves, Elliptic curves over global fields On a probabilistic local-global principle for torsion 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 Charles Vial, Pure motives with representable Chow groups, C. R. Math. Acad. Sci. Paris 348 (2010), no. 21-22, 1191 -- 1195 (English, with English and French summaries). (Equivariant) Chow groups and rings; motives Pure motives with representable Chow 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 Artinian; Gorenstein; local Artinian Gorenstein algebras; Hilbert function Jelisiejew, J.: Classifying Local Artinian Gorenstein Algebras. Collect. Math. \textbf{68}(1), 101-127 (2017) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings of differential operators and their modules, Parametrization (Chow and Hilbert schemes) Classifying local Artinian Gorenstein algebras
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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 variety; \(\mathrm{GL}(V)\)-module; Brill's equations; Brill's map Y. Guan, Brill's equations as a \(G L(V)\)-module, arXiv:1508.02293 (2015). Special varieties, Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes) Brill's equations as a \(\mathrm{GL}(V)\)-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 Hilbert scheme; secant variety Parametrization (Chow and Hilbert schemes), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) VSPs of cubic fourfolds and the Gorenstein locus of the Hilbert scheme of 14 points on \(\mathbb{A}^6\)
| 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 Hodge theory; Fermat hypersurface; variational Hodge conjecture Algebraic cycles, Period matrices, variation of Hodge structure; degenerations, Variation of Hodge structures (algebro-geometric aspects), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Periods of complete intersection 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 Voevodsky's nilpotence conjecture; noncommutative motives; noncommutative algebraic geometry; derived category; cubic fourfolds; Gushel-Mukai fourfolds; noncommutative \(K3\) surfaces Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, \(K3\) surfaces and Enriques surfaces, \(4\)-folds Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) 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 ordinary \(K3\) surface; canonical and quasi-canonical lifting; Hodge conjecture; self product of a \(K3\) surface Algebraic cycles, \(K3\) surfaces and Enriques surfaces Special lifts of ordinary \(K3\) surfaces and applications
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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 Seshadri constant; ample line bundle; abelian surface; elliptic curve Bauer, T; Schulz, C, Seshadri constants on the self-product of an elliptic curve, J. Algebra., 320, 2981-3005, (2008) Elliptic curves, Divisors, linear systems, invertible sheaves, Surfaces and higher-dimensional varieties, Abelian varieties and schemes Seshadri constants on the self-product of an elliptic curve
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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 Bianchi IX gravity model; spectral action; Dirac-Laplacian; heat kernel expansion; periods; motives Noncommutative geometry (à la Connes), (Equivariant) Chow groups and rings; motives, Relativistic cosmology Motives and periods in Bianchi IX gravity models
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 for stable sheaves; Chern classes; cycle map; Chow ring Geir Ellingsrud and Stein Arild Strømme, Towards the Chow ring of the Hilbert scheme of \?², J. Reine Angew. Math. 441 (1993), 33 -- 44. Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles Towards the Chow ring of the Hilbert scheme of \(\mathbb{P}^ 2\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves complete intersection; rational equivalence of cycles (Equivariant) Chow groups and rings; motives, Complete intersections Complete intersections and rational equivalence
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 cycle; real algebraic variety; real algebraic models Real algebraic sets, Algebraic cycles Submanifolds of 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 curve; torsion group; parametrization; reduction theory; numerical calculation; computer Małgorzata Wieczorek, Torsion points on certain families of elliptic curves, Canad. Math. Bull. 46 (2003), no. 1, 157 -- 160. Elliptic curves over global fields, Elliptic curves over local fields, Software, source code, etc. for problems pertaining to number theory, Elliptic curves, Cubic and quartic Diophantine equations Torsion points on certain families of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods (Co)homology theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Algebraic cycles, Singularities of surfaces or higher-dimensional varieties, Curves in algebraic geometry On glueing curves on surfaces and 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 holomorphic sympltic varieties; \(K3\) surfaces; Tate conjecture Charles, F., \textit{birational boundedness for holomorphic symplectic varieties, zarhin's trick for \textit{K}3 surfaces, and the Tate conjecture}, Ann. of Math. (2), 184, 487-526, (2016) \(K3\) surfaces and Enriques surfaces, Finite ground fields in algebraic geometry, Parametrization (Chow and Hilbert schemes) Birational boundedness for holomorphic symplectic varieties, Zarhin's trick for \(K3\) surfaces, and the Tate 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 motivic cohomology; algebraic cycle complex; moving lemma; motivic homology; Bloch group Stefan J. Müller-Stach, Algebraic cycle complexes: Basic properties, The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998, Kluwer Academic Publishers, 2000, p. 285-305 Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry Algebraic cycle complexes: Basic properties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme; obstruction; Enriques surface; Enriques-Fano threefold Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry Obstructions to deforming curves on an Enriques-Fano 3-fold
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Kostka numbers; Procesi bundle; Verma modules; Morita equivalence I. Gordon, J. T. Stafford, Rational Cherednik algebras and Hilbert schemes. II. Representations and sheaves, Duke Math. J. 132 (2006), no. 1, 73--135. Parametrization (Chow and Hilbert schemes), Module categories in associative algebras, Modifications; resolution of singularities (complex-analytic aspects), Deformations of associative rings, Combinatorial aspects of representation theory Rational Cherednik algebras and Hilbert schemes. II: Representations and sheaves
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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 Gröchenig, M., Hilbert schemes as moduli of Higgs bundles and local systems, Int. math. res. not. IMRN, 2014, 23, 6523-6575, (2014) Relationships between algebraic curves and integrable systems, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, McKay correspondence Hilbert schemes as moduli of Higgs bundles and local systems
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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 Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, (Co)homology theory in algebraic geometry On the variety of complete punctual flags of length 5 in dimensions 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 discrete logarithm; index calculus; elliptic curves; point decomposition; symmetry; satisfiability; \textsc{dpll} algorithm Cryptography, Elliptic curves A SAT-based approach for index calculus on binary 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 Hecke character; elliptic curve; mixed motives; motive extensions Deninger, C., \textit{extensions of motives associated to symmetric powers of elliptic curves and to Hecke characters of imaginary quadratic fields}, Arithmetic geometry (Cortona, 1994), 99-137, (1997), Cambridge University Press, Cambridge Generalizations (algebraic spaces, stacks), Elliptic curves, Quadratic extensions, Drinfel'd modules; higher-dimensional motives, etc. Extensions of motives associated to symmetric powers of elliptic curves and to Hecke characters of imaginary quadratic fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Pumplün, S.: Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index. Math. Z. 246, No. 3, 563-602 (2004) Vector bundles on curves and their moduli, Elliptic curves Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index
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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 space; twisted cubic curve Hans-Georg Freiermuth - Günther Trautmann, On the Moduli Scheme of Stable Sheaves Supported on Cubic Space Curves, Amer. J. Math., 126 (2004), pp. 363--393. Zbl1069.14012 MR2045505 Algebraic moduli problems, moduli of vector bundles, Parametrization (Chow and Hilbert schemes), Plane and space curves On the moduli scheme of stable sheaves supported on cubic 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 Kleinian singularity; McKay correspondence; minimal resolution; Hilbert scheme Dlab, V.: Representations of valued graphs. In: Séminaire de Mathématiques Supérieures [Seminar on Higher Mathematics], vol. 73. Presses de l'Université de Montréal, Montreal, Que (1980) Singularities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects) On the exceptional fibres of Kleinian 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 dual behavior space; Riemann-Roch theorem; equivalence relation Differentials on Riemann surfaces, (Equivariant) Chow groups and rings; motives Some relations between behavior 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 elliptic curve; congruent number problem; Selmer group Elliptic curves over global fields, Elliptic curves, Asymptotic results on counting functions for algebraic and topological structures Joint distribution for the Selmer ranks of the congruent number 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 symmetric informationally complete POV measures; Weyl-Heisenberg group; elliptic curves; Hesse configuration; linear dependencies Dang, H. B.; Blanchfield, K.; Bengtsson, I.; Appleby, D. M., Linear dependencies in Weyl-Heisenberg orbits, Quantum Inf. Process., 12, 3449-3475, (2013) General and philosophical questions in quantum theory, Quantum measurement theory, state operations, state preparations, Vector-valued measures and integration, PDEs on Heisenberg groups, Lie groups, Carnot groups, etc., Elliptic curves Linear dependencies in Weyl-Heisenberg 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 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 evaluation of L-series; Birch Swinnerton-Dyer conjecture; elliptic curve; Galois cohomology G. Frey: A relation between the value of the L-series of the curve:y 2=x 3-k 3 ins=1 and its Selmer group, Arch. Math. 45, 232--238 (1985) Special algebraic curves and curves of low genus, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Galois cohomology, Elliptic curves, Holomorphic modular forms of integral weight A relation between the value of the L-series of the curve: \(y^ 2=x^ 3-k^ 3\) in \(s=1\) and its Selmer group
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curve; cryptography; scalar multiplication; point multiplication; Montgomery ladder; countermeasures against SCA Cryptography, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Computational aspects of algebraic curves, Elliptic curves Speeding up regular elliptic curve scalar multiplication without precomputation
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Motivic cohomology; motivic homotopy theory, Algebraic cycles, Rational and birational maps, Categories in geometry and topology Motives and adjoints
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; torsion point; isogeny; complex multiplication; cyclic torsion Tetsuo Nakamura, Cyclic torsion of elliptic curves, Proc. Amer. Math. Soc. 127 (1999), no. 6, 1589 -- 1595. Elliptic curves over global fields, Elliptic curves, Complex multiplication and moduli of abelian varieties, Isogeny Cyclic torsion 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 Fermat quotients; Ceresa classes; (L\)-function Higher degree equations; Fermat's equation, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic cycles Experiments with Ceresa classes of cyclic Fermat 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 Perturbative methods of renormalization applied to problems in quantum field theory, Topological field theories in quantum mechanics, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Effective Batalin-Vilkovisky quantization and geometric 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 base loci; algebraic cycles; positivity of cycles Algebraic cycles, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Augmented and restricted base loci of 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-geometric codes; parity check matrix; elliptic curves; self- dual codes Driencourt, Y.; Michon, J. F.: Remarques sur LES codes géométriques. CR acad. Sci. Paris sér. I math. 301, No. No. 1, 15-17 (1985) Theory of error-correcting codes and error-detecting codes, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Linear codes (general theory) Remarques sur les codes géométriques. (Remarks on geometric codes)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion groups of elliptic curves with integral j-invariant; pure cubic number fields Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (1990) Elliptic curves, Computational aspects of algebraic curves, Cubic and quartic extensions, Global ground fields in algebraic geometry Torsion groups of elliptic curves with integral j-invariant over pure cubic 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 Dhillon, A; Young, M, The motive of the classifying stack of the orthogonal group, Mich. Math. J., 65, 189-197, (2016) (Equivariant) Chow groups and rings; motives, Quadratic forms over general fields, Generalizations (algebraic spaces, stacks) The motive of the classifying stack of the orthogonal group
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rigid local systems; motivic Galois group Dettweiler, M.; Reiter, S., Rigid local systems and motives of type \(G\)\_{}\{2\}With an appendix by Michale Dettweiler and Nicholas M. Katz., Compos. Math., 146, 929-963, (2010) Arithmetic problems in algebraic geometry; Diophantine geometry, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies Rigid local systems and motives of type \(G_{2}\)
| 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 deformation theory; infinitesimal methods; formal neighborhoods; algebraic moduli problems; formal moduli; Hilbert schemes; moduli of curves; moduli of vector bundles R. Hartshorne, \textit{Deformation Theory} (Springer, Berlin, 2010), Grad. Texts Math. 257. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Families, fibrations in algebraic geometry, Infinitesimal methods in algebraic geometry, Formal methods and deformations in algebraic geometry, Local deformation theory, Artin approximation, etc., Deformations of singularities, Algebraic moduli problems, moduli of vector bundles, Parametrization (Chow and Hilbert schemes) Deformation theory
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves hyperelliptic curves in abelian varieties Algebraic moduli of abelian varieties, classification, Elliptic curves Hyperelliptic curves in 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 irreducible representations; 4-dimensional Sklyanin algebra; points of infinite order; elliptic curve; line bundle; finite dimensional modules Smith, S. Paul; Staniszkis, J. M., Irreducible representations of the \(4\)-dimensional Sklyanin algebra at points of infinite order, J. Algebra, 160, 1, 57-86, (1993) Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Elliptic curves, Noetherian rings and modules (associative rings and algebras), Finite rings and finite-dimensional associative algebras, Representations of orders, lattices, algebras over commutative rings, Homological dimension in associative algebras Irreducible representations of the \(4\)-dimensional Sklyanin algebra at points of infinite order
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves false generation theorem; elliptic curve; applications Fuzzy sets and logic (in connection with information, communication, or circuits theory), Cryptography, Elliptic curves, Applications to coding theory and cryptography of arithmetic geometry Encryption of fuzzy recognition with \(t\)-order iteration
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves quartic residue; two dimensional irreducible complex representation; cusp form of weight one; Weil-Langlands theory; Fourier coefficients; identities between cusp forms; quartic reciprocity; higher reciprocity law; cusp form of weight two; inverse Mellin transform; L-function of elliptic curve; congruence mod 4 N. Ishii, ''Cusp forms of weight one, quadratic reciprocity and elliptic curves,''Nagoya Math. J.,98, 117--137 (1985). Holomorphic modular forms of integral weight, Congruences for modular and \(p\)-adic modular forms, Langlands-Weil conjectures, nonabelian class field theory, Elliptic curves Cusp forms of weight one, quartic reciprocity 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 Chow ring; constant cohomology ring; ring of formal power series; quantum cohomology; contact product; number of rational plane curves [EK2]Ernström, L. andKennedy, G., Contact cohomology of the projective plane,Amer. J. Math. 121 (1999), 73--96. Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Enumerative problems (combinatorial problems) in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes) Contact cohomology of the projective plane
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rigidity theorem; rigid analytic varieties; motives; tilting equivalence (Equivariant) Chow groups and rings; motives, Rigid analytic geometry, Varieties over finite and local fields, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Rigidity for rigid analytic motives
| 0 |
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