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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 \(K3\) surface; Jacobian; Kummer surface; Inose fibration Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\) Inose's construction and elliptic \(K3\) surfaces with Mordell-Weil rank \(15\) revisited
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Proceedings, conferences, collections, etc. pertaining to algebraic topology, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest Elliptic cohomology. Geometry, applications, and higher chromatic analogues. Selected papers of the workshop, Cambridge, UK, December 9--20, 2002
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 spaces of curves; tautological ring; double ramification cycle Janda, F.; Pandharipande, R.; Pixton, A.; Zvonkine, D., Double ramification cycles on the moduli spaces of curves, Publ. Math. Inst. Hautes Études Sci., 125, 221-266, (2017) Families, moduli of curves (algebraic), Algebraic cycles Double ramification cycles on the moduli spaces of curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves construction of Chow ring; singular surface Parametrization (Chow and Hilbert schemes), Singularities of surfaces or higher-dimensional varieties The Chow ring of 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 Chow variety; Hilbert scheme Joseph Ross, The Hilbert-Chow morphism and the incidence divisor. Ph.D. Thesis, Columbia University, 2009. Parametrization (Chow and Hilbert schemes) The Hilbert-Chow morphism and the incidence divisor
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Ulrich bundles; Brill-Noether theory Kulkarni, RS; Mustopa, Y; Shipman, I, Ulrich sheaves and higher-rank brill-Noether theory, J. Algebra, 474, 166-179, (2017) Special divisors on curves (gonality, Brill-Noether theory) Ulrich sheaves and higher-rank Brill-Noether 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 induced modules; group schemes; Auslander-Reiten quivers; group algebra \(k\mathcal{G}\) Representation type (finite, tame, wild, etc.) of associative algebras, Group schemes, Modular Lie (super)algebras, Ordinary representations and characters Classification of indecomposable modules for finite group schemes of domestic representation type
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow varieties; Chow groups; finite dimensionality Parametrization (Chow and Hilbert schemes), Algebraic cycles On finite dimensionality 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 finite dimensional algebras; affine varieties; general linear groups; degenerations of modules; partial orders; categories of quasi-tubes; minimal degenerations Skowroński, A.; Zwara, G.: On degenerations of modules with nondirecting indecomposable summands. Canad. J. Math. 48, 1091-1120 (1996) Representations of associative Artinian rings, Group actions on varieties or schemes (quotients), Formal methods and deformations in algebraic geometry, Module categories in associative algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Finite rings and finite-dimensional associative algebras On degenerations of modules with nondirecting indecomposable summands
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Noetherian ring; graded by a group DOI: 10.1081/AGB-120018989 Graded rings, (Equivariant) Chow groups and rings; motives, Finite abelian groups On Chow groups of \(G\)-graded rings
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion cycle map; Chow group of cycles of codimension two; Hochschild-Serre spectral sequence K. Sato, Injectivity of the torsion cycle map of codimension two of varieties over \(p\)-adic fields with semi-stable reduction , J. Reine Angew. Math. 501 (1998), 221--235. Algebraic cycles, Local ground fields in algebraic geometry, Parametrization (Chow and Hilbert schemes) Injectivity of the torsion cycle map of codimension two of varieties over \(p\)-adic fields with semi-stable 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 \(N=2\) heterotic string; Calabi-Yau 3- or 4-fold; generalized Kac-Moody algebra Neumann, C.D.D.: The Elliptic genus of Calabi-Yau 3-folds and 4-folds: product formulae and generalized Kac-Moody algebras. J. Geom. Phys. \textbf{29}, 5-12 (1999). hep-th/9607029 Calabi-Yau theory (complex-analytic aspects), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Other groups and their modular and automorphic forms (several variables), Compact complex \(3\)-folds, Compact complex \(n\)-folds The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; Chow group; 3-folds; Chow-Künneth decomposition Pedro Luis del Angel and Stefan Müller-Stach, On Chow motives of 3-folds, Trans. Amer. Math. Soc. 352 (2000), no. 4, 1623 -- 1633. (Equivariant) Chow groups and rings; motives, \(3\)-folds, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles, Motivic cohomology; motivic homotopy theory On Chow motives of 3-folds
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Homotopy theory and fundamental groups in algebraic geometry, Motivic cohomology; motivic homotopy theory Stably \(\mathbb{A}^1\)-connected varieties and universal \(\mathrm{CH}_{0}\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves surface of general type; bounded irregularity Xiao G. Algebraic surfaces with high canonical degree. Math Ann, 1986, 274: 473--483 Families, moduli, classification: algebraic theory, Special surfaces Algebraic surfaces with high canonical 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 Sato-Tate conjectures; extremal traces Curves over finite and local fields, Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Structure of families (Picard-Lefschetz, monodromy, etc.) On Sato-Tate distributions, extremal traces, and real multiplication in genus 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 Chow ring; singular varieties Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry Algebraic cycles on singular 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; singular varieties; intersection cohomology; intersection theory; graded Chow ring; Chow theory; singular cohomology; De Rham cohomology; étale cohomology Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Singularities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, de Rham cohomology and algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry Algebraic cycles on singular 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 one dimensional cycles; varieties over finite fields; Tate conjecture for cycles; Chow group Kollár, J.: Rational Curves on Algebraic Vareieties. volume 32 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]. Springer-Verlag, Berlin (1996) Algebraic cycles, Finite ground fields in algebraic geometry An integral analog of the Tate conjecture for one dimensional cycles on varieties over finite fields
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves unirational complex varieties; Hodge cycles; Deligne-Beilinson cohomology L. Barbieri-Viale, ``Cicli di codimensione 2 su varietà unirazionali complesse,'' dans K-Theory (Strasbourg 1992) , Astérisque 226 (1994), 13-41. Low codimension problems in algebraic geometry, Algebraic cycles, Rational and unirational varieties Codimension 2 cycles on unirational complex varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mumford-Tate group; algebraic Sato-Tate group; normalized \(L\)-factors Banaszak, G.; Kedlaya, KS, An algebraic Sato-Tate group and Sato-Tate conjecture, Indiana Univ. Math. J., 64, 245-274, (2015) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Abelian varieties of dimension \(> 1\), Galois representations, Global ground fields in algebraic geometry An algebraic Sato-Tate group and Sato-Tate 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 algebraic cycles; Bloch conjecture; Chow groups; conservativity conjecture; homotopy \(t\)-structure; motives; motivic \(t\)-structure; slice filtration; vanishing conjecture Ayoub, Joseph, Motives and algebraic cycles: a selection of conjectures and open questions, (Hodge Theory and \(L^2\) Analysis. Hodge Theory and \(L^2\) Analysis, Adv. Lect. Math. (ALM), vol. 39, (2017)), 87-125 Algebraic cycles, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Abelian categories, Grothendieck categories, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Motives and algebraic cycles: a selection of conjectures and open questions
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; \(K3\) surface; hyper-Kähler variety Voisin, C., On the Chow ring of certain algebraic hyper-Kähler manifolds, Pure Appl. Math. Q., 4, 3, 613-649, (2008) (Equivariant) Chow groups and rings; motives, \(K3\) surfaces and Enriques surfaces On the Chow ring of certain algebraic hyper-Kähler manifolds
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli space of curves; Chow ring Izadi, E.: The Chow ring of the moduli space of curves of genus 5. In: The Moduli Space of Curves (Texel Island, 1994). Progr. Math., vol. 129, pp. 267--304. Birkhaüser Boston, Boston, MA (1995) Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes) The Chow ring of the moduli space of curves of genus 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 elliptic curve; modular curve; torsion; cyclic cubic number field; cyclic trigonal Jeon, Daeyeol, Families of elliptic curves over cyclic cubic number fields with prescribed torsion, Math. Comp., 85, 299, 1485-1502, (2016) Elliptic curves over global fields, Arithmetic aspects of modular and Shimura varieties, Automorphisms of curves Families of elliptic curves over cyclic cubic number fields with prescribed torsion
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 Hodge cycles; CM-motives; Tate conjecture for algebraic cycles; Hilbert modular surfaces; Hilbert modular forms of CM-type; Picard group V. K. Murty, D. Ramakrishnan, Period relations and the Tate conjecture for Hilbert modular surfaces, Invent. Math. 89 (1987), no. 2, 319--345. Cycles and subschemes, Special surfaces, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Generalizations (algebraic spaces, stacks), Picard groups Period relations and the Tate conjecture for Hilbert modular surfaces
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves homological mirror symmetry; Fukaya categories; triangulated categories of singularities; formality theorem A. Efimov. Homological mirror symmetry for curves of higher genus. Advances in Mathematics, 230(2):493-530, 2012. Mirror symmetry (algebro-geometric aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Differential graded algebras and applications (associative algebraic aspects) Homological mirror symmetry for 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 torsion algebraic cycles; Chow group; cycle map; rational classes of codimension 2 Saito, S.: On the cycle map for torsion algebraic cycles of codimension two. Invent. Math. 106(3), 443--460 (1991) Algebraic cycles, Parametrization (Chow and Hilbert schemes) On the cycle map for torsion algebraic cycles of codimension two
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic geometry Долгачев, И. В., О рациональных поверхностях с пучком эллиптических кривых, Изв. АН СССР. Сер. матем., 30, 5, 1073-1100, (1966) Rational and ruled surfaces On rational surfaces with a pencil 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 O'Sullivan P., Algebraic cycles on an abelian variety, J. reine angew. Math. 654 (2011), 1-81. Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties Algebraic cycles on an abelian variety
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Quillen, Daniel, Higher algebraic \textit{K}-theory. I, (Algebraic \textit{K}-Theory, I: Higher \textit{K}-Theories. Algebraic \textit{K}-Theory, I: Higher \textit{K}-Theories, Proc. Conf. Battelle Memorial Inst., Seattle, Wash., 1972. Algebraic \textit{K}-Theory, I: Higher \textit{K}-Theories. Algebraic \textit{K}-Theory, I: Higher \textit{K}-Theories, Proc. Conf. Battelle Memorial Inst., Seattle, Wash., 1972, Lecture Notes in Math., vol. 341, (1973), Springer: Springer Berlin), 85-147 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, (Equivariant) Chow groups and rings; motives Higher algebraic \(K\)-theory. I
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 groups; modular elliptic curves; \(p\)-adic \(L\)-functions Arithmetic aspects of modular and Shimura varieties, Iwasawa theory, Elliptic curves over global fields, Modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and \(L\)-functions On the symmetric square of a modular 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 \(K3\) surfaces; motives; Kuga-Satake; Hodge conjecture; Kimura-finite; pure motives; coverings by curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Transcendental methods, Hodge theory (algebro-geometric aspects), Jacobians, Prym varieties Explicit coverings of families of elliptic surfaces by squares 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 ring; hyper-Kähler manifold; Hilbert scheme of points; Fano variety of lines Holomorphic symplectic varieties, hyper-Kähler varieties, (Equivariant) Chow groups and rings; motives, Algebraic cycles, \(4\)-folds The Chow ring of hyperkähler varieties of \(K3^{[2]}\)-type via Lefschetz actions
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; function field; Jacobian variety; Mordell-Weil group; intersection theory Shioda, T.: Mordell-Weil lattices for higher genus fibration over a curve. In: New Trends in Algebraic Geometry (Warwick 1996), pp. 359-373, London Mathematical Soceity, Lecture Note on Series , vol. \textbf{264}. Cambridge University Press, Cambridge (1999) Rational points, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special surfaces Mordell-Weil lattices for higher genus fibration 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 characteristic \(p\); Witt vectors; Barsotti-Tage group; Tate module; Dieudonné modules Formal groups, \(p\)-divisible groups, Local ground fields in algebraic geometry Canonical immersion and period map. The case of étale and multiplicative Barsotti-Tate 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 Grothendieck group; Chow ring; singular varieties (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Singularities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Grothendieck groups (category-theoretic aspects) The Chow ring of a singular 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 space curve; osculating planes; inseparable degree of the Gauss map Homma, M. and Kaji, H.,On the inseparable degree of the Gauss map of higher order for space curves. Proc. Japan Acad. 68, Ser. A (1992), 11--14. Plane and space curves On the inseparable degree of the Gauss map of higher order for 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 real algebraic set Kucharz W.: Algebraic cycles and algebraic models of smooth manifolds. J. Algebraic Geom. 11, 101--127 (2002) Topology of real algebraic varieties, Classical real and complex (co)homology in algebraic geometry, Algebraic cycles Algebraic cycles and algebraic models of smooth manifolds
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Elliptic surfaces, elliptic or Calabi-Yau fibrations Construction of rational elliptic surfaces with Mordell-Weil rank four
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves absolute Galois group; abelian variety; general linear group; Tate module; Frobenius element Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry Endomorphism rings of reductions of elliptic curves 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 elliptic curves; Galois representations; division fields; Serre curves Elliptic curves, Galois representations, Elliptic curves over global fields, Elliptic curves over local fields Elliptic curves with maximally disjoint division 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 direct product of elliptic curves; Hodge conjecture; abelian variety Analytic theory of abelian varieties; abelian integrals and differentials, Transcendental methods, Hodge theory (algebro-geometric aspects), Special algebraic curves and curves of low genus, Elliptic curves Rational cycles on abelian varieties. 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 orientable morphism of schemes; Gysin homomorphism; Chow homology groups; higher K-theory H. Gillet, Some new Gysin homomorphisms for the Chow homology of varieties,Proc. L.M.S. (3),50 (1980), 57--68. (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Birational geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry Some new Gysin homomorphisms for the Chow homology of varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; Galois groups; integral points; specialization Galois theory, Inverse Galois theory, Rational points, Elliptic curves over global fields, Elliptic curves Specialization of Galois groups and integral 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 Bibliography; algebraic cycles on complex projective varieties; divisors; Hodge conjecture; intermediate Jacobians Fabio Bardelli, Algebraic cycles on projective varieties, Geometry Seminars, 1991 -- 1993 (Italian) (Bologna), Univ. Stud. Bologna, Bologna, 1994, pp. 47 -- 65 (Italian). Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians Algebraic cycles on 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 \(p\)-adic \(L\)-function; \(p\)-adic Birch and Swinnerton-Dyer conjectures for elliptic curves Rubin, K.: \(p\)-Adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. In: \(p\)-Adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), pp. 71-80, Contemp. Math., vol. 165, Am. Math. Soc., Providence (1994) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Zeta functions and \(L\)-functions, Local ground fields in algebraic geometry, Complex multiplication and abelian varieties \(p\)-adic variants of the Birch and Swinnerton-Dyer conjecture for 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 finiteness of second Chow group; singular surfaces; étale cohomology group Parametrization (Chow and Hilbert schemes), Global ground fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Étale and other Grothendieck topologies and (co)homologies Finiteness results for Chow groups of varieties over number fields
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic genera of level \(N\); complex cobordism; associated elliptic cohomology theories; algebraic extension of coefficient rings Andrew Baker, Elliptic genera of level \? and elliptic cohomology, J. London Math. Soc. (2) 49 (1994), no. 3, 581 -- 593. Bordism and cobordism theories and formal group laws in algebraic topology, Formal groups, \(p\)-divisible groups, Modular and automorphic functions, Characteristic classes and numbers in differential topology, Elliptic genera Elliptic genera of level \(N\) and elliptic cohomology
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow motives; \(K3\) surfaces; Nikulin involutions (Equivariant) Chow groups and rings; motives, \(K3\) surfaces and Enriques surfaces, Algebraic cycles The Chow motive of a \(K3\) 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 Chow rings; Hilbert schemes; equivariant Chow rings; toric varieties [9] L. Evain, &The Chow ring of punctual Hilbert schemes on toric surfaces&#xTransform. Groups12 (2007) no. 2, p. 227Article | &MR 23 | &Zbl 1128. Parametrization (Chow and Hilbert schemes), Toric varieties, Newton polyhedra, Okounkov bodies The Chow ring of punctual Hilbert schemes on toric 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 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 cycles; affine varieties; intersection property Srinivas, V., Some applications of algebraic cycles to affine algebraic geometry, (Algebraic cycles, sheaves, shtukas, and moduli, Trends math., (2008), Birkhäuser Basel), 185-215 Algebraic cycles, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Affine geometry Some applications of algebraic cycles to affine algebraic geometry
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Kuga-Shimura varieties; Hodge filtration; arithmetic filtration; generalized Hodge conjecture; sub-Hodge structure; algebraic cycles B. Brent Gordon, Topological and algebraic cycles in Kuga-Shimura varieties, Math. Ann. 279 (1988), no. 3, 395 -- 402. Transcendental methods, Hodge theory (algebro-geometric aspects), Cycles and subschemes, Global ground fields in algebraic geometry, Quaternion and other division algebras: arithmetic, zeta functions Topological and algebraic cycles in Kuga-Shimura 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 surface; Mordell-Weil group Ulmer, D., Rational curves on elliptic surfaces, J. Algebraic Geom., 26, 357-377, (2017) Elliptic surfaces, elliptic or Calabi-Yau fibrations Rational curves on elliptic surfaces
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Rational points, Brauer groups of schemes, \(K3\) surfaces and Enriques surfaces Arithmetic of rational points and zero-cycles on products of Kummer varieties and \(K3\) 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 nearby cycles; perverse sheaf; intersection homology; Milnor fibre; sheaf of nearby cycles; adjoint quotient map; holonomy of the local system; monodromy actions Grinberg, Mikhail, A generalization of Springer theory using nearby cycles, Represent. Theory, 2, 410-431 (electronic), (1998) Semisimple Lie groups and their representations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) A generalization of Springer theory using nearby 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 surfaces; constructing elliptic curves with high rank; rational points; Mordell-Weil-lattices; invariant of the Weyl groups; universal deformation of the rational double point; \(E_ 8\); root lattices T. Shioda, Construction of elliptic curves with high-rank via the invariants of the Weyl groups, J. Math. Soc. Japan43 (1991) p.673--719. Elliptic curves, Rational points, Arithmetic theory of algebraic function fields Construction of elliptic curves with high rank via the invariants of the Weyl 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 real K3-surface; Kähler surface; real algebraic cycles Mangolte F.: Cycles algébriques sur les surfaces K3 réelles. Math. Z. 225, 559--576 (1995) Topology of real algebraic varieties, \(K3\) surfaces and Enriques surfaces, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies Algebraic cycles on real \(K3\)-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 \(K\)-theory; diagonalizable group scheme; toric variety G. Vezzosi and A. Vistoli, Higher algebraic \textit{K}-theory for actions of diagonalizable groups, Invent. Math. 153 (2003), no. 1, 1-44. \(K\)-theory of schemes, Group actions on varieties or schemes (quotients) Higher algebraic \(K\)-theory for actions of diagonalizable 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; Jacobian varieties; algebraic equivalence Tadokoro Y.: A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic. Tsukuba J. Math. 33(1), 29--38 (2009) Algebraic cycles, Jacobians, Prym varieties A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cell decomposition; Chow ring; Grassmannian variety; torus action Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients) On the cellular decomposition of \(G(1,3)\) and the structure of its Chow ring
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; loop group; representation theory Loop groups and related constructions, group-theoretic treatment, Elliptic curves, Vector bundles on curves and their moduli Conjugacy classes in affine Kac-Moody groups and principal \(G\)-bundles over 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 Milnor K-theory; Chow group of zero cycles Kato, K, Milnor \(K\)-theory and the Chow group of zero cycles, Contemp. Math. I, I, 241-253, (1986) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles Milnor K-theory and the Chow group 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 Tavakol, M., The Chow ring of the moduli space of curves of genus zero, J. Pure Appl. Algebra, 221, 4, 757-772, (2017), MR 3574205 Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives The Chow ring of the moduli space of curves of genus zero
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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 variety; motive; reductive algebraic group J. Iyer, Absolute Chow--Künneth decomposition for rational homogeneous bundles and for log homogeneous varieties, Michigan Math. J., 60 (2011), 79--91. (Equivariant) Chow groups and rings; motives, Homogeneous spaces and generalizations Absolute Chow-Künneth decomposition for rational homogeneous bundles and for log homogeneous 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, Transcendental methods, Hodge theory (algebro-geometric aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry Indecomposable \(K_1\) classes on a surface and membrane integrals
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; Bloch-Beilinson filtration Lewis, J. D.: Cycles on varieties over subfields of \({\mathbb{C}}\) and cubic equivalence. In: Motives and Algebraic Cycles, pp. 233-247. Fields Institute Communications, vol. 56. American Mathematical Society, Providence (2009) Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Cycles on varieties over subfields of \(\mathbb{C}\) and cubic equivalence
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cohomology theories; Shimura varieties; holomorphic cohomology; cup product Clozel, L.: Produits dans la cohomologie holomorphe des variétés de Shimura. J. reine angew. Math. 430, 69-83 (1992) Modular and Shimura varieties, Classical real and complex (co)homology in algebraic geometry Products in the holomorphic cohomology of Shimura 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 Voisin, C.: Rational equivalence of 0-cycles on K3 surfaces and conjectures of huybrechts and o'grady. London math. Soc. lecture notes series 417, 422-436 (2015) \(K3\) surfaces and Enriques surfaces, (Equivariant) Chow groups and rings; motives Rational equivalence of 0-cycles on \(K3\) surfaces and conjectures of Huybrechts and O'Grady
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Albanese map Hacon C. and Pardini R. (2005). Birational characterization of products of curves of genus 2. Math. Res. Lett. 12: 129--140 \(n\)-folds (\(n>4\)), \(3\)-folds, \(4\)-folds, Birational geometry Birational characterization of products of curves of genus 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 product of curves; surfaces of general type; generically finite maps Rational and birational maps, Surfaces of general type, Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic) On dominant rational maps from products of curves to surfaces of general type
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow group; motive; finite-dimensional motive; Bloch's conjecture; generalized Hodge conjecture; Bloch-Beilinson filtration; Beauville's ``splitting property'' conjecture; hyperkähler varieties; Fano varieties of lines on cubic fourfolds; Lehn-Lehn-Sorger-van Straten eightfolds; non-symplectic automorphism (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties On the Chow ring of certain Lehn-Lehn-Sorger-Van Straten eightfolds
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves F. Luca, I. Shparlinski, Elliptic curves with low embedding degree. J. Cryptol. 19, 553--562 (2006) Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography, Applications to coding theory and cryptography of arithmetic geometry Elliptic curves with low embedding 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 F-theory; flux compactifications; M-theory; string duality String and superstring theories in gravitational theory, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Local differential geometry of Hermitian and Kählerian structures One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (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; primitive point Chen, Y.-M. J.; Yu, J., On primitive points of elliptic curves with complex multiplication, J. Number Theory., 114, 1, 66-87, (2005) Elliptic curves over global fields, Complex multiplication and abelian varieties, Density theorems On primitive points 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 complex elliptic curve as real algebraic surface J. Bochnak, J. Huisman, When is a complex elliptic curve the product of two real algebraic curves? Math. Ann.293 (1992), 469-474 Real algebraic sets, Elliptic curves When is a complex elliptic curve the product of two real algebraic 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 complex elliptic curve as real algebraic surface Bochnak, J., Huisman, J.: When is a complex elliptic curve the product of two real algebraic curves? Math. Ann.293 (1992) Real algebraic sets, Elliptic curves When is a complex elliptic curve the product of two real algebraic curves?
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves toric; Kontsevich; stable log map; Chow quotient Chen, Q; Satriano, M, Chow quotients of toric varieties as moduli of stable log maps, Algebra Number Theory, 7, 2313-2329, (2013) Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Chow quotients of toric varieties as moduli of stable log maps
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves curves; Jacobians; cycles Families, moduli of curves (algebraic), Jacobians, Prym varieties Extending the double ramification cycle by resolving the Abel-Jacobi map
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic cycles, Grothendieck groups, \(K\)-theory, etc. Codimension-two cycles on products of 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 semistable models; modular curves; Lubin-Tate tower Weinstein, J., Semistable models for modular curves of arbitrary level, Inventiones Mathematicae, 205, 459-526, (2016) Modular and Shimura varieties, Elliptic curves over global fields Semistable models for modular curves of arbitrary level
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves crystalline cohomology of higher level; transversal crystals; filtered de Rham complex; group schemes; invariant differential forms \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry, Group schemes The filtered Poincaré Lemma in higher level (with applications to algebraic groups)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Shimura variety; Hilbert-Blumenthal variety; quaternion algebras Rotger V. (2004). Modular Shimura varieties and forgetful maps. Trans. Am. Math. Soc. 356(4): 1535--1550 Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Modular Shimura varieties and forgetful 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 elliptic modular surface; standard minimal model Burns,D.: On the geometry of elliptic modular surfaces and representations of finite groups. In: Springer Lecture Notes in Math., Vol. 1008, 1-29 (1983) Special surfaces, Structure of modular groups and generalizations; arithmetic groups, Moduli, classification: analytic theory; relations with modular forms, Families, moduli, classification: algebraic theory, Unimodular groups, congruence subgroups (group-theoretic aspects), Discrete subgroups of Lie groups, Representation theory for linear algebraic groups On the geometry of elliptic modular surfaces and representations of finite 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 algebraic completely integrable systems; Poisson geometry; integrable Hamiltonian systems; symmetric product of curves; Hénon-Heiles hierarchy Vanhaecke, P., Integrable Systems and Symmetric Products of Curves, Math. Z., 1998, vol. 227, no. 1, pp. 93--127. Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Analytic theory of abelian varieties; abelian integrals and differentials Integrable systems and symmetric products of 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 modular curves; unramified extensions of number fields; Bernoulli numbers; ideal class groups; Eisenstein prime S. Kamienny, Modular curves and unramified extensions of number fields , Compositio Math. 47 (1982), no. 2, 223-235. Class numbers, class groups, discriminants, Special algebraic curves and curves of low genus Modular curves and unramified extensions of number 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 Rational points, Counting solutions of Diophantine equations, Applications of the Hardy-Littlewood method Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; fast endomorphisms; joint sparse form Ciet, M., Lange, T., Sica, F., Quisquater, J.-J.: Improved algorithms for efficient arithmetic on elliptic curves using fast endomorphisms. Advances in Cryptology--EUROCRYPT 2003. In: Biham, E. (ed.) International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, May 4--8, 2003. Proceedings. Lecture Notes in Comput. Sci., vol. 2656, pp. 388--400. Springer, Berlin (2003) Number-theoretic algorithms; complexity, Cryptography, Elliptic curves over local fields, Computational aspects of algebraic curves Improved algorithms for efficient arithmetic on elliptic curves using fast endomorphisms
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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 moduli spaces; Higgs bundles; flat connections; Fourier-Mukai; abelian varieties 10. E. Franco and P. Tortella, Moduli spaces of {\(\Lambda\)}-modules on abelian varieties, arXiv:1602.06150. Algebraic moduli problems, moduli of vector bundles, Parametrization (Chow and Hilbert schemes), Transcendental methods, Hodge theory (algebro-geometric aspects), Abelian varieties and schemes Moduli spaces of \(\Lambda\)-modules on abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; motivic zeta; Chow varieties Elizondo, E. J.; Kimura, S.: Rationality of motivic Chow series modulo A1-homotopy. Adv. math. 230, No. 3, 876-893 (2012) (Equivariant) Chow groups and rings; motives, Algebraic cycles Rationality of motivic Chow series modulo \(\mathbb A^1\)-homotopy
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rational elliptic surface; Mordell-Weil group D. Fusi and A. L. Tironi, On rational elliptic surfaces with Mordell-Weil group of rank five, Boll. Unione Mat. Ital. (9), 3 (2010), 363-379. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces On rational elliptic surfaces with Mordell-Weil group of rank five
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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; abelian varieties; Hodge conjecture; Bloch conjecture Algebraic cycles, (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic moduli of abelian varieties, classification Generic cycles, Lefschetz representations, and the generalized Hodge and Bloch conjectures for abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Obus, A., \textit{on colmez's product formula for periods of CM-abelian varieties}, Math. Ann., 356, 401-418, (2013) Complex multiplication and moduli of abelian varieties, Curves over finite and local fields, Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties On Colmez's product formula for periods of CM-Abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; unramified cohomology; \(K\)-cohomology Pirutka, A.: Sur le groupe de Chow de codimension deux des variétés sur LES corps finis, Algebra number theory 5, 803-817 (2011) Finite ground fields in algebraic geometry, Elliptic curves over global fields On the Chow group of codimension two of 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 Kac-Moody algebras; principal bundles; derived geometry Stacks and moduli problems, Residues for several complex variables, Analytic sheaves and cohomology groups, Connections (general theory), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles
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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 K3 surfaces; Mordell-Weil rank; elliptic curves; Mordell-Weil theorem Kuwata, Masato, Elliptic \(K3\) surfaces with given Mordell-Weil rank, Comment. Math. Univ. St. Paul., 49, 1, 91-100, (2000) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational points Elliptic \(K3\) surfaces with given Mordell-Weil rank
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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 Special surfaces, Group actions on varieties or schemes (quotients), Ordinary representations and characters Symmetric cubic surfaces and \(G_2\) character 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 singular varieties; Hirzebruch-Riemann-Roch theorem; Chow ring; K- functor; Chern character [P2]C. Pedrini: ``Riemann-Roch and Chow theories for singular varieties{'' Preprint (1988).} Parametrization (Chow and Hilbert schemes), Riemann-Roch theorems, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Singularities in algebraic geometry Riemann-Roch and Chow theories for singular varieties
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