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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 hyperelliptic locus of line bundle; double cover; polarized surfaces of \(\Delta\)-genus Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Elliptic curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Polarized surfaces with hyperelliptic sections
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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 conics on Fano threefolds; Abel-Jacobi mapping; intermediate Jacobian Fano varieties, Parametrization (Chow and Hilbert schemes), Picard schemes, higher Jacobians, \(3\)-folds Relations dans l'anneau de Chow de la surface des coniques des variétés de Fano, et applications. (Relations in the Chow ring of the surface of conics of Fano varieties 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 Chow group; quadrics; \(k\)-rationality Vishik, A., \textit{generic points of quadrics and Chow groups}, Manuscripta Math., 122, 365-374, (2007) (Equivariant) Chow groups and rings; motives, Quadratic forms over general fields, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Generic points of quadrics and Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian varieties over finite fields; cycle class Clozel, L., Equivalence numérique et équivalence cohomologique pour LES variétés abéliennes sur LES corps finis, Ann. of Math. (2), 150, 151-163, (1999) Arithmetic ground fields for abelian varieties, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, Finite ground fields in algebraic geometry Numerical equivalence and cohomological equivalence for 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 Hilbert scheme; Hilbert function Gotzmann, G.: Durch Hilbertfunktionen definierte Unterschemata des Hilbertschemas. Comment. Math. Helv.63, 114--149 (1988) Parametrization (Chow and Hilbert schemes), Group actions on varieties or schemes (quotients) Durch Hilbertfunktionen definierte Unterschemata des Hilbertschemas. (Subschemes of the Hilbert scheme defined by Hilbert 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 cactus rank; Artinian Gorenstein local algebra Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Computational aspects of higher-dimensional varieties, Parametrization (Chow and Hilbert schemes), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series On polynomials with given Hilbert function 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 complex multiplication; elliptic curve; integral; Seshadri constant; abelian surface Divisors, linear systems, invertible sheaves, Elliptic curves, Complex multiplication and abelian varieties On the integrality of Seshadri constants of 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 characteristic 2; isomorphism classes of elliptic curves over finite ground field; Weierstrass form; number of points Menezes A., Vanstone S.: Isomorphism classes of elliptic curves over finite fields of characteristic 2. Utilitas Math. \textbf{38}, 135-154 (1990). Elliptic curves, Finite ground fields in algebraic geometry Isomorphism classes of elliptic curves over finite fields of characteristic 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 N. Semenov and M. Zhykhovich, Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems, Math. Ann., 363 (2015), no. 1-2, 61--75. Zbl 06488199 MR 3394373 (Equivariant) Chow groups and rings; motives Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsor; linear algebraic group; gamma filtration; twisted flag variety Zainoulline K., Twisted gamma filtration of a linear algebraic group, Compos. Math., 2012, 148(5), 1645--1654 Algebraic cycles, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients) Twisted gamma filtration of a linear algebraic 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 modular operad; log-canonical Hilbert scheme Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes) Modular operads of embedded 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 earlier history of elliptic curves; Diophantus; Fermat; Newton; elliptic integrals; elliptic functions Elliptic curves over global fields, Elliptic curves, History of number theory, History of algebraic geometry 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 projective bundles; Chow rings; characteristic classes; intersection theory (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On a relative form of Verdier specialization
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Siegel varieties; Baily-Borel-Satake compactification Polylogarithms and relations with \(K\)-theory, Modular and Shimura varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Elliptic curves On the residue of Eisenstein classes of Siegel 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 Samaev's summation polynomials; Stange's elliptic nets; index calculus attack Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves Some relations between Semaev's summation polynomials and Stange's elliptic nets
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Formal neighborhoods in algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Rigid analytic geometry, Deformations of complex singularities; vanishing cycles Artin motives, weights, and motivic nearby sheaves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves (Equivariant) Chow groups and rings; motives, Research exposition (monographs, survey articles) pertaining to algebraic geometry Intersecting cycles on an algebraic variety
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Aspinwall, P. S.: A mckay-like correspondence for (0,2)-deformations String and superstring theories; other extended objects (e.g., branes) in quantum field theory, McKay correspondence, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes), Deformations of singularities, Topology and geometry of orbifolds, Representations of quivers and partially ordered sets, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Blow-up in context of PDEs A McKay-like correspondence for \((0,2)\)-deformations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves family of abelian varieties; large Mordell-Weil rank; elliptic curve F. Hazama, The Mordell-Weil group of certain abelian varieties defined over the rational function field,Tohoku Math. J. 44 (1992), 335--344. Algebraic moduli of abelian varieties, classification, Arithmetic ground fields for abelian varieties, Rational points, Elliptic curves The Mordell-Weil group of certain abelian varieties defined over the rational function field
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher arithmetic Chow groups; arithmetic intersection theory; height pairing; Beilinson regulator; Deligne cohomology Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Heights Higher arithmetic intersection theory
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; reductive groups; Higgs bundles; moduli spaces Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Elliptic curves Higgs bundles over elliptic curves for complex reductive 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 1-motive; Barsotti-Tate group Group schemes, (Equivariant) Chow groups and rings; motives, Formal groups, \(p\)-divisible groups On deformations of 1-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 \(L\)-functions; local roots; Weil curves; elliptic curve; local root number; congruence condition Halberstadt, E., Signes locaux des courbes elliptiques en 2 et 3, C. R. Acad. Sci. Paris, Sér. I Math., 326, 1047-1052, (1998) Elliptic curves over global fields, Elliptic curves Local root numbers of elliptic curves for \(p=2\) or 3
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; height; Arakelov degree; effective cycle; semi-stable Chow point; arithmetic variety Jean-Benoît Bost, Semi-stability and heights of cycles, Invent. Math. 118 (1994), no. 2, 223 -- 253. Arithmetic varieties and schemes; Arakelov theory; heights, Algebraic cycles, Algebraic moduli problems, moduli of vector bundles, Global ground fields in algebraic geometry Semi-stability and heights 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 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 proof of Mordell conjecture; proof of Tate conjecture; proof of; Shafarevich conjecture; height of Abelian variety; rational points; on elliptic curves Deligne, P., Preuve des conjectures de Tate et de shafarevitch (d'après G. faltings), Asterisque, 121-122, 25-41, (1985) Arithmetic ground fields for abelian varieties, Rational points, Global ground fields in algebraic geometry, Elliptic curves, Special algebraic curves and curves of low genus Preuve des conjectures de Tate et de Shafarevitch [D'après G. Faltings]. (Proof of the conjecture of Tate and Shafarevich [After G. Faltings])
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 surfaces; Abelian fourfolds; hyperkähler varieties Algebraic cycles, Algebraic moduli problems, moduli of vector bundles Footnotes to papers of O'Grady and Markman
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; group law; elementary proof Elliptic curves, Applications to coding theory and cryptography of arithmetic geometry An elementary linear-algebraic proof without computer-aided arguments for the group law 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 reducible Hilbert scheme; F 48.068701; irreducible components of the Hilbert scheme; positive Brill-Noether number Keem, C, Reducible Hilbert scheme of smooth curves with positive brill-Noether number, Proc. Amer. Math. Soc., 122, 349-354, (1994) Parametrization (Chow and Hilbert schemes), Curves in algebraic geometry Reducible Hilbert scheme of smooth curves with positive Brill-Noether number
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves classifying point systems; superabundant subschemes; Hilbert scheme Coppo, M. -A.: Familles maximales de systèmes de points surabondants dans P2. Math. ann. 291, 725-735 (1991) Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves Maximal families of superabundant point systems in \(\mathbb{P}^ 2\)
| 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 \(\theta\)-element; \(L\)-function; Birch-Swinnerton-Dyer conjecture; generalized Mazur-Tate regulator Bertolini, M.; Darmon, H.: Derived heights and generalized Mazur-Tate regulators. Duke math. J. 76, 75-111 (1994) Arithmetic varieties and schemes; Arakelov theory; heights, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Other algebras and orders, and their zeta and \(L\)-functions, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves Derived heights and generalized Mazur-Tate regulators
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves degree formula; index; upper motive; cellular variety; canonical \(p\)-dimension; \(p\)-equivalence; algebraic cobordism O. Haution, Invariants of upper motives, Doc. Math. 18 (2013), 1555-1572. Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Invariants of upper 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 ranks; border ranks; linearly normal elliptic curve; \(X\)-rank Projective techniques in algebraic geometry, Elliptic curves On the stratification of projective \(n\)-space by \(X\)-ranks, for a linearly normal elliptic curve \(X \subset \mathbb P^n\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curve; rank Koh-ichi Nagao, An example of elliptic curve over \?(\?) with rank \ge 13, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 5, 152 -- 153. Elliptic curves, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; minimal model program; quiver representations; Bridgeland stability conditions Arcara, D.; Bertram, A.; Coskun, I.; Huizenga, J., The minimal model program for the Hilbert scheme of points on \(\mathbb{P}^2\) and Bridgeland stability, Adv. Math., 235, 580-626, (2013) Minimal model program (Mori theory, extremal rays), Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Stacks and moduli problems The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Brauer-Manin obstruction; fibration method Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Brauer groups of schemes, Rational points, Algebraic cycles, Varieties over global fields Applications of the fibration method to the Brauer-Manin obstruction to the existence of zero-cycles on certain 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 Abel-Jacobi map; regulator; Deligne cohomology; higher Chow group Kerr, Matt and Lewis, James D. and Müller-Stach, Stefan, The {A}bel--{J}acobi map for higher {C}how groups, Compositio Mathematica, 142, 2, 374-396, (2006) Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) The Abel-Jacobi map for higher Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves polarised Hodge structures Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On the Hodge theory of the symmetric powers of a curve.
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; elliptic sequences; continued fractions; singular case; periodicity; function field Van Der Poorten, A.: Elliptic curves and continued fractions. Journal of integer sequences 8, No. 2, 1-19 (2005) Continued fractions, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves, Special sequences and polynomials, Special algebraic curves and curves of low genus Elliptic curves and continued fractions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves motive; algebraic group; homogeneous variety Petrov, V.; Semenov, N.; Zainoulline, K., \textit{J}-invariant of linear algebraic groups, Ann. Sci. Éc. Norm. Supér. (4), 41, 6, 1023-1053, (2008) (Equivariant) Chow groups and rings; motives, Homogeneous spaces and generalizations, Linear algebraic groups over arbitrary fields \(J\)-invariant of linear algebraic 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 textbook; abstract algebra; commutative algebra; Galois theory; foundations of algebraic geometry; basic algebraic number theory L. H. Rowen, \textit{Graduate Algebra: Noncommutative View}, Grad. Stud. Math. 91, American Mathematical Society, Providence, 2006. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Varieties and morphisms, Elliptic curves, Separable extensions, Galois theory Graduate algebra: commutative view
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moving Seshadri constants; varieties of maximal Albanese dimension; separation of \(k\)-jets Divisors, linear systems, invertible sheaves, Algebraic cycles, Transcendental methods of algebraic geometry (complex-analytic aspects) Moving Seshadri constants, and coverings of varieties of maximal Albanese dimension
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves multiplication algorithm; bilinear complexity; elliptic function field; interpolation on algebraic curve; finite field Ballet, Stéphane; Bonnecaze, Alexis; Tukumuli, Mila, On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields, J. Algebra Appl., 0219-4988, 15, 1, 1650005, 26 pp., (2016) Number-theoretic algorithms; complexity, Structure theory for finite fields and commutative rings (number-theoretic aspects), Arithmetic theory of algebraic function fields, Elliptic curves, Cryptography On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme; singularities; Borel-fixed points; deformations of ideals Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), Fine and coarse moduli spaces, Singularities of surfaces or higher-dimensional varieties Hilbert schemes with two Borel-fixed 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 equations over finite fields; elliptic curves; diophantine equations in two variables; quadratic residues; large sieve; Mordell's theorem; Riemann Roch theorem; rational points; integral points; Thue equation; superelliptic equations; nonstandard arithmetic; Hilbert's tenth problem Stepanov, SA: Arithmetic of Algebraic Curves Translated from the Russian by Irene Aleksanova. Monographs in Contemporary Mathematics. Consultants Bureau, New York (1994). Elliptic curves over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Elliptic curves, Elliptic curves over local fields, Multiplicative and norm form equations Arithmetic of algebraic curves. Transl. from Russian by Irene Aleksanova
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Cremona's theorem; Cayley's curve; Hesse's curve; conics; equianharmonic; elliptic functions Questions of classical algebraic geometry, Plane and space curves, Elliptic curves Problem concerning third order plane curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular curve; integral differentials; elliptic function field R. Radtke-Harder, Arithmetisch ganze Differentiale eines elliptischen Funktionenkörpers. Thesis. Hamburg, 1982. Analytic theory of abelian varieties; abelian integrals and differentials, Abstract differential equations, Morphisms of commutative rings, Elliptic curves Arithmetisch ganze Differentiale eines elliptischen Funktionenkörpers
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 power of a smooth projective curve; naive Grothendieck ring of varieties Theta functions and abelian varieties, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for abelian varieties, Divisors, linear systems, invertible sheaves, Étale and other Grothendieck topologies and (co)homologies, Theta functions and curves; Schottky problem, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Finite ground fields in algebraic geometry A note on congruences for theta divisors
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; numerical equivalence; positivity Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Volume-type functions for numerical cycle 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 Hasse principle; weak approximation; fibration; zero-cycle; Brauer-Manin obstruction J. Colliot-Thélène, ''The Hasse principle in a pencil of algebraic varieties,'' in Number Theory, Providence, RI: Amer. Math. Soc., 1998, vol. 210, pp. 19-39. Global ground fields in algebraic geometry, Arithmetic ground fields (finite, local, global) and families or fibrations, Rational points, Varieties over global fields, Algebraic cycles The Hasse principle in a pencil of 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 Yuichiro Takeda, Higher arithmetic \?-theory, Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, 599 -- 681. Arithmetic varieties and schemes; Arakelov theory; heights, \(K\)-theory of schemes, Algebraic cycles Higher arithmetic \(K\)-theory
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; torsion points; division fields; torsion fields; division polynomials; sporadic points; modular curves Elliptic curves over global fields, Elliptic curves Ramification in division fields and sporadic points on 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 elliptic curve; commutative operation Formalization of mathematics in connection with theorem provers, Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves, Cryptography Operations of points on elliptic curve in affine coordinates
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number theory; algebraic point; Hilbert scheme; heights Rational points, Varieties over global fields, Parametrization (Chow and Hilbert schemes), Heights Algebraic points of bounded height on a 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 \(p\)-adic deformations; cusp forms; functional equation of \(L\)-series; order of vanishing of the \(L\)-function; elliptic curve; Mordell-Weil group; Selmer group; Birch and Swinnerton-Dyer conjecture Greenberg, R.: Elliptic curves and p-adic deformations. In: Kisilevsky, H., Ram Murty, M. (eds.) Elliptic Curves and Related Topics. CRM Proceedings and Lecture Notes, vol. 4, pp. 101--110. American Mathematical Society, Providence, RI (1994) Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves over global fields Elliptic curves and \(p\)-adic deformations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; characteristic two; multiplication; Frobenius expansion; Frobenius endomorphism Müller, V.: Fast multiplication on elliptic curves over small fields of characteristic two. J. cryptol. 11, 219-234 (1998) Number-theoretic algorithms; complexity, Computational aspects of algebraic curves, Cryptography, Elliptic curves, Elliptic curves over global fields Fast multiplication on elliptic curves over small fields of characteristic two
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert schemes; Gromov-Witten invariants; localization technique Li, J; Li, W-P, Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces, Math. Ann., 349, 839-869, (2011) Parametrization (Chow and Hilbert schemes), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Vertex operators; vertex operator algebras and related structures Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert schemes; Gröbner bases; initial ideals Lella, P., Roggero, M.: Rational components of Hilbert schemes. Rendiconti del Seminario Matematico dell'Università di Padova \textbf{126}, 11-45 (2011) Parametrization (Chow and Hilbert schemes), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Rational components of Hilbert 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 algebraic curves over finite fields; algebraic geometric codes; elliptic curves; factoring large integers; cryptosystem; Jacobian variety Other types of codes, Cryptography, Elliptic curves, Curves in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) Three practical applications of algebraic curves over finite fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Fermat equations; modular curves; ABC-conjecture; asymptotic Fermat conjecture; elliptic curves; Galois representations; function fields G. Frey, ''On ternary equations of Fermat type and relations with elliptic curves,'' in Modular Forms and Fermat's Last Theorem, New York: Springer-Verlag, 1997, pp. 527-548. Elliptic curves over global fields, Higher degree equations; Fermat's equation, Elliptic curves On ternary equations of Fermat type and relations with 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 Enriques' classification; Hilbert scheme; Castelnuovo's theory; surfaces in \(\mathbb{P}^4\) Gennaro, V, A note on smooth surfaces in \({\mathbb{P}}^4\), Geometriae Dedicata, 71, 91-96, (1998) Parametrization (Chow and Hilbert schemes), Surfaces of general type, Surfaces and higher-dimensional varieties, Projective techniques in algebraic geometry, Low codimension problems in algebraic geometry A note on smooth surfaces in \(\mathbb{P}^4\)
| 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 Abel identities; Abel relations; n-torsion points Special algebraic curves and curves of low genus, Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry, Elliptic curves Abel's identities
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves central simple algebras; generalized Severi-Brauer varieties; Chow groups and motives Zhykhovich, M., \textit{decompositions of motives of generalized Severi-Brauer varieties}, Doc. Math., 17, 151-165, (2012) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles Decompositions of motives of generalized 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 hyperelliptic curves with real multiplication J.-F. Mestre, Familles de courbes hyperelliptiques à multiplications réelles, Arithmetic algebraic geometry (Texel, 1989) Progr. Math., vol. 89, Birkhäuser Boston, Boston, MA, 1991, pp. 193 -- 208 (French). Elliptic curves, Families, moduli of curves (algebraic), Complex multiplication and abelian varieties Families de courbes hyperelliptiques à multiplications réelles. (Families of hyperelliptic curves 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 Nisnevich topology; cd-structure; modulus pairs; motives with modulus Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles, Grothendieck topologies and Grothendieck topoi, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Nisnevich topology with modulus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves recovery of vanishing cycles; log geometry; Riemann-Hilbert correspondence; integral structure of the degenerate variation of mixed Hodge structure S. USUI, Recovery of vanishing cycles by log geometry, Tôhoku Math. J., 53 (1) (2001), pp. 1-36. Zbl1015.14005 MR1808639 Variation of Hodge structures (algebro-geometric aspects), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations Recovery of vanishing cycles by log geometry
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves homological mirror symmetry; hermitian holomorphic vector bundles; mirror dual Calabi-Yau manifolds A. Polishchuk, Homological mirror symmetry with higher products, Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999) AMS/IP Stud. Adv. Math., vol. 23, Amer. Math. Soc., Providence, RI, 2001, pp. 247-259. Calabi-Yau theory (complex-analytic aspects), Calabi-Yau manifolds (algebro-geometric aspects), Elliptic curves Homological mirror symmetry with higher products
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic \(K\)-theory; Bloch-Quillen formula; Gersten spectral sequence; sheaves of higher \(K\)-groups; torsion; higher Chow groups; relative Chow group; Picard groups S. E. Landsburg, ''Relative Chow groups,'' Illinois J. Math., vol. 35, iss. 4, pp. 618-641, 1991. \(K\)-theory of schemes, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles Relative Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Picard number; Néron-Severi group; K3-surfaces Picard groups, \(K3\) surfaces and Enriques surfaces, Elliptic curves, Arithmetic theory of algebraic function fields On the rank of elliptic curves over \(\mathbb{Q}(t)\) arising from 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 Hilbert scheme of smooth connected space curves; degree; genus Kleppe, J.O.: On the existence of nice components in the Hilbert Scheme \(\text{H}(d,g)\) of Smooth Connected Space Curves. Boll. U.M.I (7) 8-B, 305-326 (1994) Families, moduli of curves (algebraic), Plane and space curves, Parametrization (Chow and Hilbert schemes), Vector bundles on curves and their moduli On the existence of nice components in the Hilbert scheme \(H(d,g)\) of smooth connected 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Grothendieck groups and \(K_0\), \(K\)-theory in geometry, \(K\)-theory in number theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to \(K\)-theory Algebraic \(K\)-theory and motivic cohomology. Abstracts from the workshop held June 26 -- July 2, 2016
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rational curves; hypersurfaces; log varieties; rational equivalence; Chow groups (Equivariant) Chow groups and rings; motives, \(K3\) surfaces and Enriques surfaces, Rational and birational maps \({\mathbb A}^1\)-curves on affine complete intersections
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves supersingular polynomial; Fricke group; class equation; elliptic curve; resultant Elliptic curves, Other groups and their modular and automorphic forms (several variables), Relationship to Lie algebras and finite simple groups Supersingular conjectures for the Fricke 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 Hypersurfaces and algebraic geometry, Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Grassmannians, Schubert varieties, flag manifolds Rational curves on general type 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 hyperelliptic curves; Green functions; branch points Families, moduli of curves (analytic), Applications of deformations of analytic structures to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Elliptic curves On a new hyperelliptic formula
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 algebraic groups; twisted flag varieties; Rost invariant; Chow motives; equivariant Chow groups Garibaldi, S.; Petrov, V.; Semenov, N., \textit{shells of twisted flag varieties and the rost invariant}, Duke Math. J., 165, 285-339, (2016) (Equivariant) Chow groups and rings; motives, Grassmannians, Schubert varieties, flag manifolds, Exceptional groups Shells of twisted flag varieties and the Rost invariant
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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, Divisors, linear systems, invertible sheaves Morphisms of 1-motives defined by line 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 Bloch-Beilinson filtration; Chow group of zero-cycles; abelian varieties; (co)niveau filtration Algebraic cycles, Algebraic theory of abelian varieties Action of correspondences on filtrations on cohomology and 0-cycles of 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 4-dimensional Einstein metrics; conical singularities; Poncelet problem Hitchin, N.J.: 'A new family of Einstein metrics'. In: \textit{Manifolds and geometry (Pisa, 1993)}, Cambridge: Cambridge Univ. Press, 1996, pp. 190-222 Special Riemannian manifolds (Einstein, Sasakian, etc.), Elementary problems in Euclidean geometries, Twistor theory, double fibrations (complex-analytic aspects), Elliptic functions and integrals, Elliptic curves, Ordinary differential equations in the complex domain A new family of Einstein metrics
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Bezrukavnikov, R.; Finkelberg, M.; Ginzburg, V., Cherednik algebras and Hilbert schemes in characteristic \textit{p}, Represent. Theory, 10, 254-298, (2006), with an appendix by Pavel Etingof Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Associative rings and algebras arising under various constructions Cherednik algebras and Hilbert schemes in characteristic \(p\). With an appendix by Pavel Etingof
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Nori's theorem; Abel-Jacobi map; Deligne cohomology Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Lectures on Nori's connectivity 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 linkage; deficiency module; space curve; maximal genus; Hilbert scheme Plane and space curves, Linkage, Parametrization (Chow and Hilbert schemes) On certain curves of maximal genus in \(\mathbb{P}{}^ 3\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme; linear series; linearly normal curves Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic) On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) of relatively high degree
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves vector bundles; rational ruled surfaces; ruled threefolds; Hilbert schemes; moduli spaces \(3\)-folds, Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Varieties of low degree, Adjunction problems On families of rank-\(2\) uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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), Differential algebra, Varieties and morphisms, Model-theoretic algebra Differential Chow varieties exist
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(q\)-ample vector bundles; G2-property Algebraic cycles, Formal neighborhoods in algebraic geometry, Divisors, linear systems, invertible sheaves Subvarieties with partially ample normal 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 cycle module; unramified element; Galois cohomology; R-equivalence; classifying variety Merkurjev, A, Unramified elements in cycle modules, J. Lond. Math. Soc., 78, 51-64, (2008) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Rational and birational maps Unramified elements in cycle 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 elliptic curves; fast addition; scalar multiplication; coordinate systems Daniel J. Bernstein and Tanja Lange, Analysis and optimization of elliptic-curve single-scalar multiplication, Finite fields and applications, Contemp. Math., vol. 461, Amer. Math. Soc., Providence, RI, 2008, pp. 1 -- 19. Cryptography, Finite ground fields in algebraic geometry, Computational aspects of algebraic curves, Elliptic curves Analysis and optimization of elliptic-curve single-scalar 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 Jacobi quartic curves; Tate pairing; Ate pairing; twists; Miller algorithm; computation Duquesne, S.; El Mrabet, N.; Fouotsa, E., Efficient pairing computation on Jacobi quartic elliptic curve, J. Math. Cryptol., 8, 4, 331-362, (2014) Elliptic curves, Curves over finite and local fields, Analysis of algorithms, Cryptography Efficient computation of pairings on Jacobi quartic 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 Qian, C J, A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems, 4708-4715, (2005) Parametrization (Chow and Hilbert schemes), (Co)homology theory in algebraic geometry A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert 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 algebraic cycles; Grothendieck standard conjecture; threefolds С. Г. Танкеев, ``О стандартной гипотезе типа Лефшеца для комплексных проективных трехмерных многообразий'', Изв. РАН. Сер. матем., 74:1 (2010), 175 -- 196 Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, \(3\)-folds On the standard conjecture of Lefschetz type for complex projective 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 obstruction theories; Hodge locus; semi-regularity map; deformation of linear systems; Noether-Lefschetz locus Infinitesimal methods in algebraic geometry, Local cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects) Local topological obstruction for divisors
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Bloch conjecture; generalized Hodge conjecture C. Voisin, The generalized Hodge and Bloch conjectures are equivalent for general complete intersections, Ann. Sci. Éc. Norm. Supér. (4) 46 (2013), 449--475. Transcendental methods, Hodge theory (algebro-geometric aspects), Complete intersections, Algebraic cycles The generalized Hodge and Bloch conjectures are equivalent for general complete intersections
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; correspondences; Chow motives; Jacobian Algebraic cycles, \(K\)-theory of schemes Motivic invariants of symmetric powers 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 inverse numerical range; determinantal representation; elliptic curve; kernel vector function Norms of matrices, numerical range, applications of functional analysis to matrix theory, General ternary and quaternary quadratic forms; forms of more than two variables, Inverse problems in linear algebra, Elliptic curves Inverse numerical range and determinantal representation
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Deligne cohomology; Beilinson regulators; algebraic cycles Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles Deligne cohomology and the geometric (co)-bar constructions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves computer calculations; quadratic fields; torsion groups; elliptic curves with given torsion structure; norm equations Müller, Hans H.; Ströher, Harald; Zimmer, Horst G., Torsion groups of elliptic curves with integral \(j\)-invariant over quadratic fields, J. Reine Angew. Math., 397, 100-161, (1989) Arithmetic ground fields for curves, Elliptic curves, Quadratic extensions, Software, source code, etc. for problems pertaining to algebraic geometry, Special algebraic curves and curves of low genus Torsion groups of elliptic curves with integral j-invariant over 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 uniformization; elliptic curves Compact Riemann surfaces and uniformization, Elliptic curves Simple numerical uniformatization 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 Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles Pullbacks of \(\kappa\) classes on \(\overline{\mathcal{M}}_{0,n}\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Weil pairing; Tate pairing; pairing computation; abelian varieties; Miller's algorithm DOI: 10.1016/j.jsc.2014.08.001 Arithmetic ground fields for abelian varieties, Theta functions and abelian varieties, Finite ground fields in algebraic geometry, Elliptic curves, Cryptography A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties
| 0 |
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