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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 fat base point; ample line bundle; higher-order embeddings; cyclic coverings; linear systems of plane curves Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves, Coverings in algebraic geometry Cyclic coverings and higher order embeddings of algebraic varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Abel-Jacobi map; higher Chow group; regulator map; absolute Hodge cohomology Kerr M. and Lewis J.\ D., The Abel-Jacobi map for higher Chow groups, II, Invent. Math. 170 (2007), no. 2, 355-420. 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. 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 pushforward homomorphism; theta divisor; Jacobian varieties; Chow groups; higher Chow groups Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Algebraic moduli problems, moduli of vector bundles, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) On the closed embedding of the product of theta divisors into product of Jacobians and Chow groups
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher Chow groups; equivariant Chow groups; motives; equivariant \(K\)-theory Applications of methods of algebraic \(K\)-theory in algebraic geometry, Riemann-Roch theorems, Algebraic cycles, Equivariant \(K\)-theory Equivariant \(K\)-theory and higher Chow groups of 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 elliptic curves; K-theory; zeta functions; higher regulators S. Bloch, \textit{Higher regulators, algebraic K- theory and zeta functions of elliptic curves}, Volume 11 of CRM Monograph Series, AMS, Providence, RI, U.S.A. (2000). Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Computations of higher \(K\)-theory of rings, Research exposition (monographs, survey articles) pertaining to \(K\)-theory, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Higher regulators, algebraic \(K\)-theory, and zeta functions 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 motivic cohomology; Brauer group; Roĭtman's theorem Colliot-Thélène, J.-L.: Unramified cohomology, birational invariants and the Gersten conjecture. Proc. Sympos. Pure Math. vol. 58, Part 1. American Mathematical Society, Providence (1995) Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Brauer groups of schemes, Motivic cohomology; motivic homotopy theory The Brauer group and indecomposable \((2,1)\)-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 elliptic curves; Weil pairing; cryptography Elliptic curves, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) On cycles of pairing-friendly 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 additive higher Chow groups; Milnor $K$-groups Higher symbols, Milnor \(K\)-theory, Algebraic cycles A vanishing theorem of 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 motivic cohomology; higher Chow group; Hodge theory Lewis J.\ D., A note on indecomposable motivic cohomology classes, J. reine angew. Math. 485 (1997), 161-172. Parametrization (Chow and Hilbert schemes), Generalizations (algebraic spaces, stacks), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A note on indecomposable motivic cohomology classes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Brauer groups; indecomposable division algebras; noncrossed products; ramification; function fields of smooth curves; non-crossed product central division algebras; exponents; indices; periods; tensor products of central algebras E. Brussel, K. McKinnie, and E. Tengan, Indecomposable and noncrossed product division algebras over function fields of smooth \?-adic curves, Adv. Math. 226 (2011), no. 5, 4316 -- 4337. Finite-dimensional division rings, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Brauer groups (algebraic aspects) Indecomposable and noncrossed product division algebras over function fields of smooth \(p\)-adic 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 cohomology; Fermat curve; Honda vector Elliptic cohomology, Jacobians, Prym varieties, Bordism and cobordism theories and formal group laws in algebraic topology Toward higher chromatic analogs of elliptic cohomology. 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 indecomposability; universal pro-\(\{l\}\) outer monodromy representation; semi-graph of anabelioids; profinite Dehn twist; Grothendieck-Teichmüller group; tripod homomorphism Coverings of curves, fundamental group On the indecomposability of the image of the universal pro-\(\{l\}\) outer monodromy representation of the moduli stack of once-punctured elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow variety; Hilbert schemes; twisted cubic curves Parametrization (Chow and Hilbert schemes), Algebraic cycles A partial description of the Chow variety of 1-cycles of degree 3 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 special value; zeta function; higher Chow group; weight homology; weight complex Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Special values of zeta functions of varieties over finite fields via higher Chow groups: a survey
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves second Chow group of a surface; Picard number; modular elliptic curve; Bass conjecture; Beilinson conjectures doi:10.1215/S0012-7094-92-06715-9 Parametrization (Chow and Hilbert schemes), Modular and Shimura varieties, Elliptic curves, Algebraic cycles Cycles in a product of elliptic curves, and a group analogous to the class 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 orbifold cohomology; \(K\)-theory; motivic cohomology; Chow rings; hyper-Kähler resolution \(K\)-theory of schemes, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Equivariant) Chow groups and rings; motives Orbifold products for higher \(K\)-theory 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 punctured spectrum; canonical module Hochster, M.; Huneke, C.; Heinzer, W.; Huneke, C.; Sally, J., Indecomposable canonical modules and connectedness, \textit{Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra}, 97-208, (1994) Structure, classification theorems for modules and ideals in commutative rings, Relevant commutative algebra, Ideals and multiplicative ideal theory in commutative rings Indecomposable canonical modules and connectedness
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 curve; Chow group; cycle map; Brauer group; Brauer-Manin pairing; Milnor K-group; Galois cohomology; semi-abelian variety; Tate elliptic curve Yamazaki T. (2005). On Chow and Brauer groups of a product of Mumford curves. Math. Ann. 333(3): 549--567 (Equivariant) Chow groups and rings; motives, Varieties over finite and local fields, Local ground fields in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On Chow and Brauer groups of a product of Mumford curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; algebraic cycle; moving lemma \textsc{A.~Krishna and J.~Park}, {\em Moving lemma for additive higher {C}how groups}, Algebra Number Theory, 6 (2012), pp.~293--326. DOI 10.2140/ant.2012.6.293; zbl 1263.14012; MR2950155; arxiv 0909.3155 Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Moving lemma for 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 integral regulator; higher Chow groups; algebraic cycles; Abel-Jacobi map (Equivariant) Chow groups and rings; motives, Algebraic cycles, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Integral regulators for higher Chow complexes
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian surface; elliptic curve; automorphism Group actions on varieties or schemes (quotients), Automorphisms of curves, Isogeny Products of elliptic curves and abelian surfaces by finite groups of automorphisms
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves doi:10.1090/S1056-3911-08-00477-3 Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry A non-Archimedean analogue of the Hodge-\(\mathcal {D}\)-conjecture for 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 Chow groups; Hodge groups Esnault, H., Srinivas, V., Viehweg, E.: Decomposability of Chow groups implies decomposability of cohomology. Astérisque \textbf{218}, 227-242 (1993) (Journées de Géométrie Algébrique d'Orsay, Juillet 1992) Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies Decomposability of Chow groups implies decomposability of 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 indecomposable modules; divisible modules; injective modules; Jacobians; dual of Heller's loop operator Rzedowski-Calderón M., Mejía-Huguet V.J.: Indescomponibilidad y módulos -divisibles. Aport. Mat. Comun. 35, 45--63 (2005) Injective and flat modules and ideals in commutative rings, Jacobians, Prym varieties, Arithmetic theory of algebraic function fields, Injective modules, self-injective associative rings, Group rings of finite groups and their modules (group-theoretic aspects) Indecomposability and \(\ell\)-divisible 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 higher weight cycles; intersection numbers; Fourier coefficients; congruence subgroups; algebraic cycles; abelian varieties; Hilbert modular surfaces; elliptic modular forms; Shimura varieties Gordon, B. Brent: Intersections of higher weight cycles and modular forms , Compositio Math. 89 (1993) 1-44. Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Modular and Shimura varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Other groups and their modular and automorphic forms (several variables), Algebraic cycles, Holomorphic modular forms of integral weight Intersections of higher weight cycles 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 hypersurface; Chow group Rationally connected varieties 2-cycles on higher Fano 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 representations of algebraic groups; Frobenius kernels; extensions of algebraic groups; cohomology Representation theory for linear algebraic groups, Group schemes, Cohomology theory for linear algebraic groups On liftings of projective indecomposable \(G_{(1)}\)-modules
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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; divisor linearly equivalent to 0; elliptic curve; isogeny; Hecke character; cubic reciprocity Kubert D.S. (1994). Product formulae on elliptic curves. Invent. Math. 117(2):227--273 Elliptic curves, Elliptic and modular units, Power residues, reciprocity Product formulae on 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 Higher Chow groups; motivic cohomology J. Park, \textsl{Regulators on additive higher Chow groups}, Amer. J. Math., \textbf{131}, (2009), no. 1, 257--276. DOI 10.1353/ajm.0.0035; zbl 1176.14001; MR2488491; arxiv math/0605702 (Equivariant) Chow groups and rings; motives, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Relations of \(K\)-theory with cohomology theories, Algebraic cycles Regulators on additive higher Chow groups
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mordell-Weil lattice; elliptic curve over function field of rank 8; rational points generating the Mordell-Weil group Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields, Arithmetic varieties and schemes; Arakelov theory; heights Construction of elliptic curves over \(\mathbb{Q}(t)\) with high rank: A preview
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; canonical zero cycle; hyperkähler manifolds Algebraic cycles, (Equivariant) Chow groups and rings; motives, Holomorphic symplectic varieties, hyper-Kähler varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles On product identities and the Chow rings of holomorphic symplectic 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; smash nilpotence; abelian varieties Shen, M., Vial, C.: The Fourier transform for certain hyperKähler fourfolds. Memoirs of the AMS 240(1139) (2016) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Subvarieties of abelian varieties Smash nilpotent cycles on varieties dominated by products of curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow rings; fine moduli space; Chern classes; cycle map; Iarrobino variety; quiver King, Alastair D.; Walter, Charles H., On Chow rings of fine moduli spaces of modules, J.~Reine Angew. Math., 461, 179-187, (1995) Fine and coarse moduli spaces, Families, moduli, classification: algebraic theory, Parametrization (Chow and Hilbert schemes) On Chow rings of fine moduli spaces of 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 principally polarized abelian varieties; product of elliptic curves; modular curve \beginbarticle \bauthor\binitsV. \bsnmGonzález-Aguilera and \bauthor\binitsR. \bsnmRodríguez, \batitleFamilies of irreducible principally polarized Abelian varieties isomorphic to a product of elliptic curves, \bjtitleProc. Amer. Math. Soc. \bvolume128 (\byear2000), no. \bissue3, page 629-\blpage636. \endbarticle \OrigBibText V. González-Aguilera and R. Rodríguez. Families of irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves. Proceedings of the AMS , 128(3):629-636, 2000. \endOrigBibText \bptokstructpyb \endbibitem Algebraic theory of abelian varieties, Jacobians, Prym varieties, Elliptic curves Families of irreducible principally polarized abelian varieties isomorphic to 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 Chow groups; moduli space; parabolic bundle (Equivariant) Chow groups and rings; motives, Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces, Vector bundles on curves and their moduli Chow group of 1-cycles of the moduli of parabolic bundles over a curve
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves non-representability of Chow groups; weakly representable Chow group; Hodge structure; Hodge substructure Schoen C.: On Hodge structures and non-representability of Chow groups. Compositio Mathematica 88, 285--316 (1993) Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects) On Hodge structures and non-representability 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 Chow group; higher Abel-Jacobi map; Milnor K-theory; regulator; differential character Kerr, M.: Higher Abel--Jacobi maps for 0-cycles. To appear in K-Theory Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Higher symbols, Milnor \(K\)-theory Higher Abel-Jacobi maps for 0-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 Banerjee, A., Higher bivariant Chow groups and motivic filtrations, Trans. Amer. Math. Soc., 363, 11, 5943-5969, (2011) (Equivariant) Chow groups and rings; motives, Algebraic cycles Higher bivariant Chow groups and motivic filtrations
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 weight cycles; modular forms of Nebentypus; intersection multiplicities of cycles; Hirzebruch-Zagier cycle; quaternionic modular surface; elliptic modular form B. Brent Gordon, Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus, Bull. Amer. Math. Soc. (N.S.) 14 (1986), no. 2, 293 -- 298. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Local ground fields in algebraic geometry Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves pro-unipotent fundamental group; algebraic cycle; mixed Hodge structure; \(L\)-function H. Darmon, V. Rotger, and I. Sols, ''Iterated integrals, diagonal cycles and rational points on elliptic curves'' in Publications mathématiques de Besançon: Algèbre et théorie des nombres, 2012/2, Publ. Math. Besançon Algèbre Théorie Nr. 2012, Presses Univ. Franche-Comté, Besançon, 2012, 19--46. Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Rational points Iterated integrals, diagonal cycles 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 Hilbert modular varieties; Tate conjecture; Hirzebruch-Zagier cycles; cuspidal forms Getz, Jayce R.; Hahn, Heekyoung, Algebraic cycles and Tate classes on Hilbert modular varieties, Int. J. Number Theory, 1793-0421, 10, 1, 161-176, (2014) Algebraic cycles, Arithmetic aspects of modular and Shimura varieties, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Algebraic cycles and Tate classes 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 curve; complex multiplication; L-function; motivic cohomology; regulator map; Deligne cohomology Applications of methods of algebraic \(K\)-theory in algebraic geometry, Complex multiplication and abelian varieties, Elliptic curves, Relations of \(K\)-theory with cohomology theories, \(K\)-theory of schemes Higher regulators of elliptic curves with complex multiplication
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves birational geometry; Zariski decomposition; elliptic fibration Elliptic surfaces, elliptic or Calabi-Yau fibrations, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays) Higher dimensional elliptic fibrations and Zariski decompositions
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; elliptic modular threefolds; Chow group; filtration Gordon, B.; Murre, J. P.: Chow motives of elliptic modular threefolds. J. reine angew. Math. 514, 145-164 (1999) \(3\)-folds, (Equivariant) Chow groups and rings; motives, Modular and Shimura varieties Chow motives of 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 split reductive group; Severi-Brauer variety; Chow groups; semi-decomposable invariants S.~Baek, Chow groups of products of Severi-Brauer varieties and invariants of degree 3, {\em Trans.~Amer.~Math.~Soc.} 369(3): 1757--1771, 2017 (Equivariant) Chow groups and rings; motives, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Homogeneous spaces and generalizations, Galois cohomology of linear algebraic groups Chow groups of products of Severi-Brauer varieties and invariants of degree 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 Pisolkar, S.: The Chow group of zero-cycles on certain Châtelet surfaces over local fields. Indag. Math. (N.S.) \textbf{19}(3), 427-439 (2008) Local ground fields in algebraic geometry, Varieties over finite and local fields, Algebraic cycles The Chow group of zero-cycles on certain Châtelet surfaces over local 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 group; Deligne cohomology James D. Lewis, Regulators of Chow cycles on Calabi-Yau varieties, Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001) Fields Inst. Commun., vol. 38, Amer. Math. Soc., Providence, RI, 2003, pp. 87 -- 117. 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), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Relations of \(K\)-theory with cohomology theories Regulators of Chow cycles on Calabi-Yau 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; Hodge theory; Abel's theorem; Chow groups Algebraic cycles, (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles and Hodge theory (about higher dimensionalization of abelian 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 cycles with modulus; relative \(K\)-theory; cycle class map; non-\(\mathbb{A}^1\)-invariant motives Binda, F., A cycle class map from Chow groups with modulus to relative \textit{K}-theory, Doc. Math., (2018), in press Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory A cycle class map from Chow groups with modulus to relative \(K\)-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 0-cycles; diagonal cubic surface; Brauer-Manin pairing (Equivariant) Chow groups and rings; motives, Rational and ruled surfaces, Varieties over finite and local fields On generators of the Chow group of 0-cycles on diagonal cubic surfaces over 3-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 0-Hecke algebra Berg, Chris; Bergeron, Nantel; Saliola, Franco; Serrano, Luis; Zabrocki, Mike, Indecomposable modules for the dual immaculate basis of quasi-symmetric functions, Proc. Am. Math. Soc., 143, 3, 991-1000, (2015) Symmetric functions and generalizations, Combinatorial aspects of representation theory, Hecke algebras and their representations, Classical problems, Schubert calculus, Representations of finite symmetric groups Indecomposable modules for the dual immaculate basis of quasi-symmetric 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 integral points; special varieties; abelian varieties; Hilbert property; Hilbert's irreducibility theorem Arithmetic problems in algebraic geometry; Diophantine geometry, Varieties over global fields, Rational points, Hyperbolic and Kobayashi hyperbolic manifolds Rational points and ramified covers of products 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 Hodge conjecture; standard conjecture of Lefschetz type; \(K3\)-surface Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, \(n\)-folds (\(n>4\)) On algebraic cycles on a fibre product of families of \(K3\)-surfaces
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves fourfold; algebraic cycle; Chow group Algebraic cycles, (Equivariant) Chow groups and rings; motives, \(4\)-folds Representability of Chow groups of codimension three 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 intersection multiplicity; complete regular local ring; Chow group \beginbarticle \bauthor\binitsS. P. \bsnmDutta, \batitleA note on Chow groups and intersection multiplicity of modules, \bjtitleJ. Algebra \bvolume161 (\byear1993), page 186-\blpage198. \endbarticle \endbibitem Regular local rings, Parametrization (Chow and Hilbert schemes), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry A note on Chow groups and intersection multiplicity of 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 (Equivariant) Chow groups and rings; motives, Relations of \(K\)-theory with cohomology theories, Higher symbols, Milnor \(K\)-theory Cycle class maps for Chow groups of zero-cycles 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 elliptic curve cryptography; endomorphism; exponentiation; Galbraith-Lin-Scott (GLS) endomorphism; Gallant-Lambert-Vanstone (GLV) endomorphism; \(\mathbb Q\)-curves; scalar decomposition; scalar multiplication Cryptography, Applications to coding theory and cryptography of arithmetic geometry The \(\mathbb Q\)-curve construction for endomorphism-accelerated 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 Ramakrishnan, Dinakar, Algebraic cycles on Hilbert modular fourfolds and poles of \textit{L}-functions, (Algebraic Groups and Arithmetic, (2004), Tata Inst. Fund. Res Mumbai), 221-274 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic cycles, Modular and Shimura varieties Algebraic cycles on Hilbert modular 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 Tate class; Picard modular surfaces A. Knightly, Tate classes on a Product of two Picard modular surfaces , J. Number Theory 107 (2004), 335-344. Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Tate classes on a product of two Picard 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 moduli of curves; Tate conjecture; Hodge conjecture Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), \(3\)-folds, Modular and Shimura varieties Algebraic cycles on genus-2 modular 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 torsion zero cycles; Selmer group of the symmetric square; Hyodo-Kato cohomology; selfproduct of a semistable elliptic curve Andreas Langer, Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve, Doc. Math. 2 (1997), 47 -- 59. Elliptic curves, \(p\)-adic cohomology, crystalline cohomology, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles Selmer groups and torsion zero cycles on the selfproduct of a semistable 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 Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Cycle-level products in equivariant cohomology of 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 degenerations of surfaces; degenerations of abelian varieties; regular models Fibrations, degenerations in algebraic geometry, Abelian varieties of dimension \(> 1\), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Algebraic moduli of abelian varieties, classification Invariants of regular models of the product of two elliptic curves at a place of 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 stable maps; moduli spaces; orbifold desingularization; rational cohomology Fontanari, C.: Towards the cohomology of moduli spaces of higher genus stable maps (2006). arXiv:math/0611754v1 Families, moduli of curves (algebraic), Classical real and complex (co)homology in algebraic geometry Towards the cohomology of moduli spaces of higher genus stable maps
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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 effectivity; solutions of algebraic equations; algorithm Special algebraic curves and curves of low genus, Software, source code, etc. for problems pertaining to algebraic geometry, Elliptic curves Explicit results on the arithmetic of curves of higher genus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hurwitz space; Hurwitz monodromy group; covering of Riemann surfaces; Nielsen type Biggers, R.; Fried, M., Irreducibility of moduli spaces of cyclic unramified covers of genus \(g\) curves, Trans. Am. Math. Soc., 295, 59-70, (1986) Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Algebraic moduli problems, moduli of vector bundles Irreducibility of moduli spaces of cyclic unramified covers of genus \(g\) 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 cycles; diagonal cubic surfaces (Equivariant) Chow groups and rings; motives, Algebraic cycles, Algebraic number theory: local fields On construction of explicit generators of the Chow group of diagonal 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 Chow quotient; stable trees; non-reductive Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), Geometric invariant theory Modular interpretation of a non-reductive Chow quotient
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves regular local ring \(R\); Chow group; Serre's conjecture on intersection multiplicity \beginbarticle \bauthor\binitsS. P. \bsnmDutta, \batitleOn Chow groups and intersection multiplicity of modules II, \bjtitleJ. Algebra \bvolume171 (\byear1995), page 370-\blpage382. \endbarticle \endbibitem Multiplicity theory and related topics, Regular local rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On Chow groups and intersection multiplicity of modules. 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 G. Marini, Algebraic cycles on abelian varieties and their decomposition,Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat (8),7 (2004), 231--240. (Equivariant) Chow groups and rings; motives, Algebraic theory of abelian varieties Algebraic cycles on abelian varieties and their 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 variety; symmetric functions; invariant theory Special varieties, Symmetric functions and generalizations, Actions of groups on commutative rings; invariant theory On some modules supported in the Chow 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 groups; variations of Hodge structure; connectivity theorem C. Voisin, Nori's connectivity theorem and higher Chow groups, J. Inst. Math. Jussieu (2) 1 (2002), 307-329. Zbl1036.14004 MR1954824 Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives Nori's connectivity theorem 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 prelog Chow rings; prelog Chow groups; cubic threefolds; stable rationality; semistable degenerations Rationality questions in algebraic geometry, Fibrations, degenerations in algebraic geometry, (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Computational aspects of higher-dimensional varieties Prelog Chow groups of self-products of degenerations of cubic threefolds
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Grothendieck standard conjecture; fourfolds; abelian schemes; standard conjecture of Lefschetz type; Néron minimal model; reduction of multiplicative type; \(K3\) surface; hyperkähler variety; Chow-Lefschetz decomposition; Abel-Jacobi map 10.1070/IM2015v079n01ABEH002738 Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, \(3\)-folds, \(4\)-folds On the standard conjecture and the existence of a Chow-Lefschetz decomposition for complex projective varieties
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves linear systems of divisor on \(r\)-fold symmetric products of elliptic curves; surfaces of general type; moduli of surfaces; Kodaira-Spencer map; Kuranishi family Catanese, F.; Ciliberto, C., Symmetric products of elliptic curves and surfaces of general type with \(p_g=q=1\), J. Algebr. Geom., 2, 389-411, (1993) Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Surfaces of general type, Elliptic curves Symmetric products of elliptic curves and surfaces of general type with \(p_ g=q=1\)
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Tate conjecture on algebraic cycles; Hodge conjecture; Pic; etale cohomology S.G. Tankeev , On algebraic cycles on surfaces and abelian varieties . Math USSR-Izv., vol. 18(2) (1982) 349-380. Arithmetic problems in algebraic geometry; Diophantine geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Analytic theory of abelian varieties; abelian integrals and differentials, \(p\)-adic cohomology, crystalline cohomology, Picard groups, Transcendental methods of algebraic geometry (complex-analytic aspects) On algebraic cycles on surfaces 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 algebraic cycles; gerbes; Heisenberg group; higher categories Algebraic cycles, Motivic cohomology; motivic homotopy theory, Eilenberg-Mac Lane spaces, Topological \(K\)-theory Cup products, the Heisenberg group, and codimension two 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 moduli space of curves; effective cone; higher codimension cycles; extremal rays Families, moduli of curves (algebraic), Algebraic cycles, Minimal model program (Mori theory, extremal rays) On the effective cone of higher codimension cycles in \(\overline{\mathcal{M}}_{g,n} \)
| 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 \(k\)-jet ample line bundle; ample line bundles; abelian variety Bauer, Th.; Szemberg, T., Higher order embeddings of abelian varieties, Math. Z., 224, 449-455, (1997) Algebraic theory of abelian varieties, Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves Higher order embeddings 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 elliptic genera; \(SU\)-manifolds; Kawamata log-terminal pair; Novikov conjecture Borisov L.: Libgober: higher elliptic genera. Math. Res. Lett. 15(3), 511--520 (2008) Minimal model program (Mori theory, extremal rays), Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), Surfaces and higher-dimensional varieties Higher elliptic genera
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 on algebraic cycles; quaternionic algebra; Shimura surface; Galois-subspace of the \(\ell \)-adic cohomology; L-function DOI: 10.1007/BF01168162 Cycles and subschemes, Transcendental methods, Hodge theory (algebro-geometric aspects), Special surfaces, Representation-theoretic methods; automorphic representations over local and global fields Algebraic cycles on compact Shimura surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow monoids; group completion; Nisnevich sheaves; (motivic) homotopy category; Bousfield localization; loop functor; classifying spaces; \(\mathbb A^1\)-homotopy groups Guletskiĭ, V.: A1-connectivity on Chow monoids v.s. Rational equivalence of algebraic cycles Algebraic cycles, Motivic cohomology; motivic homotopy theory \(\mathbb A^1\)-connectivity on Chow monoids versus rational equivalence 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 Yamagishi, H, A unified method of construction of elliptic curves with high Mordell-Weil rank, Pac. J. Math., 191, 189-200, (1999) Elliptic curves over global fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Elliptic curves A unified method of construction of elliptic curves with high Mordell-Weil rank.
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves holomorphic vector field; multiplicative group action; algebraic cycle; Chow group; Chow variety Parametrization (Chow and Hilbert schemes), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Algebraic cycles, Families, moduli of curves (algebraic), Singularities of surfaces or higher-dimensional varieties The multiplicative group action on singular varieties 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 unlikely intersections; split semi-abelian varieties; elliptic curves 10.1093/qmath/hax014 Elliptic curves over global fields, Rational points, Elliptic curves Unlikely intersections in products of families of elliptic curves and the multiplicative 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 Seshadri constants; abelian surfaces; principle polarizations Divisors, linear systems, invertible sheaves, Jacobians, Prym varieties, Elliptic curves, Isogeny, Abelian varieties and schemes, Quadratic forms (reduction theory, extreme forms, etc.), Surfaces and higher-dimensional varieties Integrality of Seshadri constants and irreducibility of principal polarizations on products of two isogenous elliptic curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic surface; lattice of transcendental cycles; Néron-Severi group; functional invariant; homological invariant [MN] Mangala Nori:On the lattice of transcendental cycles. Math. Zeit.193 (1986) 105-112. Cycles and subschemes, Families, moduli, classification: algebraic theory, Special surfaces On the lattice of transcendental cycles on an elliptic surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves acyclic quiver; Grassmannian; non-Schurian root Representations of quivers and partially ordered sets, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Classical problems, Schubert calculus Non-Schurian indecomposables via intersection theory
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves conjugacy class; Deligne-Simpson problem; root system; Kac-Moody Lie algebra Crawley-Boevey, W.: Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity. Publ. math. Inst. hautes études sci. 100, 171-207 (2004) Vector bundles on curves and their moduli, Matrix equations and identities, Representations of associative Artinian rings, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 theory, characteristic classes, intersection multiplicities in algebraic geometry, Generalizations (algebraic spaces, stacks), Coverings of curves, fundamental group, Plane and space curves The Chow ring of the stack of hyperelliptic curves of odd 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 infinite generation of Chow group; zero cycles; singular surfaces Pedrini, C.; Weibel, C., \textit{divisibility in the Chow group of zero-cycles on a singular surface}, Astérisque, 226, 371-409, (1994) Parametrization (Chow and Hilbert schemes), Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Singularities of surfaces or higher-dimensional varieties Divisibility in the Chow group of zero-cycles on a singular surface
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; cubic fourfolds; hyperkähler varieties; \(K3\) surfaces; finite-dimensional motive 16. R. Laterveer, On the Chow groups of certain EPW sextics, submitted. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On the Chow groups of certain 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 Brauer group; cyclic algebras; indecomposable division algebras; \(p\)-adic curves Brauer groups (algebraic aspects), Brauer groups of schemes, Local ground fields in algebraic geometry Indecomposability and cyclicity in the \(p\)-primary part of the Brauer group of a \(p\)-adic 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 Selmer group; geometric Euler system; Chow group; isotropic Galois representations Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), (Equivariant) Chow groups and rings; motives, Varieties over global fields, Galois cohomology, Galois representations Selmer groups and Chow groups of self-products of algebraic varieties.
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher-order tangent map; Nash blowups; Jacobian matrix; curves Singularities in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Modifications; resolution of singularities (complex-analytic aspects) A higher-order tangent map and a conjecture on the higher Nash blowup 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 zero-cycles; Noether-Lefschetz loci (Equivariant) Chow groups and rings; motives, Divisors, linear systems, invertible sheaves Decomposable cycles and Noether-Lefschetz 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 André-Oort conjecture E. Ullmo and A. Yafaev, ''The André-Oort conjecture for products of modular curves,'' in Arithmetic Geometry, Providence, RI: Amer. Math. Soc., 2009, vol. 8, pp. 431-439. Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Formal groups, \(p\)-divisible groups The André-Oort conjecture for products of modular curves
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Elliptic equations on manifolds, general theory, Monodromy on manifolds, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Projective techniques in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) Stieltjes-Bethe equations in higher genus and branched coverings with even ramifications
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves characteristic \(p\); plane curve; Frobenius map; geometric Mordell conjecture; finite field Arithmetic ground fields for curves, Rational points, Inseparable field extensions Purely inseparable points on curves of higher genus
| 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves fiber sum; Lefschetz fibrations; minimal; indecomposable Symplectic and contact topology in high or arbitrary dimension, Fibrations, degenerations in algebraic geometry, General topology of 4-manifolds The existence of an indecomposable minimal genus two Lefschetz fibration
| 0 |
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