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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. regular mappings to spheres; algebraic approximation of mappings; product of real elliptic curves; real algebraic sets Bochnak J., Kucharz W.: Elliptic curves and real algebraic morphisms. J. Algebraic Geom. 2, 635--666 (1993) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Bloch Beilinson conjecture; Hodge theory; variations of Hodge structure; variations of complex structure; period mappings; cohomology classes of an analytic cycle; algebraic cycles; mixed Hodge structures; infinitesimal variations of the Hodge structure; Abel-Jacobi map; Chow groups Voisin, C., Théorie de Hodge et géométrie algébrique complexe, (2002), Société mathématique de France Paris, Cours spécialisés | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Revolution surfaces of \(2^nd\) degree; conditions; equation of \(2^nd\) degree with three variables; axis; equator; product of two variables | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. 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. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. higher Chow cycle; family of quartics; higher Chow group; singular Kummer 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. torsion points of elliptic curves; Iwasawa theory; Galois cohomology; maximal p-extension; \({bbfZ}_ p\)-extension; Galois groups; free pro-p- groups K. Wingberg , Galois groups of number fields generated by torsion points of elliptic curves . Nagoya Math. J 104 ( 1986 ), 43 - 53 . Article | MR 868436 | Zbl 0621.12011 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli spaces of stable curves; Deligne-Mumford moduli spaces; Gromov-Witten invariants; toric variety; quantum cohomology Spielberg, Holger, A formula for the {G}romov--{W}itten invariants of toric varieties, (None) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. three parameter family of elliptic curves; Mordell-Weil rank four; Prym varieties F. Hazama, Rational points on certain abelian varieties over function fields,J. Number Theory 50 (1995), 278--285. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. abelian variety; positive characteristic; product of supersingular elliptic curves; Frobenius; principal polarization T. Ibukiyama and T. Katsura: On the field of definition of superspecial polarized abelian varieties and type numbers, Compositio Math. 91 (1994), 37--46. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Euler characteristics; (commutative and noncommutative) compact \(p\)-adic Lie groups; cohomology groups; special values of \(L\)-functions; elliptic curves; Iwasawa algebra R. Sujatha, Euler-Poincare characteristics of \(p\)-adic Lie groups and arithmetic, preprint, 2000. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Deligne product; moduli spaces of curves; line bundles | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. family of elliptic curves; motivic cohomology Wildeshaus, J., On an elliptic analogue of zagier's conjecture, Duke Math. J., 87, 2, 355-407, (1997) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. hyperbolic three-manifolds; deformation of hyperbolic structures; Neumann-Zagier potential, Chern-Simons invariant; Deligne cohomology; variation of mixed Hodge structures. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. higher weight cycles; modular forms of Nebentypus; intersection multiplicities of cycles; Hirzebruch-Zagier cycle; quaternionic modular surface; elliptic modular form B. Brent Gordon, Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus, Bull. Amer. Math. Soc. (N.S.) 14 (1986), no. 2, 293 -- 298. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. arithmetic curves; algebraic \(K\)-theory; polylogarithms; mixed Tate-Hodge structures; motivic cohomology; Deligne cohomology; Tannaka categories; cohomology of Lie 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. symmetric product of Riemann surfaces; Jacobian; Abel-Jacobi map; higher cohomology groups Lazarsfeld, R., Cohomology on symmetric products, syzygies of canonical curves, and a theorem of kempf, No. 145, 89-97, (1993) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Dedekind ring; central simple algebra; hereditary R-order; Grothendieck group; finitely generated locally free \(\Lambda\)-modules; class group; finiteness theorems; affine k-algebra; Chow group; 0-dimensional cycles; conic bundle surface; sheaves of orders; Galois cohomology; global sections; Quillen resolution; Severi-Brauer schemes; reduced norm; Merkur'ev-Suslin theorems; cup-product; coordinate ring; smooth affine curve Salberger, P.:K-theory of orders and their Brauer-Severi schemes. Thesis, Department of Mathematics, University of G?teborg 1985 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cycle space; Chow variety; \(n\)-convexity; ample normal bundle; topological space of compact \(n\)-cycles; analytic families of cycles; reduction of convexity; Cartier divisor; higher integration maps Barlet, D.: How to use the cycle cpace in complex geometry. Several Complex Variables MSRI Publications, vol. 37, pp. 25--42, 1999 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. polarization; characteristic p; Jacobian variety; supersingular elliptic curves; prescribed automorphism group; curves of genus two; Hasse-Witt- matrix; class numbers of quaternionic algebras T.IBUKIYAMA, T.KATSURA, and F.OORT,\textit{Supersingular curves of genus two and class numbers}, Compositio Math. 57 (1986), no. 2, 127--152.MR827350 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. stable vector bundle; higher rank Brill-Noether theory; Petri map; general curve; chain of elliptic curves; stable vector bundles on curves. A. Castorena, A. López Martín, M. Teixidor i Bigas, Petri map for vector bundles near good bundles. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Calabi-Yau variety; algebraic cycle; Abel-Jacobi map; regulator; Deligne cohomology; Chow group Lewis, J. D.: Transcendental methods in the study of algebraic cycles with a special emphasis on Calabi-Yau varieties. In: Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds. Fields Institute Communications, vol. 67, 29-69, Springer, New York (2013) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. complete intersection of two plane curves; Hilbert function of a \(0\)- cycle D. S. Sodhi, ``Ice-induced vibrations of structures,'' Special Report 89-5, International Association for Hydraulic Research Working Group on Ice Forces, 1989. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. geometric approach to Eichler's arithmetic theory of definite quaternion algebras; modular forms of weight 3/2; Waldspurger's formula; elliptic curves with prime conductor; critical values of L-series; weight two cusp form; special points; height pairing B. H. Gross, ''Heights and the special values of \(L\)-series,'' in Number Theory, Providence, RI: Amer. Math. Soc., 1987, vol. 7, pp. 115-187. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. characteristic \(p\); Jacobian of a hyperelliptic curve; product of supersingular elliptic curves; genus; zero Hasse-Witt matrix Valentini, R., Hyperelliptic curves with zero Hasse-Witt matrix, Manuscr. Math., 86, 2, 185-194, (1995) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; Stark conjectures; conjecture of Birch and Swinnerton-Dyer; symbols; algebraic K-theory; algebraic geometry; Galois cohomology; group schemes; 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. product of two nonsingular projective curves defined over a finite field; order of the Brauer group; Artin-Tate formula; Artin-Mazur conjecture N. Yui, The arithmetic of the product of two Fermat curves over a finite field, preprint. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. logarithmic geometry; moduli of elliptic curves; elliptic cohomology; topological \(q\)-expansion; Witten genus; derived structure sheaf M. Hill T. Lawson Topological modular forms with level structure | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. biextensions; higher Chow groups; algebraic cycles; incidence equivalence; Poincaré biextension; Abel-Jacobi map; Deligne-Beilinson cohomology; torsors; Griffiths' conjecture S. Müller-Stach, \(\mathbb{C}^{*}\)-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles , \(K\)-Theory 9 (1995), 395-406. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. compatibility for products; cohomology theories; Bloch's higher Chow groups; bivariant cycle cohomology; motivic cohomology; étale cohomology Weibel C. , Products in higher Chow groups and motivic cohomology , in: Algebraic K -theory (Seattle, WA, 1997) , Proceedings of Symposia in Pure Math. , 67 , 1999 , pp. 305 - 315 . MR 1743246 | Zbl 0942.19003 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Chow group; cycle map; Deligne-Beilinson cohomology; intermediate cohomology theory Esnault H. (1990). A note on the cycle map. J. Reine Angew. Math. 411: 51--65 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. \(K3\) surface; Legendre family of elliptic curves; mirror map; periods; Deligne's periods | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli space of curves; Chow ring; tautological classes; algebraic cohomology ring; hard Lefschetz property; Hodge positivity property Faber, C., \textit{A conjectural description of the tautological ring of the moduli space of curves}, Moduli of curves and abelian varieties, 109-129, (1999), Vieweg, Braunschweig | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. currents; Deligne cohomology; regulator; Abel-Jacobi map; higher Chow group Kerr, M., Lewis, J.D., Lopatto, P.: Simplicial Abel-Jacobi maps and reciprocity laws, preprint (2015). arXiv:1502.05459 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. zeta functions of arithmetic schemes; Hasse-Weil \(L\)-functions of curves over global fields; zeta functions of elliptic curves over number fields; zeta functions of arithmetic schemes; mean-periodicity; boundary terms of zeta integrals; higher adelic analysis Ivan Fesenko, Guillaume Ricotta, and Masatoshi Suzuki, Mean-periodicity and zeta functions, Ann. Inst. Fourier (Grenoble) 62 (2012), no. 5, 1819 -- 1887 (English, with English and French summaries). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. polarized regular motives; critical values of \(L\)-functions; motives over \(\mathbb{Q}\); self-dual cohomological cuspidal automorphic representations of the adeles of \(\text{GL}(n, \mathbb{Q})\); Deligne's conjecture; absolute Hodge motives; Deligne periods; Shimura varieties; period integrals; Tate conjecture on cycle classes in \(\ell\)-adic cohomology Harris, M., \textit{L}-functions and periods of polarized regular motives, J. Reine Angew. Math., 483, 75-161, (1997) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. algebraic cycle; higher Chow group; motivic cohomology; Milnor \(K\)-theory | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. product of elliptic curves; Milnor K-group; Albanese kernel; Jacobian variety Somekawa, M., On Milnor \textit{K}-groups attached to semi-abelian varieties, K-Theory, 4, 2, 105-119, (1990), MR 1081654 (91k:11052) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. representation of integers as sums of two cubes of rational numbers; Jacobian; Sylvester's conjecture; rational points on certain elliptic curves; algebraic points; action of certain Frobenius elements | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. singularities of the theta divisor; polarized product of elliptic curves; principally polarized abelian variety R. Smith and R. Varley, ''Multiplicity \(g\) points on theta divisors,'' Duke Math. J., vol. 82, iss. 2, pp. 319-326, 1996. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. p-adic K-groups of a smooth variety; elliptic curves; higher p-adic regulator maps; values of a p-adic L-function; generalized conjecture of Birch and Swinnerton-Dyer Soulé, p-Adic K-theory of elliptic curves, Duke Math. J. 54 pp 249-- (1987) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. algebraic cycles; polylogarithms; derived category of mixed motivic sheaves; motivic cohomology; higher Chow groups; effective geometric motives; Nisnevich sheaves; Tannakian category; mixed Tate motives S. Bloch, Lectures of mixed motives, in: Algebraic Geometry --- Santa Cruz 1995, Proceedings of the Symposium on Pure Mathematics, vol. 62, Part 1, American Mathematical Society, 1997, pp. 329 -- 359. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli spaces of curves; Deligne-Mumford compactification; Chow rings; tautological rings; Faber's conjecture Carel Faber, ``Modular forms and the cohomology of moduli spaces'', | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Deligne cohomology; higher cycle | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. two-dimensional topological quantum field theory; symplectic manifolds; moduli spaces of algebraic curves; quantum cohomology Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995), 259-367. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; algebraic curves; group schemes; modular functions; \(L\)-functions; theta functions; Fermat's last theorem; conjecture of Birch and Swinnerton-Dyer; Shimura-Taniyama-Weil conjecture; Calabi-Yau varieties; string theory; cryptography; Hopf algebroids; elliptic cohomology Husemöller, D.: Elliptic Curves. Graduate Texts in Mathematics, 2nd edn. Springer, Berlin (2004) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. modular elliptic curve; Chow group of zero-cycles; cycle map DOI: 10.1215/S0012-7094-96-08514-2 | 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. sigma form of Painlevé VI; two-point correlation functions of the lattice Ising model; Fuchsian linear differential equations; complete elliptic integrals; elliptic representation of Painlevé VI; scaling limit of the Ising model; susceptibility of the Ising model; singular behaviour; Fuchsian linear differential equations; apparent singularities; Landau singularities; pinch singularities; modular forms; Landen transformation; isogenies of elliptic curves; complex multiplication; Heegner numbers; moduli space of curves; pointed curves S. Boukraa, S. Hassani, J.-M. Maillard, B. M. McCoy, W. P. Orrick, and N. Zenine, ``Holonomy of the Ising model form factors,'' Journal of Physics A, vol. 40, no. 1, pp. 75-111, 2007. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. \(K\)-theory; algebraic motives; Weil cohomology; Grothendieck motives; higher Chow groups; mixed motives; triangulated category; standard conjectures on algebraic cycle classes Hanamura, Math. Res. Lett. 2 pp 811-- (1995) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. étale cohomology; Chow groups; cokernel; kernel of the cycle class map; Pfister form; Witt ring; Albert form; unramified Witt class; function field of a quadric Bruno Kahn, Lower \Bbb H-cohomology of higher-dimensional quadrics, Arch. Math. (Basel) 65 (1995), no. 3, 244 -- 250. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Kummer surface; product of elliptic curves; Jacobians of stable reducible 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. cohomology; moduli spaces; curves of genus three; point counts; Galois representations; Hodge structures Bergström, Cohomology of moduli spaces of curves of genus three via point counts, J. Reine Angew. Math. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Chow group; Hodge theory; algebraic cycle; regulator; Deligne cohomology; Beilinson-Hodge conjecture; Abel-Jacobi map; Bloch-Beilinson filtration | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. linkage; vanishing theorem for the cohomology of arithmetically Buchsbaum curves; set theoretic intersection of three hypersurfaces Ellia Ph., Fiorentini M., Quelques remarques sur les courbes arithmétiquement Buchsbaum de l'espace projectif, Ann. Univ. Ferrara Sez. VII, 1987, 33, 89--111 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. algebraic \(K\)-theory; complex surfaces; higher Chow groups; Deligne-Beilinson cohomology Pedrini, C; Weibel, C, The higher \(K\)-theory of a complex surface, Compos. Math., 129, 239-271, (2001) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cohomology of finite groups; arithmetic 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. direct product of elliptic curves; Hodge conjecture; 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. Chow group; Hodge theory; algebraic cycle; regulator; Deligne cohomology; Beilinson-Hodge conjecture; Abel-Jacobi map; Bloch-Beilinson filtration | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. higher Chow group; Deligne cohomology Chen X. and Lewis J.\ D., The Hodge-\({\mathcal{D}}\)-conjecture for \(K3\) and Abelian surfaces, J. Algebraic Geom. 14 (2005), no. 2, 213-240. | 1 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. monads; higher Chow complex; operads; unital \(k\)-algebras; little \(n\)-cubes operad; tensor category; braid algebras; mixed Tate motives; symmetric monoidal category; operad of spaces; iterated loop spaces; higher Chow groups; Adams operations; derived category; integral mixed Tate modules; derived categories of modules; DGA; triangulated category; Tannakian category; Hopf algebra; co-Lie algebra; Beilinson-Soulé conjecture; operadic tensor product; cellular approximation theorem Kriz, I.; May, J. P., Operads, algebras, modules and motives, Astérisque, 233, (1995), iv+145 pp | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. K3 surfaces; products of two elliptic curves; Jacobian fibrations; Mordell-Weil groups Nishiyama, K.: The Jacobian fibrations on some\textit{K}3 surfaces and their Mordell-- Weil groups. \textit{Japan. J. Math. (N.S.)}22 (1996), no. 2, 293--347. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. conjecture of C. Voisin; arithmetic mixed sheaves; arithmetic mixed Hodge structures; second Abel-Jacobi map; zero cycles; codimension two cycles; higher Chow groups M. Saito, Arithmetic mixed sheaves , Invent. Math. 144 (2001), 533--569. \CMP1 833 893 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Chow group; algebraic cycle; regulator; Beilinson-Hodge conjecture; Abel-Jacobi map; Deligne cohomology de Jeu, R., Lewis, J.D (with an appendix by M. Asakura): Beilinson's Hodge conjecture for smooth varieties. J K-Theory \textbf{11}(2), 243-282 (2013) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. genus three curves; algebraic correspondences; Calabi-Yau threefolds; Hodge structures; variation of Hodge structures; cycle 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. Hodge conjecture; higher Chow group; Deligne cohomology Asakura, M.: On \(d\log \) of elliptic surface minus singular fibers, preprint (2006). arXiv:math/0511190v4 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. period map; Schottky groups parametrized by a rigid analytic space; family of Mumford curves; p-adic Siegel half space; de Rham cohomology group; infinite automorphic product; Gauss-Manin connection; Tate curve; principal theta function L. Gerritzen,Periods and Gauss-Manin connection for families of p-adic Schottky groups, Math. Ann.275 (1986), 425--453. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; cryptosystems; discrete logarithm; group of rational points; elliptic curve over a finite field; practical implementations; algorithms; running times R. Harasawa, J. Shikata, J. Suzuki, H. Imai, Comparing the MOV and FR reductions in elliptic curve cryptography, in: Advances in Cryptology--Eurocrypt '99, Lecture Notes in Computer Science, Vol. 1592, Springer, Berlin, 1999, pp. 190--205. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; modular forms; \(p\)-adic cohomology; zeta function; 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. cyclic covering of a hyperelliptic curve; isogenous to the product of two Jacobians | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. \(p\)-adic \(L\)-functions; elliptic curves; rational points; cyclotomic characters; interpolation; projective limit of the group of global units; \(p\)-adic height Perrin-Riou, Bernadette, Fonctions \(L\) \(p\)-adiques d'une courbe elliptique et points rationnels, Ann. Inst. Fourier (Grenoble), 0373-0956, 43, 4, 945-995, (1993) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. hyperbolic fibre space; higher dimensional analogue of Mordell's conjecture for curves; hyperbolic manifolds; algebraic families of hyperbolic varieties; Mordell's conjecture over function fields Noguchi, J.Hyperbolic fiber spaces and Mordell's conjecture over function fields, Publ. Research Institute Math. Sciences Kyoto University21, No. 1 (1985), 27--46. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. varieties over a finite fields; zeta functions; bielliptic surfaces; albanese mapping; elliptic curves; étale cohomology; Frobenius morphism; isogeny class Рыбаков, С. Ю., Дзета-функции биэллиптических поверхностей над конечными полями, Матем. заметки, 83, 2, 273-285, (2008) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. \(K\)-group; semi-abelian varieties; product of curves over a finite field B. Kahn, Nullité de certains groupes attachés aux variétés semi-abéliennes sur un corps fini; application, C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 13, 1039--1042. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. integral points; Lang's conjecture; canonical height; Szpiro's conjecture; discriminant; bound for the number of torsion points on elliptic curves [10]M. Hindry and J. H. Silverman, The canonical height and integral points on elliptic curves, Invent. Math. 93 (1988), 419--450. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; mappings; isogenies; orders of elliptic curves; \(j\)-invariants | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Galois representations; varieties over local ground fields; étale cohomology; motivic Galois representations; elliptic curves J. Coates, R. Sujatha and J.-P. Wintenberger, On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations, Publ. Math. Inst. Hautes Études Sci. 93 (2001), 107-143. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. tautological rings; moduli spaces of curves; Chow motives; twisted commutative 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. arithmetic function; number of factorizations of an integer; group of rational points; 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. generalization of class field theory; local fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor; global 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. Borel conjecture; \(L^ 2\)-cohomology of locally symmetric varieties; modular curves; automorphic forms; intersection cohomology; Zucker 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. Gromov-Witten invariants; enumerative geometry; number of elliptic plane curves Pandharipande, R, Counting elliptic plane curves with fixed \(j\)-invariant, Proc. Am. Math. Soc., 125, 3471-3479, (1997) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. number of non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. bundle (=pencil) of plane algebraic curves; bundle (=pencil) of conics; cyclic points at infinity; bundle (=pencil) of circles; theorem of the three conics | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. subvarieties of moduli spaces of curves; effective cones; higher codimensional cycles; hyperelliptic 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. formal characters of torus; connected, reductive algebraic group; Borel subgroup; character group; Hochschild cohomology; Weyl's character formula; Kostant's multiplicity formula; Steinberg's tensor product formula | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. degeneration; flat families of subschemes; codimension two; subcanonical space curves; complete intersection space 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. generators of modules; Chow group; zero-cycle | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. conjecture of Beilinson and Bloch; rank of the Griffiths group; smooth projective variety over a number field; order of vanishing of an L-function; elliptic curves J. Buhler, C. Schoen, and J. Top, ''Cycles, \(L\)-functions and triple products of elliptic curves,'' J. reine angew. Math., vol. 492, pp. 93-133, 1997. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Abel-Jacobi map; cycle class; higher Chow cycle | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. two-step flag manifolds; puzzle conjecture; cohomology product structure constants; small quantum cohomology A. Buch, A. Kresch, K. Purbhoo, and H. Tamvakis. ''The puzzle conjecture for the cohomol ogy of two-step flag manifolds''. 2014. arXiv:1401.1725. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Brauer groups of elliptic curves; torsion; group of rational points; non-dyadic 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. regulator map; Deligne cohomology; holomorphic gerbes; sheaves of categories Brylinski, J.-L., Holomorphic gerbes and the Beilinson regulator, Strasbourg, 1992. Strasbourg, 1992, Astérisque, 226, 8, 145-174, (1994), \textit{K}-theory | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli of stable curves; Deligne-Mumford semistable curves; Simpson scheme López~Martín, A.C., Simpson Jacobians of reducible curves, J. reine angew. math., 582, 1-39, (2005) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. motivic cohomology complexes; polylogarithm; higher Chow groups; motives Lichtenbaum, S.: Motivic complexes. In: Motives (Seattle, WA, 1991), pp. 303--313 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Tate constant; hypergeometric differential equation; Legendre family of elliptic curves; Tate curve; Picard-Fuchs equation; Hasse-Witt matrix; formal 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. quadratic form; function field of a quadratic form; \(u\)-invariant; quadratic forms with maximal splitting; torsion of Chow groups of quadrics; unramified cohomology of quadrics Izhboldin, O. T., Fields of \(u\)-invariant 9, Ann. of Math., 154, 529-587, (2001) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. curves of genus \(g\); Green's conjecture; Koszul 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. Hamiltonian families of curves on three-dimensional 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. Jacobian varieties; curves of genus three J. Romero-Valencia and A.G. Zamora, Explicit constructions for genus 3 Jacobians, Preprint (2009), arXiv:math/0904.4537v1[math.AG]. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Elliptic curve cryptography; oblivious transfer; one-out-of-two oblivious transfer DOI: 10.1080/01611190601144478 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cohomology of moduli spaces of curves; curves over finite fields; hyperelliptic curves J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. | 0 |
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