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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 associated graded algebra; blowup; specialization; tangent cones (Equivariant) Chow groups and rings; motives, Algebraic cycles, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Detecting flat normal cones using Segre classes.
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves zero-cycles; \(p\)-adic variety; Brauer group; Manin pairing Saito, Shuji; Sato, Kanetomo, Zero-cycles on varieties over \textit{p}-adic fields and Brauer groups, Ann. Sci. Éc. Norm. Supér. (4), 47, 3, 505-537, (2014), MR 3239097 Local ground fields in algebraic geometry, Brauer groups of schemes, Algebraic cycles, (Equivariant) Chow groups and rings; motives Zero-cycles on varieties over \(p\)-adic fields and Brauer 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 transcendental methods; Hodge theory; Hodge conjecture; variation of Hodge structures; mixed Hodge theory of singular varieties; Chow groups and rings; motives; modular and Shimura varieties Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Period matrices, variation of Hodge structure; degenerations, Transcendental methods of algebraic geometry (complex-analytic aspects), Mixed Hodge theory of singular varieties (complex-analytic aspects), Kähler manifolds, (Equivariant) Chow groups and rings; motives, Modular and Shimura varieties, Algebraic cycles, Proceedings of conferences of miscellaneous specific interest Hodge theory. Based on lectures delivered at the summer school on Hodge theory and related topics, Trieste, Italy, June 14 -- July 2, 2010
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; rational equivalence class; Hilbert scheme of space curves Gotzmann, G. 1994.Der kombinatorische Teil der ersten Chowgruppe eines Hilbertschemas von Raumkurven, Schriftenreihe des Mathematischen Instituts der Universität Münster, 3. Serie 13 98Münster: Universität Münster, Mathematisches Institut. Parametrization (Chow and Hilbert schemes), Plane and space curves, (Equivariant) Chow groups and rings; motives The combinatorial part of the first Chow group of a Hilbert scheme of space 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 Tate conjecture; Mumford-Tate conjecture; Kuga-Satake construction; norm functor; motive; Hodge structure; \(K3\) surface; complex multiplication Moonen, B., On the Tate and Mumford-Tate conjectures in codimension 1 for varieties with \({h^{2,0} = 1}\), Duke Math. J., 166, 739-799, (2017) Algebraic cycles, (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Variation of Hodge structures (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Special surfaces, \(K3\) surfaces and Enriques surfaces, Complex multiplication and abelian varieties On the Tate and Mumford-Tate conjectures in codimension 1 for varieties with \(h^{2,0}=1\)
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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 Hodge cohomology groups; infinite dimensionality of the Chow group V. Srinivas, Gysin maps and cycle classes in Hodge cohomology, Proc. Indian Acad. Sci. Math. Sci. 103 (1993), 209--247. Parametrization (Chow and Hilbert schemes), (Co)homology theory in algebraic geometry, (Equivariant) Chow groups and rings; motives Gysin maps and cycle classes for Hodge cohomology
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; hyperKähler variety; \(K3\) surface; Hilbert scheme; cycle --------, On the motive of some hyperkähler varieties, J. reine angew. Math. 725 (2017), 235--247. (Equivariant) Chow groups and rings; motives, \(K3\) surfaces and Enriques surfaces, Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties On the motive of some hyperKähler varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow group; motive; Bloch-Beilinson filtration; surface of general type; \(K3\) surface; Beauville's ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Surfaces of general type Algebraic cycles and special Horikawa 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 vanishing theorems; Chow group; Lefschetz theorem A. Otwinowska, Asymptotic bounds for Nori's connectivity theorem, preprint 2002. MR2147354 Transcendental methods, Hodge theory (algebro-geometric aspects), Vanishing theorems in algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Motivic cohomology; motivic homotopy theory Asymptotic bounds for Nori's connectivity theorem
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group of the flag variety; Schubert varieties; Bruhat order Chevalley, C., Sur LES décompositions cellulaires des espaces \(G / B\), (Algebraic Groups and Their Generalizations: Classical Methods, University Park, PA, 1991, Proc. Sympos. Pure Math., vol. 56, (1994), Amer. Math. Soc. Providence, RI), 1-23 Grassmannians, Schubert varieties, flag manifolds, Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations, (Equivariant) Chow groups and rings; motives On the cellular decompositions of the spaces \(G/B\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; real cycles; quaternionic cycles; equivariant Eilenberg-MacLane spaces Algebraic cycles, (Equivariant) Chow groups and rings; motives, Real algebraic and real-analytic geometry, Equivariant homology and cohomology in algebraic topology, Eilenberg-Mac Lane spaces, Realizing cycles by submanifolds Cycles and spectra
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles Patel, D.; Ravindra, G.V., Towards connectivity for codimension two cycles: infinitesimal deformations, Journal of algebra, 399, 407-422, (2014) Algebraic cycles, (Equivariant) Chow groups and rings; motives Towards connectivity for codimension 2 cycles: infinitesimal deformations
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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 evaluating elliptic functions at torsion points DOI: 10.1112/plms/s3-62.1.121 Elliptic curves, Parametrization (Chow and Hilbert schemes), Elliptic and modular units A generalization of a formula of Eisenstein
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; Chow group; smash-nilpotence; Voevodsky conjecture; standard conjecture R. Laterveer, Some new examples of smash-nilpotent algebraic cycles, Glasgow Math. J., 59 (2017), 623--634. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Abelian varieties and schemes Some new examples of smash-nilpotent 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 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 torsion subgroup of second Chow group; \(K_ 2\)-cohomology; Galois module structure; Bloch-Quillen-formula; Neron-Severi group; Picard variety Colliot-Thélène, J.-L. and Raskind, W.: K 2-Cohomology and the second Chow group, Math. Ann. 270 (1985), 165-199. (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology, Parametrization (Chow and Hilbert schemes), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) \(K_ 2\)-cohomology and the second Chow 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 Bibliography; punctual Hilbert scheme; Betti numbers; higher order Kummer varieties; triangle varieties; Chow ring Göttsche, L. 1994.Hilbert Schemes of Zero-dimensional Subschemes of Smooth Varieties, Lecture Notes in Math. #1572 1--196. Berlin: Springer-Verlag. Parametrization (Chow and Hilbert schemes), Topological properties in algebraic geometry, Algebraic cycles, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Hilbert schemes of zero-dimensional subschemes of smooth varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves (Equivariant) Chow groups and rings; motives, Algebraic cycles, Subvarieties of abelian varieties, Modular and Shimura varieties, Abelian varieties of dimension \(> 1\), Arithmetic aspects of modular and Shimura varieties Decomposition of abelian motives
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups with coefficients; complexes of cycles; localization complexes for varieties; cycle modules; intersections; Chow groups M.~Rost, \emph{Chow groups with coefficients}, Doc. Math. 1 (1996), No. 16, 319--393. https://www.elibm.org/article/10000028; zbl 0864.14002; MR1418952 Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Higher symbols, Milnor \(K\)-theory Chow groups with coefficients
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Betti numbers of the Hilbert scheme compactification of the space; of twisted cubic curves; Betti numbers of the Hilbert scheme compactification of the space of twisted cubic curves Schaub, D.: Sur l'homologie du schéma de Hilbert des cubiques de ? ? 3 de genre arithmetique nul. C.R. Acad. Sci., Paris, t.301, (série I) 307-310 (1985) (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Applications of methods of algebraic \(K\)-theory in algebraic geometry Sur l'homologie du schéma de Hilbert des cubiques de \({\mathbb{P}}^ 3_{{\mathbb{C}}}\) de genre arithmétique nul. (On the homology of the Hilbert scheme of genus 0 cubics in \({\mathbb{P}}^ 3_{{\mathbb{C}}})\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves arithmetic Chow ring; Green currents; intersection of cycles; Deligne-Beilinson cohomology [8] Burgos~Gil (J.~I.).-- Arithmetic Chow rings and Deligne-Beilinson cohomology, J. Alg. Geom. 6 (1997), 335-377. &MR~14 | &Zbl~0922. Parametrization (Chow and Hilbert schemes), Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies Arithmetic Chow rings and Deligne-Beilinson 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 algebraic cycles; hyper-Kähler varieties; moduli spaces of sheaves on \(K3\) surfaces; birational motives; abelian varieties; co-algebras (Equivariant) Chow groups and rings; motives, Algebraic cycles, Holomorphic symplectic varieties, hyper-Kähler varieties, Abelian varieties and schemes, Rational and birational maps On the birational motive of hyper-Kähler 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 plethysm; external and symmetric products; pre-lambda structure; Adams operation; characters of representations; Schur functor Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Symmetric products and cyclic products in algebraic topology, (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Representations of finite symmetric groups, Symmetric monoidal categories, \(J\)-homomorphism, Adams operations Plethysm and cohomology representations of external and symmetric products
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; de Rham-Witt complex K. Rülling, \textsl{The generalized de Rham-Witt complex over a field is a complex of zero-cycles}, J. Algebraic Geom., \textbf{16}, (2007), no. 1, 109--169. DOI 10.1090/S1056-3911-06-00446-2; zbl 1122.14006; MR2257322 (Equivariant) Chow groups and rings; motives, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, de Rham cohomology and algebraic geometry The generalized de Rham-Witt complex over a field is a complex of zero-cycles
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow sheaves; Lawson homology theory; relative cycles; Chow presheaf; singular homology of schemes Suslin, A.; Voevodsky, V., \textit{relative cycles and Chow sheaves}, Cycles, transfers, and motivic homology theories, 10-85, (2000), Princeton University Press, Princeton, NJ Algebraic cycles, (Equivariant) Chow groups and rings; motives Relative cycles and Chow sheaves
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves secondary Chern-Simons characteristic classes; algebraic bundles; nonflat algebraic connections; algebraic cycles Bloch S., Esnault H. (1997). Algebraic Chern-Simons theory. Am. J. Math. 119(4): 903--952 Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Characteristic classes and numbers in differential topology, (Equivariant) Chow groups and rings; motives Algebraic Chern-Simons theory
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups 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 algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; non-symplectic involution; multiplicative Chow-Künneth decomposition; splitting property; Calabi-Yau varieties (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On Chow groups of some hyperkähler fourfolds with a non-symplectic involution. 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 Chow group; Chow motive Kimura, S., Chow groups are finite dimensional, in some sense, \textit{Math. Ann.}, 331, 173-201, (2005) (Equivariant) Chow groups and rings; motives, Algebraic cycles Chow groups are finite dimensional, in some sense
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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 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 Lawson homology; Chow varieties; resultants Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Generalized (extraordinary) homology and cohomology theories in algebraic topology Resultants: A tool for 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 Hilbert scheme of points; integral cohomology; Chow motive Parametrization (Chow and Hilbert schemes), Algebraic cycles, Discriminantal varieties and configuration spaces in algebraic topology The integral cohomology of the Hilbert scheme of points on a surface
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves codimension 2 cycles modulo rational equivalence; Chow group of algebraic varieties with isolated singularities DOI: 10.1016/0022-4049(84)90033-1 Parametrization (Chow and Hilbert schemes), Singularities in algebraic geometry, (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Torsion in the Chow group of codimension two: The case of varieties with isolated singularities
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves iteration; r-fold-point; Hilbert scheme; multiple-point cycles Steven L. Kleiman, Multiple-point formulas. II. The Hilbert scheme, Enumerative geometry (Sitges, 1987) Lecture Notes in Math., vol. 1436, Springer, Berlin, 1990, pp. 101 -- 138. Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes), Algebraic cycles Multiple-point formulas. II: The Hilbert scheme
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves 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 Chow motives; algebraic cycles; hypersurfaces (Equivariant) Chow groups and rings; motives, Algebraic cycles, Hypersurfaces and algebraic geometry Motives of hypersurfaces of very small degree
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; \(K3\) surfaces; Hilbert schemes; non-symplectic involution; multiplicative Chow-Künneth decomposition; ``spread'' of algebraic cycles in a family (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Bloch's conjecture for certain hyperkähler 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 (Equivariant) Chow groups and rings; motives, Noncommutative algebraic geometry, Motivic cohomology; motivic homotopy theory, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry Recent developments on noncommutative motives
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves locally free resolution of ideals; cohomology groups of ideal sheaf; degree; unirational varieties; degeneracy loci; general bundle morphisms; Hilbert scheme; elliptic normal scrolls Dolores Bazan and Emilia Mezzetti, On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \Bbb P\(^{5}\), Geom. Dedicata 86 (2001), no. 1-3, 191 -- 204. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Parametrization (Chow and Hilbert schemes), Elliptic curves, Complete intersections, Projective techniques in algebraic geometry On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \(\mathbb{P}^5\).
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Bergh, D, Motivic classes of some classifying stacks, J. Lond. Math. Soc. (2), 93, 219-243, (2016) (Equivariant) Chow groups and rings; motives, Generalizations (algebraic spaces, stacks), Algebraic cycles, Group actions on varieties or schemes (quotients) Motivic classes of some classifying stacks
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; finite-dimensional motives; surfaces of general type; Todorov surfaces; \(K3\) surfaces R. Laterveer, Algebraic cycles and Todorov surfaces, to appear in Kyoto J. Math., arXiv:1609.09629. (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K3\) surfaces and Enriques surfaces, Surfaces of general type Algebraic cycles and Todorov 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 quadratic form; Witt ring; fundamental ideal; Pfister form; Witt index; higher Witt indices; generic splitting; height of a quadratic form; stable birational equivalence; Chow motif; Tate motif; Rost motif; homogeneous variety; Rost's nilpotence theorem; Steenrod operation; motivic equivalence Kahn, B., \textit{formes quadratiques et cycles algébriques [d'après rost, Voevodsky, vishik, karpenko ...], exposé bourbaki no. 941}, Astérisque, 307, 113-163, (2006) Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Rational and birational maps, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Operations and obstructions in algebraic topology Quadratic forms and algebraic cycles (after Rost, Voevodsky, Vishik, Karpenko, \dots)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; hyperkähler varieties; double EPW sextics; anti-symplectic involution; Bloch conjecture; Beauville ``splitting property'' conjecture, Beauville-Voisin conjecture (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties Zero-cycles on double EPW sextics
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; filtration; higher Abel-Jacobi map; algebraic cycles S. Saito, ``Motives, algebraic cycles and Hodge theory'' in The Arithmetic and Geometry of Algebraic Cycles (Banff, Alberta, 1998) , CRM Proc. Lecture Notes 24 , Amer. Math. Soc., Providence, 2000, 235--253. (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles, Motivic cohomology; motivic homotopy theory Motives, algebraic cycles and Hodge theory
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rational point; Chow group N. Fakhruddin, C.S. Rajan, Congruences for rational points on varieties over finite fields. Math. Ann. 333, 797-809 (2005) Rational points, (Equivariant) Chow groups and rings; motives, Finite ground fields in algebraic geometry, Algebraic cycles Congruences for rational points on varieties over finite 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 algebraic cycles; Chow groups; motives; finite-dimensional motives; surfaces Laterveer, R.: Algebraic cycles and Todorov surfaces. Preprint. arXiv:1609.09629\textbf{(to appear inKyoto Journal of Mathematics)} (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on surfaces with \(p_g = 1\) and \(q = 2\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cubic hypersurfaces; \(p\)-adic fields; Chow groups; \(R\)-equivalence D. A. Madore, ''Équivalence rationnelle sur les hypersurfaces cubiques de mauvaise réduction,'' J. Number Theory, vol. 128, iss. 4, pp. 926-944, 2008. Algebraic cycles, Varieties over finite and local fields, Local ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Hypersurfaces and algebraic geometry, (Equivariant) Chow groups and rings; motives, Cubic and quartic Diophantine equations Rational equivalence on cubic hypersurfaces of bad 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 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 Hilbert scheme; Chow group; Néron-Severi group; space curves Parametrization (Chow and Hilbert schemes), Plane and space curves, (Equivariant) Chow groups and rings; motives The first Chow group of the Hilbert scheme of space curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow varieties; classifying spaces; Chern classes; infinite loop spaces Cartan, H.: Exposé 11. Détermination des algèbres \(H_*(\Pi ,n;{\mathbf Z})\). Sém. Henri Cartan, Ec. Norm. Sup., (1954-1955) deux. éd. (1956) Infinite loop spaces, Algebraic cycles, Equivariant homotopy theory in algebraic topology, Parametrization (Chow and Hilbert schemes), Equivariant \(K\)-theory, Equivariant homology and cohomology in algebraic topology Algebraic cycles and equivariant cohomology theories
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves arithmetic cycles; arithmetically ample line bundle; Chow group; Grothendieck's standard conjectures; regular arithmetic varieties; Hodge index theorem Moriwaki, A., \textit{Hodge index theorem for arithmetic cycles of codimension one}, Math. Res. Lett., 3, 173-183, (1996) Parametrization (Chow and Hilbert schemes), Arithmetic varieties and schemes; Arakelov theory; heights, Algebraic cycles Hodge index theorem for arithmetic cycles of codimension 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 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 algebraic cycles; holomorphic symplectic varieties; standard conjectures F.~Charles and E.~Markman 2013 The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of~\(K3\)~surfaces \textit{Compos. Math.}149 3 481--494 Parametrization (Chow and Hilbert schemes), Algebraic cycles, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, \(K3\) surfaces and Enriques surfaces The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes 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 algebraic cycles; arithmetic finiteness theorem; Galois cohomology; 0-dimensional Chow group; fibrations; Severi-Brauer variety Emmanuelle Frossard, Groupe de Chow de dimension zéro des fibrations en variétés de Severi-Brauer, Compositio Math. 110 (1998), no. 2, 187 -- 213 (French, with English summary). Parametrization (Chow and Hilbert schemes), Algebraic cycles, Families, fibrations in algebraic geometry, Global ground fields in algebraic geometry, Galois cohomology Zero-dimensional Chow group of fibrations on Severi-Brauer varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves k-tuples; Hilbert scheme; normal bundle LE BARZ (P.) . - Un lemme sur les fibrés normaux , C. R. Acad. Sc., t. 296, 1983 , p. 911-914. MR 84j:14015 | Zbl 0535.14002 Parametrization (Chow and Hilbert schemes), Algebraic cycles Un lemme sur les fibrés normaux
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic 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 algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; Fano varieties of lines on cubic fourfolds; multiplicative Chow-Künneth decomposition; splitting property; finite-dimensional motive (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on certain hyperkähler fourfolds with an order 3 non-symplectic automorphism
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; finite-dimensional motives; Burniat surfaces; Inoue surfaces; sicilian surfaces (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Surfaces of general type A motivic study of generalized Burniat 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 transcendental algebraic geometry; Mumford-Tate groups; Hodge conjecture for abelian varieties Lewis, J.D.: A Survey of the Hodge Conjecture, with an Appendix by B. Brent Gordon, CRM Monograph Series, 2nd edn., vol. 10. American Mathematical Society, USA (1999) Transcendental methods, Hodge theory (algebro-geometric aspects), (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods of algebraic geometry (complex-analytic aspects), Abelian varieties and schemes, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry A survey of the Hodge conjecture. With an appendix by B. Brent Gordon.
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Chow ring; motive; Bloch-Beilinson filtration; multiplicative Chow-Künneth decomposition; Calabi-Yau variety; supersingular variety (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects), Positive characteristic ground fields in algebraic geometry On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder 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 regular homomorphism; Chow group; algebraic cycles; intermediate Jacobian; Abel-Jacobi map Murre, JP, Un résultat en théorie des cycles algébriques de codimension deux, C. R. Acad. Sci. Paris, 296, 981-984, (1983) (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Picard schemes, higher Jacobians, Low codimension problems in algebraic geometry Un résultat en théorie des cycles algébriques de codimension deux
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Calabi-Yau varieties; derived equivalence (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Calabi-Yau manifolds (algebro-geometric aspects) On the motive of Kapustka-Rampazzo's Calabi-Yau 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 rational equivalence; abelian variety; algebraic cycle Huibregtse, M. E.: Translation by torsion points and rational equivalence of 0-cycles on abelian varieties. Rocky mountain J. Math. 18, No. 1, 147-156 (1988) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Abelian varieties and schemes Translation by torsion points and rational equivalence of 0-cycles on Abelian varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; $K3$ surfaces; Hilbert schemes; Calabi-Yau varieties; non-symplectic automorphisms; multiplicative Chow-Künneth decomposition; splitting property; Beauville-Voisin conjecture; finite-dimensional motive (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles on some special hyperkähler 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; Chow groups; motives; Voisin's conjecture (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Some Calabi-Yau fourfolds verifying Voisin's 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 projective varieties; number of rational points; Chow group; algebraic cycles; rational equivalence Hélène Esnault, Marc Levine, and Eckart Viehweg, Chow groups of projective varieties of very small degree, Duke Math. J. 87 (1997), no. 1, 29 -- 58. Parametrization (Chow and Hilbert schemes), Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Projective techniques in algebraic geometry Chow groups of projective varieties of very small degree
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; hyperkähler varieties; Beauville-Voisin conjecture (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties A remark on the motive of certain moduli spaces on \(K3\) 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 algebraic cycles; motive; Chow groups; Bloch-Beilinson conjectures (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On the Chow groups of Plücker hypersurfaces in Grassmannians
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; finite-dimensional motives Laterveer, R, A brief note concerning hard Lefschetz for Chow groups, Can. Math. Bull., (2015) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A brief note concerning hard Lefschetz for 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 algebraic cycles; Chow groups; motives; Bloch conjecture; surfaces of general type; Voisin's ``spread'' method (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Surfaces of general type Bloch's conjecture for some numerical Campedelli 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 Bloch-Beilinson conjecture; Bloch-Beilinson filtration; Beilinson-Hodge conjecture; Abel-Jacobi map Beilinson, A.: Notes on absolute Hodge cohomology. In: Applications of Algebraic \(K\)-Theory to Algebraic Geometry and Number Theory. Contemporary Mathematics 55, part 1, pp. 35-68. AMS, Providence (1986) Algebraic cycles, (Equivariant) Chow groups and rings; motives, 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) Abel-Jacobi equivalence and a variant of the Beilinson-Hodge 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 (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Algebraic cycles and intersections of three quadrics
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; \(K\)-theory \textsc{A.~Krishna and J.~Park}, {\em A module structure and a vanishing theorem for cycles with modulus}, (2015). arXiv:1412.7396v2 (to appear in Math. Res. Lett.). DOI 10.4310/MRL.2017.v24.n4.a10; zbl 06854542 (Equivariant) Chow groups and rings; motives, Algebraic cycles, Witt vectors and related rings, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) A module structure and a vanishing theorem for 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 algebraic cycles; Chow groups; motives; finite-dimensional motives; quartics (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Some elementary examples of quartics with finite-dimensional motive
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves motives; cubic fourfolds; abelian varieties; algebraic cycles; Chow groups; finite-dimensional motives; Kuga-Satake correspondence (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Abelian varieties and schemes A family of cubic fourfolds with finite-dimensional motive
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chern classes; Chow groups; mixed Hodge structure; spaces of algebraic cycles on an algebraic variety; historical perspective H. Blaine Lawson Jr., Spaces of algebraic cycles, Surveys in differential geometry, Vol. II (Cambridge, MA, 1993) Int. Press, Cambridge, MA, 1995, pp. 137 -- 213. Algebraic cycles, History of algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Parametrization (Chow and Hilbert schemes), History of mathematics in the 20th century Spaces 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 Plücker degree; intersection theory; Bott's residues formula; Quot scheme Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives Intersection numbers on the compact variety of rational ruled 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 flat family of projective schemes; integral curve of geometric genus Nobile A. , '' On the geometric realization of Albanese's inequality ''. preprint. Families, moduli of curves (algebraic), Algebraic cycles, Parametrization (Chow and Hilbert schemes) On the geometric realization of Albanese's inequality
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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 very ample exceptional divisor; Hilbert functions; linear system; Cayley- Bacharach number; 0-dimensional complete intersections; Castelnuovo function; punctured complete intersection [DG] Davis, E., Geramita, A.: Bese's very ampleness theorem and punctured complete intersections. Loc. cit. Divisors, linear systems, invertible sheaves, Algebraic cycles, Parametrization (Chow and Hilbert schemes) Bese's very ampleness theorem and punctured complete intersections
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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 Hodge cohomology; effective cycles; rationally equivalent; cubic equivalence relation; Chow groups Saito, Nagoya Math. J 94 pp 1-- (1984) (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects) The Hodge cohomology and cubic equivalences
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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 Fano varieties; Gushel-Mukai varieties; hyperkähler varieties; EPW sextics; automorphisms; rationality; intermediate Jacobians; abelian varieties with complex multiplication Rationality questions in algebraic geometry, Fano varieties, Holomorphic symplectic varieties, hyper-Kähler varieties, \(3\)-folds, \(4\)-folds, \(n\)-folds (\(n>4\)), Automorphisms of surfaces and higher-dimensional varieties, Complex multiplication and abelian varieties, Picard schemes, higher Jacobians, Algebraic cycles, Elliptic curves, Hypersurfaces and algebraic geometry Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme of points; nef cone; effective cone; tautological bundle Parametrization (Chow and Hilbert schemes), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles Higher codimension cycles on the Hilbert scheme of three points on the projective plane
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; \(K3\) surfaces; Mumford's theorem; intersection product (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On a multiplicative version of Mumford's theorem
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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
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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 standard conjecture; relative motivic cohomology; open correspondence; trace S. Bloch, H. Esnault, Künneth projectors for open varieties. Preprint math.AG/0502447 Motivic cohomology; motivic homotopy theory, (Equivariant) Chow groups and rings; motives, Algebraic cycles Künneth projectors for open varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves motive; motivic cohomology; Chow groups; numerical equivalence of cycles; Milnor's operations (Equivariant) Chow groups and rings; motives, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Motivic cohomology; motivic homotopy theory Isotropic motives
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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 conservativity; weight structures; relative motives of abelian type; l-adic realization; Hodge realization Étale and other Grothendieck topologies and (co)homologies, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, Motivic cohomology; motivic homotopy theory, Special properties of functors (faithful, full, etc.), Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Weights and conservativity
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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 0-cycles of degree 0 modulo rational equivalence; cones over smooth projective varieties V. Srinivas : Rational equivalence of 0-cycles on normal varieties over C , preprint. Algebraic cycles, (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry Rational equivalence of 0-cycles on normal varieties over \({\mathbb{C}}\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Hilbert scheme; rational equivalence; number of curves; net; number of singular points G. Elencwajg and P. le Barz, Explicit computations in Hilb3P2, à paraître. Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives, Enumerative problems (combinatorial problems) in algebraic geometry Explicit computations in \(Hilb^ 3\,{\mathbb{P}}^ 2\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow rings; decomposition of the diagonal; and the topology of families Voisin, C., \textit{Chow Rings, Decomposition of the Diagonal, and the Topology of Families}, (2014), Princeton University Press, and Oxford Research exposition (monographs, survey articles) pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Structure of families (Picard-Lefschetz, monodromy, etc.) Chow rings, decomposition of the diagonal, and the topology of families
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow ring; Hilbert scheme; Chern classes; homology ring A. Collino , Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of Hilb d(P2) , Illinois J. Math. 32 (1988), 171-210. Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of \(Hilb_ d(P^ 2)\)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves projective varieties; Chow groups; Griffiths groups; threefolds; Jacobians; abelian varieties; algebraic cycles; modular correspondences; Galois groups Rosenschon, A.; Srinivas, V., The Griffiths group of the generic abelian 3-fold, Cycles, motives and Shimura varieties, 449-467, (2010), Tata Inst. Fund. Res., Mumbai (Equivariant) Chow groups and rings; motives, Algebraic cycles, \(3\)-folds, Jacobians, Prym varieties, Algebraic theory of abelian varieties, Modular correspondences, etc. The Griffiths group of the generic abelian 3-fold
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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 Voevodsky motive; dimension filtration; slice filtration; weight structure; triangulated category; Chow motive (Equivariant) Chow groups and rings; motives, Algebraic cycles, Localization of categories, calculus of fractions, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Intersecting the dimension and slice filtrations for motives
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; Jacobian variety; Chow ring Algebraic cycles, Subvarieties of abelian varieties, (Equivariant) Chow groups and rings; motives On the tautological ring of a Jacobian modulo rational equivalence
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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 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
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; motives; abelian varieties; finite-dimensionality Vial, C., Remarks on motives of abelian type, \textit{Tohoku Math. J.}, 69, 195-220, (2017) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Arithmetic ground fields for abelian varieties Remarks on motives of abelian type
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic cycles, Holomorphic symplectic varieties, hyper-Kähler varieties, \(4\)-folds, Parametrization (Chow and Hilbert schemes) Nef cycles on some hyperkähler fourfolds
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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 motives; triangulated categories; algebraic cycles; motivic homotopy theory Research exposition (monographs, survey articles) pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic cycles, Motivic cohomology; motivic homotopy theory Six lectures on motives
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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 Langer, A.: Finiteness of torsion in the codimension-two Chow group: an axiomatic approach. In: The arithmetic and geometry of algebraic cycles, NATO Sci. Ser. C Math. Phys. Sci.548, 277--284. Kluwer, Dorderech 2000 Algebraic cycles, Parametrization (Chow and Hilbert schemes), Motivic cohomology; motivic homotopy theory, Low codimension problems in algebraic geometry Finiteness of torsion in the codimension-two Chow group: An axiomatic approach
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; cylinder map; diagonal class Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic cycles, (Equivariant) Chow groups and rings; motives Three lectures on the Hodge conjecture
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