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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 rational points; Jacobian variety; Mordell-Weil group; Mordell-Weil lattice Saitō, M-H; Sakakibara, K-I, On Mordell-Weil lattices of higher genus fibrations on rational surfaces, J. Math. Kyoto Univ., 34, 859-871, (1994) Rational and ruled surfaces, Jacobians, Prym varieties, Lattices and convex bodies (number-theoretic aspects), Rational points On Mordell-Weil lattices of higher genus fibrations on rational surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cyclic elliptic curve; supersingular elliptic curve S. G. Vlăduţ , A note on the cyclicity of elliptic curves over finite field extensions . Finite Fields and Their Appl. 5 ( 1999 ), 354 - 363 . MR 1711837 | Zbl 1022.11030 Curves over finite and local fields, Elliptic curves, Elliptic curves over global fields On the cyclicity of elliptic curves over finite field extensions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves automorphisms of Kummer surfaces; Picard lattices; Leech lattices; products of elliptic curves Keum J H and Kondo S 2001 The automorphism groups of Kummer surfaces associated with the products of two elliptic curves \textit{Trans. Am. Math. Soc.}353 1469--87 Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Automorphism groups of lattices The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; finite-dimensional motives; cubics; Bloch conjecture; smash-nilpotence conjecture; Murre's conjectures Laterveer, R.: Algebraic cycles on Fano varieties of some cubics, submitted (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on Fano varieties of some cubics
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(M\)-curve; symmetric product; real locus Topology of real algebraic varieties, Jacobians, Prym varieties \(M\)-curves and symmetric products
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; \(K3\) surfaces; cubic hypersurfaces; Fano varieties of lines; Franchetta conjecture; hyper-Kähler varieties; Beauville ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Fano varieties, Holomorphic symplectic varieties, hyper-Kähler varieties Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) 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 elliptic surfaces; Mordell-Weil rank Elliptic surfaces, elliptic or Calabi-Yau fibrations Cyclic covers of rational elliptic surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves commuting partial differential operators; algebraically integrable systems; Sato theory; algebraic KP theory; algebraic surfaces; two-dimensional local fields; Parshin theory; generalized Schur pairs H. Kurke, D. V. Osipov, and A. B. Zheglov, Commuting differential operators and higher-dimensional algebraic varieties, Oberwolfach Preprint Ser., no. 2, 2012, http://www.mfo.de/scientific-programme/publications/owp. Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Rings of differential operators (associative algebraic aspects), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions Commuting differential operators and higher-dimensional 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 generalized Kummer varieties; Chow group of zero cycles; Bloch-Beilinson conjecture; Beauville conjecture; constant cycle subvarieties Lin, Hsueh-Yung, On the Chow group of zero-cycles of a generalized Kummer variety, Adv. Math., 298, 448-472, (2016) (Equivariant) Chow groups and rings; motives, Algebraic cycles On the Chow group of zero-cycles of a generalized Kummer 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 spannedness; jet ampleness; higher order embeddings; ampleness; abelian surface; ample line bundle; global generation; very ampleness \auTh. Bauer and T. Szemberg, Primitive higher order embeddings of abelian surfaces, \tiTrans. Amer. Math. Soc., , 349 ( (1997),)\spg1675-\epg1683. Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Algebraic moduli of abelian varieties, classification Primitive higher order embeddings of abelian 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 Chow varieties; number of dominant maps Tsai, I-Hsun: Chow varieties and finiteness theorems for dominant maps. J. algebraic geom. 7, No. 4, 611-625 (1998) Rational and birational maps, Parametrization (Chow and Hilbert schemes) Chow varieties and finiteness theorems for dominant maps
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hypersurfaces and algebraic geometry, \(4\)-folds On cubic fourfolds with an inductive structure
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert modular surface; Hirzebruch-Zagier cycles; Shimura varieties Cycles and subschemes, Global ground fields in algebraic geometry, Special surfaces, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Algebraische Zykel auf Hilbertschen Modulflächen. (Algebraic cycles on Hilbert modular varieties)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Elliptic curves, Massey products, Hecke-Petersson operators, differential operators (one variable) Universal triple Massey products on elliptic curves and Hecke's indefinite theta series
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves reciprocity laws; higher adèles; arithmetic surfaces; Grothendieck duality; residues Morrow, M.: Grothendieck's trace map for arithmetic surfaces via residues and higher adèles, Algebra number theory 6, No. 7, 1503-1536 (2012) Arithmetic ground fields for curves, Local cohomology and algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Grothendieck's trace map for arithmetic surfaces via residues and higher adèles
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves variation of Hodge structures; Hodge-Tate type; Gromov-Witten invariants; Hori-Vafa mirrors; log divergent periods Variation of Hodge structures (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects) Algebraic cycles and local quantum cohomology
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; 0-cycles; Brauer groups; rationality Brauer groups of schemes, Algebraic cycles, \(K\)-theory in geometry Universal triviality of the Chow group of 0-cycles and the Brauer 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 algebraic cycles; complete intersection M. Green and S. Müller-Stach, Algebraic cycles on a general hypersurface section of high degree of a smooth projective variety, manuscript. Algebraic cycles, Complete intersections, (Co)homology theory in algebraic geometry, Parametrization (Chow and Hilbert schemes) Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow variety; coisotropic hypersurface; Grassmannian; space curve; computation Computational aspects of higher-dimensional varieties, Parametrization (Chow and Hilbert schemes), Symbolic computation and algebraic computation Computing the Chow variety of quadratic 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 unlikely intersections; isogeny; abelian scheme; André-Pink-Zannier conjecture Arithmetic aspects of modular and Shimura varieties, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Isogeny Unlikely intersections with isogeny orbits in a product of elliptic 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 Tate conjecture for the Chow groups Colliot-Thélène, Jean-Louis, Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie étale, (Algebraic \textit{K}-theory, Seattle, WA, 1997, Proc. sympos. pure math., vol. 67, (1999), Amer. Math. Soc. Providence, RI), 1-12, (French) (Equivariant) Chow groups and rings; motives, Étale and other Grothendieck topologies and (co)homologies Local-global type conjectures on the image of Chow groups in étale cohomology
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves isogeny class of Abelian varieties; product of simple Abelian varieties; self-product of an elliptic curve Schoen, C., \textit{produkte abelscher varietäten und moduln über ordnungen}, J. Reine Angew. Math., 429, 115-123, (1992) Isogeny, Algebraic theory of abelian varieties, Elliptic curves Products of abelian varieties and modules over orders
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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 rationally connected varieties; algebraic cycles Lazarsfeld, R.: Positivity in algebraic geometry. I Classical setting: line bundles and linear series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics] Rationally connected varieties, Algebraic cycles One-cycles on rationally connected varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; \(\ell\)-adic cohomology; etale cohomology; Tate- conjecture Tate, John, Conjectures on algebraic cycles in \(l\)-adic cohomology.Motives, Seattle, WA, 1991, Proc. Sympos. Pure Math. 55, 71-83, (1994), Amer. Math. Soc., Providence, RI Algebraic cycles, \(p\)-adic cohomology, crystalline cohomology, Étale and other Grothendieck topologies and (co)homologies Conjectures on algebraic cycles in \(\ell\)-adic cohomology
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves real algebraic sets; algebraic cohomology classes; algebraic models Kucharz W.: Cycles on algebraic models of smooth manifolds. J. Eur. Math. Soc. (JEMS) 11, 393--405 (2009) Real algebraic sets, Topology of real algebraic varieties, Algebraic topology on manifolds and differential topology Cycles on algebraic models of smooth manifolds
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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 zero-cycles; diagonal cubic surfaces; Brauer groups; \(p\)-adic fields (Equivariant) Chow groups and rings; motives, Rational and ruled surfaces, Varieties over finite and local fields, Brauer groups of schemes Zero-cycles on diagonal cubic surfaces over \(p\)-adic fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic cycles, Holomorphic symplectic varieties, hyper-Kähler varieties, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry Algebraic cycles on moduli space of polarized hyperkähler manifolds
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher Chow group; Milnor K; Gersten resolution P. Elbaz-Vincent and S. Müller-Stach, \textsl{Milnor \(K\)-theory of rings, higher Chow groups and applications}, Invent. Math., \textbf{148}, (2002), no. 1, 177--206. DOI 10.1007/s002220100193; zbl 1027.19004; MR1892848 Higher symbols, Milnor \(K\)-theory, (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Milnor \(K\)-theory of rings, higher Chow groups 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 \(K3\) surfaces; spherical objects; Bloch-Beilinson conjecture; Chow groups Huybrechts D.: Chow groups and derived categories of K3 surfaces. J. EMS. 12, 1533--1551 (2010) Chow groups of \(K3\) surfaces and spherical objects
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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 stably non-degenerate abelian varieties; Hodge group F. Hazama, Algebraic cycles on nonsimple abelian varieties,Duke Math. J. 58 (1989), 31--37. Algebraic theory of abelian varieties, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on nonsimple abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Enrico Carlini, Codimension one decompositions and Chow varieties, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 67 -- 79. Projective techniques in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes) Codimension one decompositions and Chow varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Families, moduli of curves (algebraic), Theta functions and curves; Schottky problem, Classification theory of Riemann surfaces On the rationality of the moduli of higher spin curves in low genus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; moduli space; stable vector bundles; Poincaré-Hodge polynomial; symmetric power of a motive; \(\lambda\)-structure on a tensor category; MacDonald theorem; varieties of matrix divisors; standard conjecture of Lefschetz type; semisimplicity of Galois actions; Hodge conjecture; Tate conjecture S. del Baño, \textit{On the Chow motive of some moduli spaces}, J. Reine Angew. Math. \textbf{532} (2001), 105-132. Motivic cohomology; motivic homotopy theory, Algebraic moduli problems, moduli of vector bundles, (Equivariant) Chow groups and rings; motives, Vector bundles on curves and their moduli On the Chow motive of some moduli spaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chern-Simons theory; topological field theories; differential cohomology; M-theory; M-branes; geometric quantization Fiorenza, D., Sati, H., Schreiber, U.: Extended higher cup-product Chern-Simons theory. J. Geom. Phys. \textbf{74}, 130-163 (2013). [arXiv:1207.5449] [hep-th] Topological field theories in quantum mechanics, Differential geometric aspects of gerbes and differential characters, Applications of global differential geometry to the sciences, Anomalies in quantum field theory, Geometric quantization, Eta-invariants, Chern-Simons invariants, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Extended higher cup-product Chern-Simons theories
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli of complex elliptic curves; decorations Gergondey, R.: Decorated elleptic curves: modular aspects. In: Waldschmidt, M., et al. (eds.) From Number Theory to Physics, 2nd edn., pp. 292--312. Springer, Berlin (1995) Elliptic curves, Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Elliptic curves over global fields Decorated elliptic curves: Modular aspects
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian varieties; vector bundles; multiplication maps; partial positivity 10.1142/S0129167X14500360 Algebraic theory of abelian varieties, Vanishing theorems in algebraic geometry Index conditions and cup-product maps on 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 mixed Hodge structures; iterated integrals; higher order automorphic forms; Poincaré series Sreekantan, R, Higher order modular forms and mixed Hodge theory, Acta Arith., 139, 321-340, (2009) Holomorphic modular forms of integral weight, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Transcendental methods, Hodge theory (algebro-geometric aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects) Higher order modular forms and mixed Hodge 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 Chow group; Bloch-Beilinson conjectures; hypersurfaces A. Otwinowska, Remarques sur les groupes de Chow des hypersurfaces de petit degré, C. R. Acad. Sci. Paris Série I Math., 329 (1999), 51--56. (Equivariant) Chow groups and rings; motives, Hypersurfaces and algebraic geometry Remarks on Chow groups of hypersurfaces of low 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 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives Higher genus relative Gromov-Witten theory and double ramification 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 Weyl filtration; principal indecomposable modules; hyperalgebra; highest weights Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) On the G-filtration of principal indecomposable modules for hyperalgebra \(u_ n\) with quotients isomorphic to Weyl 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 abelian surfaces; \(K3\) surfaces; Hilbert modular forms; period domains Nagano, A; Shiga, H, Modular map for the family of abelian surfaces via elliptic K3 surfaces, Math. Nachr., 288, 89-114, (2014) Deformations of complex structures, Period matrices, variation of Hodge structure; degenerations, Theta functions and abelian varieties, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms Modular map for the family of abelian surfaces via elliptic \(K3\) 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 schemes of points on surfaces; algebraic cycles Parametrization (Chow and Hilbert schemes) The Chow of \(S^{[n]}\) and the universal subscheme
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; motivic cohomology; extraspecial \(p\)-groups N. Yagita. Chow ring of classifying spaces of extraspecial \(p\) groups. Recent progress in homotopy theory, Contemp. Math. 293 (2002) 397-409. Classifying spaces of groups and \(H\)-spaces in algebraic topology, Generalized (extraordinary) homology and cohomology theories in algebraic topology, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory Chow rings of classifying spaces of extraspecial \(p\)-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 vertex models; elliptic curves; polynomial equations Tracy, C.A., Embedded elliptic curves and the Yang-Baxter equation, Physica D, 16, 203, (1985) Qualitative properties of solutions to partial differential equations, Elliptic curves, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Theta functions and abelian varieties Embedded elliptic curves and the Yang-Baxter equations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves étale cohomology; crystalline cohomology; period map; Tate-module of a \(p\)-divisible group; differentials; elliptic curves CREW (R.) . - Universal extensions and p-adic periods of elliptic curves , Compositio Math., t. 73, 1990 , p. 107-119. Numdam | MR 91k:11045 | Zbl 0742.14013 \(p\)-adic cohomology, crystalline cohomology, Elliptic curves, Period matrices, variation of Hodge structure; degenerations, Arithmetic ground fields for curves, Étale and other Grothendieck topologies and (co)homologies, Formal groups, \(p\)-divisible groups Universal extensions and \(p\)-adic periods 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 Artin zeta function; higher-rank zeta function; Riemann hypothesis Zeta and \(L\)-functions in characteristic \(p\), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Higher-rank 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 Gauss map; dual variety; higher Gauss map; reflexivity; defect Projective techniques in algebraic geometry, \(n\)-folds (\(n>4\)), Grassmannians, Schubert varieties, flag manifolds, Low codimension problems in algebraic geometry On separable higher Gauss maps
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves flux compactifications; M-theory; F-theory String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Dimensional compactification in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects) \(G_4\) flux, algebraic cycles and complex structure moduli stabilization
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 surface; syzygy Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Algebraic theory of abelian varieties A remark on higher syzygies on abelian 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 quadratic fields; elliptic curves; rank; torsion group Aguirre, J., Dujella, A., Jukić Bokun, M., Peral, J.C.: High rank elliptic curves with prescribed torsion group over quadratic fields. Period. Math. Hungar. \textbf{68}, 222-230 (2014) Elliptic curves over global fields, Elliptic curves, Quadratic extensions High rank elliptic curves with prescribed torsion group over quadratic fields
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves construction of high-rank elliptic curves; Mordell-Weil group K. Nagao, Construction of high-rank elliptic curves, Kobe J. Math,11 (1994), 211--219. Elliptic curves over global fields, Elliptic curves Construction of high-rank 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 Beilinson regulator; Beilinson conjecture; moduli space for elliptic curves with level-N-structure A.\ A. Beilinson, Higher regulators of modular curves, Contemp. Math. 55 (1986), 1-34. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for curves, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Theta series; Weil representation; theta correspondences Higher regulators of modular curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cycles modulo rational equivalence; Chow group; hypersurface Voisin, C, Sur LES groupes de Chow de certaines hypersurfaces, C. R. Acad. Sci. Paris Sér. I Math., 322, 73-76, (1996) (Equivariant) Chow groups and rings; motives, Hypersurfaces and algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic cycles On Chow groups for certain 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 restricted Chow variety; Chow monoid; Euler characteristic; Euler series; toric varieties Elizondo J.: The Euler series of restricted Chow varieties. Compos. Math. 94(3), 297--310 (1994) Algebraic cycles, Parametrization (Chow and Hilbert schemes), Topological properties in algebraic geometry The Euler series of restricted Chow varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves lying on an abelian surface; Néron-Severi group; Humbert surface \beginbarticle \bauthor\binitsE. \bsnmKani, \batitleElliptic curves on Abelian surfaces, \bjtitleManuscripta Math. \bvolume84 (\byear1994), page 199-\blpage223. \endbarticle \OrigBibText E. Kani. Elliptic curves on abelian surfaces. Manuscripta Mathematica , 84:199-223, 1994. \endOrigBibText \bptokstructpyb \endbibitem Elliptic curves, Algebraic moduli of abelian varieties, classification, Coverings of curves, fundamental group Elliptic curves on abelian 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 modules of finite length; Grothendieck group; rational double point of a surface; resolution of singularities; Chow groups Srinivas, V., Modules of finite length and Chow groups of surfaces with rational double points, Ill. J. math., 31, 36-61, (1987) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Commutative rings and modules of finite generation or presentation; number of generators, Grothendieck groups, \(K\)-theory and commutative rings, Singularities in algebraic geometry Modules of finite length and Chow groups of surfaces with rational double 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 crystalline cohomology; modular forms Modular and Shimura varieties, \(p\)-adic cohomology, crystalline cohomology Higher weight modular forms and Galois representations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular elliptic curves; Hilbert modular forms; Heegner points; Birch and Swinnerton-Dyer conjecture Darmon, [Darmon and Logan 03] H.; Logan, A., Periods of Hilbert modular forms and rational points on elliptic curves, \textit{Int. Math. Res. Not.}, 1, 4, 2153-2180, (2003) Elliptic curves over global fields, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic aspects of modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Periods of Hilbert modular forms and rational points 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 Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Torsion 0-cycles with modulus on 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 Manes, Michelle, {\(\mathbb Q\)}-rational cycles for degree-2 rational maps having an automorphism, Proceedings of the London Mathematical Society. Third Series, 96, 3, 669-696, (2008) Global ground fields in algebraic geometry, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Arithmetic properties of periodic points, Arithmetic algebraic geometry (Diophantine geometry) \(\mathbb Q\)-rational cycles for degree-2 rational maps having an automorphism
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Galois representations; modular forms; Selmer group; Heegner cycles; Euler system; \(p\)-adic Abel-Jacobi map Elias, Y, Kolyvagin's method for Chow groups of kuga-Sato varieties over ring class fields, Ann. Math. Qué., 39, 147-167, (2015) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic aspects of modular and Shimura varieties, (Equivariant) Chow groups and rings; motives Kolyvagin's method for Chow groups of Kuga-Sato varieties over ring class 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 Ramification problems in algebraic geometry, Other algebraic groups (geometric aspects) Higher ramification loci over homogeneous spaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; abelian varieties; Bloch-Beilinson conjectures; Beauville conjecture; Murre conjecture Fu, B, Remarks on hard Lefschetz conjectures on Chow groups, Sci. China Math., 53, 105-114, (2010) Algebraic cycles, (Equivariant) Chow groups and rings; motives, Subvarieties of abelian varieties Remarks on hard Lefschetz conjectures on 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 elliptic curve; complex multiplication; abelian variety; isomorphic; ideal class; homomorphism ring Kani, E., \textit{products of CM elliptic curves}, Collect. Math., 62, 297-339, (2011) Complex multiplication and moduli of abelian varieties, Elliptic curves over global fields, Complex multiplication and abelian varieties, Algebraic moduli of abelian varieties, classification Products of CM 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 Chow group of algebraic quotient variety Vistoli A.: Chow groups of quotient varieties. J. Algebra 107, 410--424 (1987) Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations Chow groups of quotient 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 Colombo E., Ann. Mat. Pura Appl. 183 pp 291-- Moduli, classification: analytic theory; relations with modular forms, (Equivariant) Chow groups and rings; motives The Chow group of the moduli space of marked cubic 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 complex algebraic groups; orbits; twisted conjugation actions; twisted conjugacy classes; elliptic curves; connected semisimple algebraic groups; semistable holomorphic principal bundles Baranovsky, V.; Ginzburg, V., Conjugacy classes in loop groups and \(G\)-bundles on elliptic curves, Int. Math. Res. Not., 15, 733-751, (1996) Linear algebraic groups over the reals, the complexes, the quaternions, Elliptic curves, Conjugacy classes for groups Conjugacy classes in loop groups and \(G\)-bundles 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 Algebraic cycles; compact quaternionic Shimura fourfolds; poles of \(L\)-functions Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Galois representations, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic cycles, Modular and Shimura varieties Algebraic cycles on compact quaternionic Shimura fourfolds and poles of \(L\)-functions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher K-groups; elliptic curves; elliptic curve cryptography Ji, Q.; Qin, H., Higher K-groups of smooth projective curves over finite fie, Finite Fields and Their Applications, 18, 645-660, (2012) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Curves over finite and local fields, Finite ground fields in algebraic geometry, Computations of higher \(K\)-theory of rings, \(K\)-theory in geometry Higher \(K\)-groups of smooth projective 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 Chow forms; zero cycles; Grassmannians; toric varieties; flag varieties Elizondo, E. J. (2004).Chow varieties, the Euler-Chow series and the total coordinate ring Trascendental Aspects of Algebraic Cycles, 3--43. London Math. Soc. Lecture Note Ser., 313, Cambridge: Cambridge Univ. Press. Parametrization (Chow and Hilbert schemes), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry Chow varieties, the Euler-Chow series and the total coordinate ring
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher differentials on cyclic curves; basis for cohomology groups Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for curves, Cycles and subschemes Higher differentials on cyclic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves indecomposable vector bundle; holomorphic group action Sheaves and cohomology of sections of holomorphic vector bundles, general results, Homogeneous complex manifolds, Compact complex \(n\)-folds Low rank indecomposable vector bundles on certain compact complex manifolds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(SL_ 2\)-embedding; Chow ring; cohomology ring L. Moser-Jauslin, ''The Chow Rings of Smooth Complete SL(2)-Embeddings,'' Compos. Math. 82, 67--106 (1992). Parametrization (Chow and Hilbert schemes), \(3\)-folds The Chow rings of smooth complete \(SL(2)\)-embeddings
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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 Green's functions; Chow groups; elliptic curves; complex multiplication; Abel-Jacobi maps Mellit, A.: Higher Green's functions for modular forms. Ph. D. thesis, Rheinische Friedrich-Wilhelms-Universität Bonn (2008) Research exposition (monographs, survey articles) pertaining to number theory, Holomorphic modular forms of integral weight, Complex multiplication and moduli of abelian varieties, Algebraic cycles Higher Green's functions for modular forms
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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 factorial toric variety; Chow ring; pull-back; push-forward H. S. PARK, The Chow rings and GKZ-decompositions for (^-factorial toric varieties, Thoku Math J. 45 (1993), 109-145. Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Parametrization (Chow and Hilbert schemes), Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) The Chow rings and GKZ-decompositions for \(\mathbb{Q}\)-factorial toric varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves space of primitive Hodge cycles; Hodge class; Hodge conjecture for Fermat varieties N. Aoki, Some new algebraic cycles on Fermat varieties, J. Math. Soc. Japan 39 (1987), 385-396. Cycles and subschemes, Global ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects) Some new algebraic cycles on Fermat 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 Mumford-Tate conjecture; motives; abelian varieties Étale and other Grothendieck topologies and (co)homologies, Arithmetic ground fields for abelian varieties The Mumford-Tate conjecture for products 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 self-products of varieties; Albanese variety; \(K3\)-surfaces; Bloch's conjecture; zero-cycles; skew zero-cycles; Kummer surface C. Voisin, ''Remarks on zero-cycles on self-products of varieties'' in Moduli of Vector Bundles (Sanda, 1994; Kyoto 1994), Lecture Notes Pure Appl. Math. 179, Dekker, New York, 1996, 265--285. Algebraic cycles Remarks on zero-cycles of self-products of 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 Hodge group; CM-field; complex multiplication; abelian variety; degenerate CM-type; exceptional cycle; field of moduli [10] H. Yanai, `` Hodge cycles and unramified class fields {'', in \(Class field theory--its centenary and prospect (Tokyo, 1998)\), Adv. Stud. Pure Math., vol. 30, Math. Soc. Japan, Tokyo, 2001, p. 307-312. &MR 18 | &Zbl 1025.} Complex multiplication and moduli of abelian varieties, Class field theory, Other abelian and metabelian extensions, Complex multiplication and abelian varieties Hodge cycles and unramified class fields
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torus action; Cox ring; Chow quotient; quadrics; tropical resolution Hendrik Bäker, Jürgen Hausen, and Simon Keicher, On Chow quotients of torus actions, arXiv:1203.3759v1 (2012), available at http://arxiv.org/pdf/1203.3759.pdf. Geometric invariant theory, Group actions on varieties or schemes (quotients) On Chow quotients of torus actions
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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 Florian Breuer, The André-Oort conjecture for products of Drinfeld modular curves, J. Reine Angew. Math. 579 (2005), 115 -- 144. Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc. The André-Oort conjecture for products of Drinfeld 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 surfaces; positive characteristic; automorphism group schemes Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Shimura varieties; Eisenstein series; Siegel-Weil formula; explicit description of the cup product of the Betti cohomology classes; modular symbols; intersection numbers; Fourier coefficients Kudla, S., \textit{algebraic cycles on Shimura varieties of orthogonal type}, Duke J. Math., 86, 39-78, (1997) Cohomology of arithmetic groups, Modular and Shimura varieties, Algebraic cycles, Arithmetic aspects of modular and Shimura varieties Algebraic cycles on Shimura varieties of orthogonal type
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Some new Fano varieties with a multiplicative Chow-Künneth decomposition
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; toric variety; piecewise polynomial function Toric varieties, Newton polyhedra, Okounkov bodies, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Syzygies, resolutions, complexes and commutative rings, Polytopes and polyhedra Equivariant Chow cohomology of nonsimplicial toric varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves dominant morphism; integral curve; relative Chow group; zero-cycle; admissible quadric bundles J.-L. Colliot-Thélène, A. Skorobogatov, Groupe de Chow des zéro-cycles sur les fibrés en quadriques. K-Theory 7(5), 477-500 (1993) Parametrization (Chow and Hilbert schemes), Algebraic cycles, Arithmetic ground fields for surfaces or higher-dimensional varieties, Quadratic forms over global rings and fields Chow groups of zero cycles on pencils of quadrics
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; regular local rings Regular local rings, (Equivariant) Chow groups and rings; motives Chow groups on complete regular local rings. II
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves decomposition theorem; Chow ring; decomposition of the small diagonal --------, Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces, Geom. Topol. 16 (2012), 433--473. (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, fibrations in algebraic geometry Chow rings and decomposition theorems for \(K3\) surfaces and Calabi-Yau hypersurfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves J. Park, \textsl{Algebraic cycles and additive dilogarithm}, Int. Math. Res. Not. IMRN, \textbf{2007}, no. 18, Art. ID rnm067, 19 pp. DOI 10.1093/imrn/rnm067; zbl 1124.14013; MR2358889; arxiv math/0607220 Algebraic cycles, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), \(K\)-theory of global fields, Symbols and arithmetic (\(K\)-theoretic aspects) Algebraic cycles and additive dilogarithm
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Elliptic curves over local fields, Brauer groups of schemes Unramified Brauer groups in the function fields of local elliptic curves with non-decomposable multiplicative reduction
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves 3-adic étale cohomology; torsion cohomology; 3-adic Abel-Jacobi map Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies An example of algebraic cycles with nontrivial Abel-Jacobi images
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves unipotent fundamental groups; algebraic cycles; Maurer-Cartan equation; Massey products Algebraic cycles, Motivic cohomology; motivic homotopy theory Algebraic cycles satisfying the Maurer-Cartan equation and the unipotent fundamental group 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 The relative Bogomolov conjecture for fibered products of elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves central simple algebras; algebraic cycles; Severi-Brauer varieties; generic division algebra; Chow group Karpenko, N. A., Torsion in \(\operatorname{CH}^2\) of Severi-Brauer varieties and indecomposability of generic algebras, Manuscripta Math., 88, 1, 109-117, (1995) Algebraic cycles, Finite-dimensional division rings, \(K\)-theory of schemes, Noncommutative algebraic geometry, Parametrization (Chow and Hilbert schemes), Brauer groups of schemes Torsion in \(\text{CH}^ 2\) of Severi-Brauer varieties and indecomposability of generic 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 F. Hazama, Hodge cycles on abelian varieties with complex multiplication by cyclic CM-fields, J. Math. Soc. Univ. Tokyo 10 (2003), 581--598. Transcendental methods, Hodge theory (algebro-geometric aspects), Complex multiplication and abelian varieties Hodge cycles on Abelian varieties with complex multiplication by cyclic CM-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 Birch-Swinnerton-Dyer conjecture; Families of elliptic curves with large Tate-Shafarevich groups; Selmer group Kramer, K., A family of semistable elliptic curves with large Tate-Shafarevich groups, Proc. Amer. Math. Soc., 89, 379-386, (1983) Families, moduli of curves (algebraic), Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) A family of semistable elliptic curves with large Tate-Shafarevitch groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; modular forms; \(p\)-adic cohomology; zeta function; elliptic surfaces Elliptic curves over global fields, Holomorphic modular forms of integral weight, \(p\)-adic cohomology, crystalline cohomology, Elliptic surfaces, elliptic or Calabi-Yau fibrations On Tate's conjecture for the elliptic modular surface of level \(N\) over a prime field of characteristic \(1\mod N\)
| 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 surface; fibre product; standard conjecture; resolution of indeterminacies; Gysin map; Clemens-Schmid sequence Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(4\)-folds On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves codimension one singularity; homological invariants; principally polarized abelian variety; theta divisors Complex surface and hypersurface singularities, Analytic theory of abelian varieties; abelian integrals and differentials A homological criterion for reducibility of analytic spaces, with application to characterizing the theta divisor of a product of two general principally polarized 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 Algebraic cycles, (Equivariant) Chow groups and rings; motives Lectures on algebraic cycles and Chow groups
| 0 |
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