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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; twist; 2-descent; Selmer group; rank Elliptic curves over global fields, Elliptic curves On positive proportion of rank-zero twists of elliptic curves over \(\mathbb{Q}\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves period-index problem; abelian variety Arithmetic ground fields for curves, Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Elliptic curves, Abelian varieties of dimension \(> 1\) There are genus one curves of every index over every infinite, finitely generated 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 pure sheaves; locally Cohen-Macaulay curves; Hilbert schemes Plane and space curves, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Parametrization (Chow and Hilbert schemes), Vector bundles on curves and their moduli Double lines on quadric 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 elliptic curve cryptosystem; proxy signature; digital multi-signature; blind signature Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves Proxy blind signature based on elliptic curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Gennaro, V; Franco, D, Factoriality and Néron-Severi groups, Commun. Contemp. Math., 10, 745-764, (2008) Singularities in algebraic geometry, Deformations of singularities, Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Milnor fibration; relations with knot theory Factoriality and Néron-Severi 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 coherent sheaves; finite length modules; Grothendieck ring of varieties; Hilbert scheme of points; torus actions Stacks and moduli problems, Parametrization (Chow and Hilbert schemes) On coherent sheaves of small length on the affine plane
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert and Quot schemes; \(K\)-theory; Segre and Verlinde series Parametrization (Chow and Hilbert schemes), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry The virtual \(K\)-theory of Quot schemes of 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 initial ideals; Hilbert schemes; lex-segment ideals M. Roggero - L. Terracini, Ideals with an assigned initial ideal, Int. Math. Forum, 5 (53-56) (2010), pp. 2731-2750. Zblpre05899787 MR2733340 Polynomial rings and ideals; rings of integer-valued polynomials, Parametrization (Chow and Hilbert schemes) Ideals with an assigned initial ideals
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Koblitz curves; Frobenius endomorphism; scalar multiplication; \(\tau\)-adic expansions; non-adjacent-forms; digit sets; point halving; efficient implementation Avanzi, RM; Heuberger, C; Prodinger, H, Redundant \({\tau }\)-adic expansions i: non-adjacent digit sets and their applications to scalar multiplication, Des. Codes Cryptogr., 58, 173-202, (2011) Cryptography, Radix representation; digital problems, Elliptic curves Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to 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 ample vector bundles; subvarieties; positive properties Ottem, John Christian, On subvarieties with ample normal bundle, J. Eur. Math. Soc. (JEMS), 18, 11, 2459-2468, (2016) Algebraic cycles, Embeddings in algebraic geometry On subvarieties with 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 elliptic curve primality proving Morain, F.: Building cyclic elliptic curves modulo large primes, Lecture notes in comput. Sci. 547, 328-336 (1991) Elliptic curves, Cryptography, Primality Building cyclic elliptic curves modulo large primes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves indecomposable cycles; elliptic surfaces Algebraic cycles, Elliptic surfaces, elliptic or Calabi-Yau fibrations A simple construction of regulator indecomposable higher Chow cycles in 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 Chow group; hyperelliptic curve; Jacobian Collino, A., Fakhruddin, N.: Indecomposable higher Chow cycles on Jacobians. Math. Z. 240(1), 111--139 (2002) (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Jacobians, Prym varieties Indecomposable higher Chow cycles on Jacobians
| 1 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 class map; Chow group; decomposable cycles; indecomposable cycles; product of three elliptic curves Gordon, B.B., Lewis, J.D.: Indecomposable higher Chow cycles. In: The Arithmetic and Geometry of Algebraic Cycles (Banff, AB, 1998), vol. 548, pp. 193-224. Nato Science Series C: - Mathematical and Physical Sciences, vol. 548. Kluwer Academic Publication, Dordrecht (2000) Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles, Parametrization (Chow and Hilbert schemes), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Indecomposable higher Chow cycles
| 1 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; higher Chow groups Algebraic cycles, Higher symbols, Milnor \(K\)-theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry Indecomposable higher Chow 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 real regulator; regulator indecomposable; higher Chow group; indecomposable cycle Turkmen I.\ U., Regulator indecomposable cycles on a product of elliptic curves, Canad. Math. Bull. 56 (2013), no. 3, 640-646. Algebraic cycles Regulator indecomposable cycles on a product of elliptic curves
| 1 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves compatibility for products; cohomology theories; Bloch's higher Chow groups; bivariant cycle cohomology; motivic cohomology; étale cohomology Weibel C. , Products in higher Chow groups and motivic cohomology , in: Algebraic K -theory (Seattle, WA, 1997) , Proceedings of Symposia in Pure Math. , 67 , 1999 , pp. 305 - 315 . MR 1743246 | Zbl 0942.19003 Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Relations of \(K\)-theory with cohomology theories, \(K\)-theory and homology; cyclic homology and cohomology Products in higher Chow groups and motivic 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 group; local field Andreas Rosenschon and V. Srinivas, Algebraic cycles on products of elliptic curves over \?-adic fields, Math. Ann. 339 (2007), no. 2, 241 -- 249. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Local ground fields in algebraic geometry, Elliptic curves over local fields Algebraic cycles on products of elliptic curves 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 Deligne cohomology; higher cycle (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Nonvanishing of external products 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 Chow groups; elliptic curves; \(K\)-theory sheaf Michael Spiess, On indecomposable elements of \?\(_{1}\) of a product of elliptic curves, \?-Theory 17 (1999), no. 4, 363 -- 383. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Elliptic curves, Local ground fields in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On indecomposable elements of \(K_1\) of a product 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 Schoen, C.: The Chow group modulo \(\ell \) for the triple product of a general elliptic curve, Asian J. Math. 4, 987-996 (2000) (Equivariant) Chow groups and rings; motives, Elliptic curves over global fields, \(3\)-folds The Chow group modulo \(l\) for the triple product of a general elliptic curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Motivic cohomology; motivic homotopy theory, Homological methods in commutative ring theory Product structures in motivic cohomology and 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 intersection numbers; Kuga torus bundle; algebraic cycle; quaternionic modular surface; Hirzebruch-Zagier cycles Cycles and subschemes, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Algebraic cycles of higher weight and modular forms
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves smooth I-adic; Chow group modulus; higher-dimensional class field theory; ramification theory; refined Artin theory M. Kerz and S. Saito, \textsl{Chow group of \(0\)-cycles with modulus and higher-dimensional class field theory}, Duke Math. J., \textbf{165}, (2016), no. 15, 2811--2897. DOI 10.1215/00127094-3644902; zbl 06656236; MR3557274; arxiv 1304.4400 Coverings of curves, fundamental group, Ramification problems in algebraic geometry Chow group of 0-cycles with modulus and higher-dimensional class field 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 higher algebraic \(K\)-theory; higher Chow groups; bivariant cycle cohomology theory; Borel-Moore homology A. A. Suslin, ''Higher Chow groups and etale cohomology,'' in Cycles, Transfers, and Motivic Homology Theories, Princeton, NJ: Princeton Univ. Press, 2000, vol. 143, pp. 239-254. (Equivariant) Chow groups and rings; motives, Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Higher Chow groups and 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 duality pairing; higher Chow groups; complete intersections (Equivariant) Chow groups and rings; motives, Duality in algebraic topology, Classical real and complex (co)homology in algebraic geometry A duality pairing between cohomology and 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 Chow groups of codimension \(p\) cycles; Grassmannian homology complex Gerdes, W., The linearization of higher Chow cycles of dimension one, Duke Math. J., 62, 105-129, (1991) Parametrization (Chow and Hilbert schemes), (Co)homology theory in algebraic geometry, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry The linearization of higher Chow cycles of dimension one
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; elliptic quartic curves; Plücker coordinates Elliptic curves, Parametrization (Chow and Hilbert schemes) On Chow-forms of elliptic quartic 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; Jacobians; regulator; adjunction Algebraic cycles, Torelli problem Polygonal cycles in higher Chow groups of Jacobians
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; group action Riemann-Roch theorems, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles Higher Chow groups of varieties with group action
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher Chow groups; rational curves; abelian surfaces Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Varieties over finite and local fields, (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry Higher Chow cycles on abelian surfaces and a non-Archimedean analogue of the Hodge-\(\mathcal{D}\)-conjecture
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher Chow group; Abel-Jacobi map; polylogarithms; Beĭlinson regulator; Borel's theorem Kerr, Matt and Yang, Yu, An explicit basis for the rational higher {C}how groups of abelian number fields, Annals of K-Theory, 3, 2, 173-191, (2018) Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) An explicit basis for the rational higher Chow groups of abelian number fields
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Tate conjecture; Hilbert modular surfaces; Shimura varieties Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Representation-theoretic methods; automorphic representations over local and global fields, Galois representations, Étale and other Grothendieck topologies and (co)homologies, Modular and Shimura varieties Algebraic cycles on a product of two Hilbert modular 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 Hodge conjecture; higher Chow group; Deligne cohomology Asakura, M.: On \(d\log \) of elliptic surface minus singular fibers, preprint (2006). arXiv:math/0511190v4 Transcendental methods, Hodge theory (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Hodge-type conjecture 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 Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Unramified cohomology in a product with an elliptic curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; Hilbert symbol; elliptic curves; p-adic fields T. Takemoto, Zero-cycles on products of elliptic curves over \(p\)-adic fields, Acta Arith. 149 (2011), no. 3, 201--214. Elliptic curves over local fields, (Equivariant) Chow groups and rings; motives Zero-cycles on products of elliptic curves 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 elliptic curves; cycle map; local fields Hiranouchi, Toshiro; Hirayama, Seiji, On the cycle map for products of elliptic curves over a \textit{p}-adic field, Acta Arith., 157, 2, 101-118, (2013), MR 3007290 Elliptic curves over local fields, (Equivariant) Chow groups and rings; motives, Higher symbols, Milnor \(K\)-theory On the cycle map for products of elliptic curves over a \(p\)-adic field
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian variety; Tate module; real multiplication; complex multiplication; Galois representation; deformation Hida, H, Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication, J. Am. Math. Soc., 26, 853-877, (2013) Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Galois representations, Arithmetic ground fields for abelian varieties Local indecomposability of Tate modules of non-CM abelian varieties 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 higher Chow groups; abel-jacobi map; admissible chains Semialgebraic sets and related spaces, (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow 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 biextensions; higher Chow groups; algebraic cycles; incidence equivalence; Poincaré biextension; Abel-Jacobi map; Deligne-Beilinson cohomology; torsors; Griffiths' conjecture S. Müller-Stach, \(\mathbb{C}^{*}\)-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles , \(K\)-Theory 9 (1995), 395-406. Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles \(\mathbb{C}^*\)-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; additive higher Chow group; Witt vectors; de Rham-Witt complex A. Krishna and J. Park, \textsl{On additive higher Chow groups of affine schemes}, Doc. Math. \textbf{21}, (2016), 49--89. https://www.elibm.org/article/10000430; zbl 1357.14014; MR3465108 Algebraic cycles, Witt vectors and related rings, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On additive higher Chow groups of affine 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 (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects) A construction of surfaces with large 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 higher Chow groups; linear varieties; Künneth spectral sequences; motivic cohomology; Künneth formula R Joshua, Algebraic \(K\)-theory and higher Chow groups of linear varieties, Math. Proc. Cambridge Philos. Soc. 130 (2001) 37 \(K\)-theory of schemes, (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory Algebraic \(K\)-theory and higher Chow groups of linear varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; algebraic cycle; regulator map (Equivariant) Chow groups and rings; motives, Algebraic cycles Additive higher Chow group and module of absolute Kähler differentials: a research announcement
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mayer-Vietoris; localization; functoriality; projective bundle formula; rational Chern classes; higher Chow groups; algebraic cycles Levine, Marc, Bloch's higher Chow groups revisited, Astérisque, 226, 10, 235-320, (1994) Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Bloch's higher Chow groups revisited
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves comonad; simplicial object; simplicial algebra; free simplicial resolution; cosimplicial scheme Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads, Algebraic cycles A cotriple construction of a simplicial algebra used in the definition of 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 higher Chow groups; Riemann-Roch theorem Bloch, S., Algebraic cycles and higher \textit{K}-theory, Adv. Math., 61, 267-304, (1986) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Riemann-Roch theorems, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Parametrization (Chow and Hilbert schemes) Algebraic cycles and higher 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 Arakelov geometry; higher Chow groups; Beilinson regulator; intersection theory; Deligne cohomology José Ignacio Burgos Gil and Elisenda Feliu, Higher arithmetic Chow groups, Comment. Math. Helv. 87 (2012), no. 3, 521 -- 587. Arithmetic varieties and schemes; Arakelov theory; heights, (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Higher arithmetic 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 surface over local field; Chow group; syntomic cohomology Yamazaki, T.: Torsion zero-cycles on a product of canonical lifts of elliptic curves. K-Theory 31(4), 289-306 (2004) Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry, Galois cohomology, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Torsion zero-cycles on a product of canonical lifts 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 indecomposable motivic cohomology classes; algebraic \(K\)-theory; higher Chow groups Müller-Stach, S, Constructing indecomposable motivic cohomology classes on algebraic surfaces, J. Algebraic Geom., 6, 513-543, (1997) Special surfaces, Generalizations (algebraic spaces, stacks), Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Co)homology theory in algebraic geometry Constructing indecomposable motivic cohomology classes on algebraic surfaces
| 1 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 theory of abelian varieties Nondivisible cycles on products of very general 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 cycle; abelian variety; Chow ring; symmetric product; Jacobian (Equivariant) Chow groups and rings; motives, Algebraic theory of abelian varieties, Algebraic cycles, Arithmetic ground fields for curves Algebraic cycles on symmetric products and abelian varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves regulator; higher arithmetic Chow groups Burgos Gil, José Ignacio; Feliu, Elisenda; Takeda, Yuichiro, On Goncharov's regulator and higher arithmetic Chow groups, Int. Math. Res. Not. IMRN, 1073-7928, 1, 40-73, (2011) Arithmetic varieties and schemes; Arakelov theory; heights, (Equivariant) Chow groups and rings; motives On Goncharov's regulator and higher arithmetic 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 Divisors, linear systems, invertible sheaves, (Equivariant) Chow groups and rings; motives, Elliptic curves over local fields, Abelian varieties of dimension \(> 1\), Elliptic curves, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Polylogarithms and relations with \(K\)-theory Zero cycles on a product of elliptic curves over a \(p\)-adic field
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher Chow cycle; family of quartics; higher Chow group; singular Kummer surface (Equivariant) Chow groups and rings; motives, Algebraic cycles, Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, Motivic cohomology; motivic homotopy theory Indecomposable cycles on special quartics 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 Noether-Lefschetz loci; Hurwitz spaces R. Kloosterman, Higher Noether-Lefschetz loci for Elliptic Surfaces, accepted by J. Differential Geom., available at Elliptic surfaces, elliptic or Calabi-Yau fibrations, Moduli, classification: analytic theory; relations with modular forms Higher Noether-Lefschetz loci of elliptic surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow variety; embedding; regular cycles; functor of schemes Algebraic cycles, Parametrization (Chow and Hilbert schemes), General theory of categories and functors A universal property of the Cayley-Chow space of algebraic cycles
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves 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 higher Chow groups with modulus; nilpotent higher Chow groups; homotopy invariance Algebraic cycles, (Equivariant) Chow groups and rings; motives Cube invariance of higher Chow groups 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 syzygy modules over graded hypersurface rings; rank Herzog, J., Sanders, H.: Indecomposable syzygy-modules of high rank over hypersurface rings. Preprint (1986), to appear in J. Pure Appl. Alg. Homological methods in commutative ring theory, Polynomial rings and ideals; rings of integer-valued polynomials, Relevant commutative algebra, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Indecomposable syzygy-modules of high rank over hypersurface rings
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 functions; Chow form; modular forms Theta functions and curves; Schottky problem, Holomorphic modular forms of integral weight, Families, moduli of curves (analytic), Elliptic curves, Theta functions and abelian varieties, (Equivariant) Chow groups and rings; motives On the Chow-forms of elliptic normal curves of degree 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 moduli space; stable curve; analytic cycles; Betti number Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Singularities of curves, local rings, Families, moduli of curves (analytic), Special algebraic curves and curves of low genus Higher cycles on the moduli space of stable 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 Gazaki type filtration; higher Chow groups of zero cycles; Somekakawa type \(K\)-group; étale cycle map; reciprocity map Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Local ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\) A filtration on the higher Chow group of zero cycles on an abelian 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 functoriality; Gersten resolution; Milnor \(K\)-theory Philippe Elbaz-Vincent, A short introduction to higher Chow groups, Transcendental aspects of algebraic cycles, London Math. Soc. Lecture Note Ser., vol. 313, Cambridge Univ. Press, Cambridge, 2004, pp. 171 -- 196. (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry A short introduction to 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 (Equivariant) Chow groups and rings; motives, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Higher Chow groups with modulus and relative Milnor \(K\)-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 level; higher Chow groups; mixed Hodge structure; hypersurfaces Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles Higher Chow groups and the Hodge-\({\mathcal D}\)-conjecture
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves 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 exterior product homomorphism, of Chow groups C. Schoen, ''On certain exterior product maps of Chow groups,'' Math. Res. Lett., vol. 7, iss. 2-3, pp. 177-194, 2000. (Equivariant) Chow groups and rings; motives, Algebraic cycles On certain exterior product maps of 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 isogeny; abelian surface Isogeny, Elliptic curves Abelian surfaces and 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 toric variety; Chow ring; simplicial fan; intersection theory Toric varieties, Newton polyhedra, Okounkov bodies, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Products on the Chow rings for 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 motivic cohomology classes; cubic fourfolds; Abel-Jacobi map; regulator map; quartic surface -, Indecomposable motivic cohomology classes on quartic surfaces and on cubic fourfolds, in Algebraic \(K\)-theory and Application (Eds. H. Bass et al.), World Scientific, 1999, pp. 370-402. Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), \(4\)-folds, Special surfaces, Algebraic cycles Indecomposable motivic cohomology classes on quartic surfaces and on cubic fourfolds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Del Pezzo varieties; toric Fano varieties; vector bundles Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Toric varieties, Newton polyhedra, Okounkov bodies, Fano varieties Existence of indecomposable rank two vector bundles on higher dimensional 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 elliptic surfaces; adjunction theory; hyperplane sections Adjunction problems, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(3\)-folds On the extendability of elliptic surfaces of rank two and higher
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(l\)-adic Abel-Jacobi map; group of codimension-\(n\) cycles modulo rational equivalence; filtration; \(l\)-adic étale cohomology; cycle map; function field in one variable W. Raskind, ''Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups,'' Duke Math. J., vol. 78, iss. 1, pp. 33-57, 1995. Algebraic cycles, Local ground fields in algebraic geometry, Parametrization (Chow and Hilbert schemes), Étale and other Grothendieck topologies and (co)homologies Higher \(l\)-adic Abel-Jacobi mappings and filtrations 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 regulators; Beilinson's regulator; absolute Hodge cohomology; differential cohomology; differential algebraic \(K\)-theory; Lott's conjecture Bunke, U.; Tamme, G., Regulators and cycle maps in higher-dimensional differential algebraic \textit{K}-theory, Adv. Math., 285, 1853-1969, (2015) Twisted \(K\)-theory; differential \(K\)-theory, Transcendental methods, Hodge theory (algebro-geometric aspects) Regulators and cycle maps in higher-dimensional differential algebraic \(K\)-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 higher Chow group; arithmetic normal function; indecomposable cycles Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry Indecomposable cycles and arithmetic normal 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 Hilbert modular surfaces; Tate cycles; Hilbert modular forms; cycle class map doi:10.1006/jnth.1999.2446 Modular and Shimura varieties, Algebraic cycles, Moduli, classification: analytic theory; relations with modular forms, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Tate cycles on a product of two Hilbert modular 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Arithmetic ground fields for curves Extending elliptic curve Chabauty to higher genus 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 zero-cycle; Chow group; modular curve Algebraic cycles, Varieties over global fields, Global ground fields in algebraic geometry, Modular and Shimura varieties Zero-cycles on self-product 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 formal groups; Jacobian; plane curve Elliptic cohomology, Jacobians, Prym varieties, Plane and space curves, Formal groups, \(p\)-divisible groups, Bordism and cobordism theories and formal group laws in algebraic topology Toward higher chromatic analogs of elliptic 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 moving lemma; higher Chow groups Spencer Bloch, ``The moving lemma for higher Chow groups'', J. Algebr. Geom.3 (1994) no. 3, p. 537-568 Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Cycles and subschemes The moving lemma 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 Chow motif; Tate motif; Lefschetz motif; homogeneous space; Bruhat decomposition; Grassmannian of d-planes; higher Chow groups Köck, B., Chow motif and higher Chow theory of \(G / P\), Manuscripta Math., 70, 4, 363-372, (1991) Generalizations (algebraic spaces, stacks), Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations Chow motif and higher Chow theory of \(G/P\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli space; cycle; algebraic curve; extremal ray Chen, D; Coskun, I, Extremal higher codimension cycles on moduli spaces of curves, Proc. Lond. Math. Soc., 111, 181-204, (2015) Families, moduli of curves (algebraic), Algebraic cycles, Minimal model program (Mori theory, extremal rays) Extremal higher codimension cycles on moduli spaces 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 infinite symmetric products; hypercube conjecture; Fourier transform; Chow homology; Chow rings; Chow cohomology; eigenvalues of an abelian variety Kimura, S.; Vistoli, A., Chow rings of infinite symmetric products, Duke Math. J., 85, 411-430, (1996) Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties Chow rings of infinite 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 conjecture of Beilinson and Bloch; rank of the Griffiths group; smooth projective variety over a number field; order of vanishing of an L-function; elliptic curves J. Buhler, C. Schoen, and J. Top, ''Cycles, \(L\)-functions and triple products of elliptic curves,'' J. reine angew. Math., vol. 492, pp. 93-133, 1997. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Varieties over global fields, Algebraic cycles, Global ground fields in algebraic geometry Cycles, \(L\)-functions and triple 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 bound properties on maximal Cohen-Macaulay modules; henselian ring; Auslander-Reiten quivers; Gorenstein isolated singularity Popescu, D., Roczen, M.: Indecomposable Cohen-Macaulay modules and irreducible maps. Compositio Math.76, 277--294 (1990) Cohen-Macaulay modules, Singularities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Henselian rings Indecomposable Cohen-Macaulay modules and irreducible 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 modular elliptic curve; Chow group of zero-cycles; cycle map DOI: 10.1215/S0012-7094-96-08514-2 Parametrization (Chow and Hilbert schemes), Elliptic curves, (Equivariant) Chow groups and rings; motives, Arithmetic ground fields for curves, Modular and Shimura varieties, Elliptic curves over global fields Torsion zero-cycles on the self-product of a modular elliptic curve
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves homotopy of Chow varieties; \(\ell\)-adic Lawson homology groups; analytic Lawson homology groups; codimension 1 cycles; algebraic suspension Friedlander, E. M., \textit{algebraic cycles, Chow varieties, and lawson homology}, Compositio Math., 77, 55-93, (1991) (Co)homology theory in algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic cycles Algebraic cycles, Chow varieties, and Lawson homology
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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 Bloch groups; higher Chow groups; dilogarithm H. Gangl and S. Mueller-Stach, \textit{Polylogarithmic identities in cubical higher Chow groups}, in \textit{Algebraic K-Theory. Proceedings of Symposia in Pure Mathematics}\textbf{67}, AMS, Providence, RI, U.S.A (1999) 25. (Equivariant) Chow groups and rings; motives, \(K\)-theory of global fields, Applications of methods of algebraic \(K\)-theory in algebraic geometry Polylogarithmic identities in cubical 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 additive Chow groups; projective bundle formula; blow-up formula; Borel-Moore theory A. Krishna and M. Levine, \textsl{Additive higher Chow groups of schemes}, J. Reine Angew. Math., \textbf{619}, (2008), 75--140. DOI 10.1515/CRELLE.2008.041; zbl 1158.14009; MR2414948; arxiv math/0702138 (Equivariant) Chow groups and rings; motives Additive higher Chow groups of schemes
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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 torsion subgroup in the Chow group; zero cycles; elliptic modular surface; Kummer surface; modular elliptic curve Andreas Langer, 0-cycles on the elliptic modular surface of level 4, Tohoku Math. J. (2) 50 (1998), no. 2, 291 -- 302. Algebraic cycles, Modular and Shimura varieties, (Equivariant) Chow groups and rings; motives, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Arithmetic aspects of modular and Shimura varieties 0-cycles on the elliptic modular surface of level 4
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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 minimal free resolution of homogeneous coordinate ring; elliptic ruled surface; very ample line bundle; adjoint bundle; Koszul cohomology; cohomology vanishings Gallego, F.J.; Purnaprajna, B.P., Higher syzygies of elliptic ruled surfaces, J. Algebra, 186, 626-659, (1996) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Vanishing theorems in algebraic geometry Higher syzygies of elliptic ruled 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 higher Chow group; motivic cohomology Satoshi Kondo & Seidai Yasuda, ``On two higher Chow groups of schemes over a finite field.'', Doc. Math.20 (2015), p. 737-752 Motivic cohomology; motivic homotopy theory, Homotopy theory and fundamental groups in algebraic geometry, (Equivariant) Chow groups and rings; motives On two higher Chow groups of schemes over a finite field
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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 units; modular elliptic surfaces; modular functions; cubic fields; regulators Cubic and quartic extensions, Elliptic and modular units, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Modular elliptic surfaces and cyclic cubic 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 Galois representation; Hilbert modular forms; modular Shimura varieties; complex multiplication Serre, J.-P.: Modular forms of weight one and Galois representations. In: Algebraic number fields: \(L\)-functions and Galois properties (Proceedings of Symposium, University of Durham, Durham, 1975), pp. 193-268, Academic Press, London (1977) Galois representations, Arithmetic aspects of modular and Shimura varieties, Arithmetic ground fields for abelian varieties, Modular and Shimura varieties Local indecomposability of Hilbert modular Galois representations
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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 one-cycles; algebraic equivalence; elliptic modular threefolds; complex multiplication C. Schoen, Complex multiplication cycles on elliptic modular threefolds, Duke Math. J. 53 (1986), no. 3, 771-794. \(3\)-folds, (Equivariant) Chow groups and rings; motives, Complex multiplication and abelian varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Complex multiplication cycles on elliptic modular 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 elliptic curve; group of 0-cycles; Flach's finiteness theorem; Selmer group; complex multiplication; higher \(p\)-adic Abel-Jacobi map A. Langer and W. Raskind, 0-cycles on the selfproduct of a CM-elliptic curve over \(\Q\), J. Reine Angew. Math. 516 (1999), 1--26. Varieties over global fields, Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, (Equivariant) Chow groups and rings; motives 0-cycles on the self-product of a CM elliptic curve over \(\mathbb{Q}\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Galois representations; open image theorem Lombardo, D.: An explicit open image theorem for products of elliptic curves. (January 2015) Galois representations, Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\) An explicit open image theorem for products of elliptic curves
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Krishna, A; Park, J, DGA-structure on additive higher Chow groups, Int. Math. Res. Not., 2015, 1-54, (2015) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry DGA-structure on additive 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 Bloch, Spencer; Esnault, Hélène, An additive version of higher Chow groups, Ann. Sci. École Norm. Sup. (4), 36, 3, 463-477, (2003) Motivic cohomology; motivic homotopy theory, Higher symbols, Milnor \(K\)-theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) An additive version of higher Chow groups.
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