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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. Gröbner bases; syzygies; resolution of singularities; monodromy; Brieskorn lattice; Tate resolution; cohomology of coherent sheaves; Beilinson monads; invariant rings; binary forms; Green's conjecture; construction of canonical curves Schreyer, F.O.: Some topics in computational algebraic geometry. In: Conference Proceedings of 'Advances in Algebra and Geometry, Hyderabad 2001, pp. 263--278 (2003) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. derived category; exceptional sequence; quasiphantom category; surfaces of general type; surfaces isogenous to a higher product | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. lower bound for the rank 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. moduli space; stable bundles of rank two and degree d; Chern class; De Rham cohomology Gieseker, D., \textit{A degeneration of the moduli space of stable bundles}, J. Differential Geom., 19, 173-206, (1984) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. rational curves; degenerations of hypersurfaces; Hilbert scheme; Chern class; Segre class; Chow group | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. double coverings; nef cone; symmetric product of curves Chan, K.: A characterization of double covers of curves in terms of the ample cone of second symmetric product. J. Pure Appl. Algebra \textbf{212}(12):2623-2632 (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. smash product of Galois algebras; fppf-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. complex multiplication; elliptic curves; Hecke characters of imaginary quadratic 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. moduli space of stable curves; rational cohomology ring; natural classes; \(n\)-pointed curves; tautological ring Cornalba, Cohomology of moduli spaces of stable curves, Proceedings of the International Congress of Mathematicians, Doc. Math. Extra Vol. II pp 249-- (1998) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. evaluation of L-series; Heegner points on elliptic curves; Birch-Stephens conjecture; Tate height of the canonical rational points B. J. Birch and N. M. Stephens, ''Computation of Heegner points,'' in Modular Forms, Chichester: Horwood, 1984, pp. 13-41. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 curves; Poincaré-Hodge polynomial; symmetric product of a compact Kähler manifold J. Burillo, ''The Poincaré-Hodge Polynomial of a Symmetric Product of Compact Kähler Manifolds,'' Collect. Math. 41, 59--69 (1990). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. families of curves; \(\ell\)-adic cohomology; monodromy representation; degenerations; logarithmic geometry Stix J.: A logarithmic view towards semistable reduction. J. Algebraic Geom. 14(1), 119--136 (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. Koszul cohomology; rank two vector bundle on 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. higher Chow group; motivic cohomology Satoshi Kondo & Seidai Yasuda, ``On two higher Chow groups of schemes over a finite field.'', Doc. Math.20 (2015), p. 737-752 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 cryptosystems; generation of prime order elliptic curves; complex multiplication; class field polynomials Elisavet Konstantinou, Aristides Kontogeorgis, Yannis C. Stamatiou, and Christos Zaroliagis, Generating prime order elliptic curves: difficulties and efficiency considerations, Information security and cryptology --- ICISC 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 261 -- 278. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. irreducible Galois representations; arithmetic of number fields; division points of elliptic curves; projective vectors; complex Galois representations; automorphic representations; \(\ell -adic\) representation | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. crystalline cohomology of modular curves; étale cohomology; \(p\)-divisible group; Shimura curve; Fontaine's conjecture Faltings, Gerd, Crystalline cohomology of semistable curve\textemdash the \({\mathbf Q}_p\)-theory, J. Algebraic Geom., 1056-3911, 6, 1, 1\textendash 18 pp., (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. representations of knot groups in SO(3) and SU(2); real plane algebraic curves; singularities; Dehn surgery along a two-bridge knot Burde, G., \(S U(2)\)-representation spaces for two-bridge knot groups, Math. Ann., 288, 103-119, (1990) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. little discs operads; Hochschild cohomology; algebras of observables; quantum mechanics; deformation quantization; gauge transformations; gauge equivalence class; star products; Poisson manifold; graded Lie superalgebra; Feynman diagrams; Grothendieck-Teichmüller group; operads; algebras over operads; formality theorem; motivic Galois group; higher-dimensional algebras; motives; quantum field theories Maxim Kontsevich, ``Operads and motives in deformation quantization'', Lett. Math. Phys.48 (1999) no. 1, p. 35-72 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 groups; motivic cohomology J. Park, \textsl{Regulators on additive higher Chow groups}, Amer. J. Math., \textbf{131}, (2009), no. 1, 257--276. DOI 10.1353/ajm.0.0035; zbl 1176.14001; MR2488491; arxiv math/0605702 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. minimal models; elliptic curves with complex multiplication; Néron model; differential of Weierstraß model Gross, B. H., Minimal models for elliptic curves with complex multiplication, Compos. Math., 45, 155-164, (1982) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 isogenies 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. Elliptic curve; Tate-Shafarevich group; Selmer group; Pontrjagin dual; formal group; Galois cohomology; cup product; de Rham cohomology; étale cohomology; crystalline cohomology; Néron period; Tate module Kurihara M., ''On the Tate-Shafarevich Groups Over Cyclotomic Fields of an Elliptic Curve with Supersingular Reduction.'' (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. cohomological Hasse principle; zeta function; Chow group; Bloch map; unramified class field theory, étale cohomology, cycle map, Milnor \(K\)-group; intersection theory; arithmetic geometry; algebraic 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. supersingular elliptic curves over finite fields; Weierstrass equation; number of rational points F. Morain, Classes d'isomorphismes des courbes elliptiques supersingulières en caracteristique . Util. Math. 52, 241--253 (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. stable degeneration; isogeny; product of curves D. Mckenzie, On uniformization of compact complex manifolds with negative first Chern class by bounded symmetric domains, Master thesis, Univ. of Cape Town, 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. third order curves; plane curves; homogeneous functions; projectivity; involution; projective properties of conics; pencil of conics; polar properties; Steiner system; Hesse' curve; pencil of third order curves; Cayley' curve; cubic involution; Steiner's polygon; elliptic functions | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. multilinear algebra; tensor products; algebraic varieties; secant varieties; representation theory; complexity theory; matrices; monograph; textbook; matrix multiplication; tensor decomposition; tensor network; border rank; tensor calculus; projective algebraic geometry; Terracini's Lemma; polynomial Waring problem; Segre varieties; signal processing; Littlewood-Richardson rule; Pieri's formula; Strassen's equation; Young flattening; Friedland's equation; Fano varieties of line; Chow varieties of zero cycle; Brill's equation; normal form; Konstant's theorem; Bott-Borel-Weil theorem; Koszul sequences; syzygies J. M. Landsberg, \textit{Tensors: Geometry and Applications}, American Mathematical Society, Providence, RI, 2012. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. S-algebras; algebraic K-theory of spaces; quantum field theories; elliptic curves; modular forms; even unimodular lattices | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. vertex operator; parabolic bundle; Verlinde formula; Clebsch-Gordan condition; two dimensional conformal field theory; affine Lie algebra; conformal vacua; highest weight; moduli space of curves Franco, D.: An infinitesimal Torelli for conformal vacua. Comm. Algebra 31, 3795--3810 (2003) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Fano manifold; normal projective connection; deformation of a map; scheme; higher direct image sheaf; ample bundle; Chern class; rational curves Ye, Y.-G.: On Fano manifolds with normal projective connections.Int. J. Math. 5 (1994), 265-271. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 degree equations; 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. Jacobians; theta-functions; iterated integrals; Epstein zeta function; product of two L-functions; Fermat quartic | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Namba's conjecture; hypergeometric series over finite fields; elliptic curves; trace of the Frobenius map Koike, M., Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields, Hiroshima Math. J., 25, 1, 43-52, (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 cohomology; topological modular forms; resolution of the sphere spectrum; chromatic filtration M. Behrens, A modular description of the \(K(2)\)-local sphere at the prime 3, Topology 45 (2006), no. 2, 343--402. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. mixed motives; Nisnevich topology; integral motivic cohomology; higher Chow groups; l-adic independency; cdh-topology Cisinski, D. C.; Déglise, F., Integral mixed motives in equal characteristic, (Documenta Mathematica, Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday, (2015)), 145-194 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; elliptic schemes; cohomology; Morava E-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. algebraic \(K\)-theory; algebraic cycles; intersection theory; Chow ring; Deligne-Beilinson cohomology; Hodge conjecture; de Rham cohomology; motives Murre, J.P.: Algebraic cycles and algebraic aspects of cohomology and k-theory, In: Albano, A., Bardelli, F. (eds.) Algebraic Cycles and Hodge Theory, Lecture Notes in Mathematics, vol. 1594, pp. 93-152 (1994) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. deformation of symmetric product of curves; hyperelliptic 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. canonical height; curves of genus two; rational torsion; Jacobian Stoll, M., On the height constant for curves of genus two, Acta Arith., 90, 2, 183-201, (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. moduli spaces of stable pointed curves; Weil-Petersson volumes; 1-dimensional cohomological field theories; rational cohomology classes Kaufmann, R.; Manin, Yu.; Zagier, D., Higher {W}eil-{P}etersson volumes of moduli spaces of stable {\(n\)}-pointed curves, Comm. Math. Phys., 181, 3, 763-787, (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. Dirichlet twists of \(L\)-functions; Elliptic curves over number fields Fearnley, J.; Kisilevsky, H.; Kuwata, M., Vanishing and non-vanishing Dirichlet twists of \textit{L}-functions of elliptic curves, J. lond. math. soc. (2), 86, 2, 539-557, (2012) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. hyper-Kähler manifolds of type \(A_\infty\); Kodaira type; universal cover; fiber space 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. differential Horace lemma; prescribed singularities; Picard group; cohomology groups of line bundles; plane curves; geometric genus Mignon, T., Courbes lisses sur les surfaces rationnelles génériques: Un lemme d'Horace différentiel, Ann. Inst. Fourier (Grenoble), 50, 6, 1709-1744, (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. Brauer group; Prym variety; symmetric product 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. modular forms; moduli stacks of elliptic curves; Cohen-Macaulay | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 logarithms; Deligne cohomology; Chern classes; functional equation Richard M. Hain, The existence of higher logarithms, Compositio Math. 100 (1996), no. 3, 247 -- 276. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. textbook; number theory; elliptic curves; arithmetic algebraic geometry; diophantine geometry; computational number theory; cryptography; group cohomology J.H. Silverman, \textit{The arithmetic of elliptic curves}, Graduate Texts in Mathematics \textbf{106}, Springer, Dordrecht, Netherlands (2009). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 degree diophantine equations; elliptic curves; modular representations; Taniyama-Weil 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. number of nonsingular plane elliptic curves; finite ground field Schoof, René, Nonsingular plane cubic curves over finite fields, J. Comb. Theory, Ser. A, 46, 2, 183-211, (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. dual curve; characteristic \(p\); strange curves of higher order; osculating planes Kaji, H.,Strangeness of higher order for space curves. Comm. Alg. 20 (1992), 1535--1584. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Laurent polynomials; Cayley-Koszul complex; determinant; discriminant of a polynomial in two indeterminates; elliptic curve Gel'fand, I.; Zelevinskiǐand, A.; Kapranov, M., Discriminants of polynomials in several variables and triangulations of Newton polyhedra, Algebra i Analiz, 2, 1, (1990) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. complex abstract Wiener space; strictly positive selfadjoint operator; exterior product bundle; \(L^ 2\)-sections; \(\overline{\partial}\)- cohomology group; space of harmonic \((p,q)\)-forms; de Rham-Hodge- Kodaira's decomposition T. Nishimura, ''Exterior product bundle over complex abstract Wiener space,''Osaka J. Math.,29, No. 2, 233--245 (1992). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 pairing; discrete logarithm; elliptic curves; multiplicative group of finite fields Frey, G.; Müller, M.; Rüuck, H., The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems, IEEE Transactions on Information Theory, 45, 5, 1717-1719, (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. moduli space of stable curves; integrable systems; cohomological field theories; double ramification cycle; double ramification hierarchy Rossi, P., Integrability, quantization and moduli spaces of curves, SIGMA, 13, (2017) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; mixed Hodge structures; extensions; regulators; curves; Jacobians; higher Chow cycles; motivic 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. moduli spaces of curves; curves with level structures; mapping class groups; Torelli group; homology and cohomology of groups; Johnson homomorphism; homological stability A. Putman, The Torelli group and congruence subgroups of the mapping class group, Moduli spaces of Riemann surfaces, IAS/Park City Math. Ser. 20, American Mathematical Society, Providence (2013), 169-196. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 surfaces; elliptic curves over function fields; generators of Mordell-Weil group; Kodaira-Néron model; number of minimal sections; specialization homomorphisms | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. rank 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. \(L\)-functions of elliptic curves; modularity of elliptic curves; Shimura varieties; motivic Galois modules; mixed Tate motives; Taniyama conjecture; Wiles' famous theorem | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; algebraic cycles; Chow group; codimension two cycles; Abel-Jacobi map; norm residue map; higher Picard variety Murre, J.P., Applications of algebraic \textit{K}-theory to the theory of algebraic cycles, (Algebraic geometry, Sitges (Barcelona), 1983, Lecture notes in math., vol. 1124, (1985), Springer Berlin), 216-261 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; quantum cohomology; toric varieties; symplectic manifolds; moduli spaces of stable curves; cohomology classes Spielberg, H.: Multiple quantum products in toric varieties, Int. J. Math. math. Sci. 31, No. 11, 675-686 (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. elliptic curves; Cartan modular curves; trace of Hecke operators; cusp forms; Selberg trace formula; non-split dihedral representation; Jacobians; isogeny; explicit formula Chen, Imin, The Jacobians of non-split Cartan modular curves, Proc. London Math. Soc. (3), 77, 1, 1-38, (1998) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. supergroups of automorphisms; supergeometry; supermanifold; elliptic supersymmetric curves; SUSY Levin, A. M., Supersymmetric elliptic curves, Funct. Anal. Appl., 21, 3, 243-244, (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. finiteness of Tate-Shafarevich groups of elliptic curves with complex multiplication; elliptic unit; descent | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. classification up to isomorphism; elementary equivalence; function fields over algebraically closed fields; function fields of curves; elliptic curves D. Pierce , Function fields and elementary equivalence . Bull. London Math. Soc. 31 ( 1999 ), 431 - 440 . MR 1687564 | Zbl 0959.03022 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; moduli space of curves; quantum cohomology Kimura, T.; Liu, X., A genus-3 topological recursion relation, Comm. Math. Phys., 262, 645, (2006) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. surfaces; actions of two-groups; complete intersections; complex projective curves Gómez Gutiérrez, V; López de Medrano, S, Surfaces as complete intersections, Contemp. Math., 629, 171-180, (2014) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Beilinson-Deligne cohomology; derived category of weakly admissible filtered modules --------, Syntomic cohomology as a \(p\)-adic absolute Hodge cohomology , to appear in Math. Z. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 homology; codimension 1 cycles; higher Chow groups Friedlander, E. M., \textit{some computations of algebraic cycle homology}, Proceedings of conference on algebraic geometry and ring theory in honor of Michael Artin, Part III (Antwerp, 1992), Vol. 8, 271-285, (1994) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; elliptic functions; Riemann surfaces of genus one Edwards, H.M.: A normal form for elliptic curves. Bulletin of the American Mathematical Society~44, 393--422 (2007), http://www.ams.org/bull/2007-44-03/S0273-0979-07-01153-6/home.html (Cited in {\S}2.2) | 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. Mordell-Weil groups of elliptic curves with complex; multiplication; Weil parametrizations; L-function attached to a Weil curve; anti-cyclotomic tower; Iwasawa theory of elliptic curves; p-adic height pairing; p-adic L-functions; p-adic Heegner measures; finiteness of the Tate-Shafarevich group; Mordell-Weil groups of elliptic curves with complex multiplication B. Mazur, Modular curves and arithmetic, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983) PWN, Warsaw, 1984, pp. 185 -- 211. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. explicit computations of Chow rings; regular quadratic forms; product formula; quadrics Shapiro, D.B.; Szyjewski, M., Product formulas for quadratic forms, Bol. soc. mat. mexicana, 37, 463-474, (1992) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. factoring integers; cryptography; elliptic curve computations over fields of characteristic two; ElGamal cryptosystem A.J. Menezes, S. Vanstone, The implementation of elliptic curve cryptosystems, in: Advances in cryptology --- AUSCRYPT '90, Lecture Notes in Computer Science, vol. 453, Springer, Berlin, 1990, pp. 2 -- 13. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 points of intersection of two space curves; hypersurface containing two space curves Diaz, S.: Space curves that intersect often, Pac. J. Math. 123, No. 2, 263-267 (1986) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 conjecture of Gross-Deligne; complex multiplication; arithmetic fixed point formula; equivariant analytic torsion; Hodge conjecture; de Rham cohomology; Betti structure Maillot, V; Rössler, D, On the periods of motives with complex multiplication and a conjecture of Gross-Deligne, Ann. Math., 160, 727-754, (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 parametrizations of elliptic curves; Manin constant; isogeny class; minimal Parshin-Faltings height; Stickelberger elements; Antwerp tables Stevens, G.: Stickelberger elements and modular parametrizations of elliptic curves. Invent. Math. 98(1), 75--106 (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. elliptic normal curves; irregular surfaces in \(\mathbb{P}^4\); Hartshorne-Rao modules; Heisenberg modules; Moore matrices; syzygies of bielliptic surfaces; abelian surfaces; liaison; elliptic scrolls Alf Aure, Wolfram Decker, Klaus Hulek, Sorin Popescu, and Kristian Ranestad, Syzygies of abelian and bielliptic surfaces in \?\(^{4}\), Internat. J. Math. 8 (1997), no. 7, 849 -- 919. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. irreducible characters; finite groups of Lie type; connected reductive group; Frobenius map; maximal torus; Borel subgroup; Deligne-Lusztig virtual characters; \(\ell \)-adic cohomology; semisimple classes; Jordan decomposition; irreducible constituents | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Gauge theory with finite gauge group; cobordism; topological quantum field theory; Picard groupoid of Hermitian lines; cohomology with coefficeints in Picard groupoid; gerbe; cap product | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 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. spinor variety; orthogonal Grassmannian; elliptic curve; quantum cohomology; Chow group | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. torsion points of elliptic curves; ramification; Kummer generators | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. weight distributions of families of codes; families of elliptic curves over finite fields; numbers of rational points on the 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. codimension-two subscheme; cohomology of complete intersection; smooth deformation Sauer, T.: Codimension-two subvarieties of ? n with the cohomology of a complete intersection. Math. Z.188, 143-148 (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. flag variety; number of double contacts; families of plane curves; Chow groups; triple contacts | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 height function; Fermat Last Theorem; finiteness conjectures in Diophantine geometry; degenerate set of integral points; analogy between the theory of Diophantine approximation in number theory and value distribution theory; Nevanlinna theory; local height function; abc- conjecture; size of integral points on elliptic curves P. Vojta, Diophantine Approximations and Value Distribution Theory, Lecture Notes in Math. 1239, Springer, Berlin, 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. elliptic curves over global fields; arithmetic surfaces; zeta function; zeta integral; two-dimensional adelic spaces; harmonic analysis; Hasse zeta functions; analytic duality; boundary term; meromorphic continuation and functional equation; mean-periodic functions; Laplace; Carleman transform; generalized Riemann hypothesis; Birch and Swinnerton; Dyer conjecture; automorphic representations Fesenko, I.: Adelic approach to the zeta function of arithmetic schemes in dimension two. Moscow Math. J. \textbf{8}(2), 273-317 (2008) (http://www.maths.nottingham.ac.uk/personal/ibf/ada.pdf) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. coherent functor; noetherian ring; discrete valuation ring; coherent sheaf; cohomology of sheaves; duality; liaison; Rao functor; space curves; linkage Hartshorne, R., \textit{coherent functors}, Adv. Math., 140, 44-94, (1998) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. arithmetically C-M space curve; numerical character; maximal rank curves in the linkage class of two skew lines Bolondi, G.: On the classification of curves linked to two skew lines. Texte zur Mathematik, no. 92, 38-52 (1986) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 forms; topological modular forms; tmf; moduli stack 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. moduli space of curves; double ramification cycle; universal Jacobian | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Chern class; Hodge bundle; moduli spaces of principally polarized abelian varieties; moduli space of curves with a level two structure; theta characteristic; Weierstrass points Hain, R; Reed, D, Geometric proofs of some results of Morita, J. Algebraic Geom., 10, 199-217, (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. higher Chow groups; linear varieties; Künneth spectral sequences; motivic cohomology; Künneth formula R Joshua, Algebraic \(K\)-theory and higher Chow groups of linear varieties, Math. Proc. Cambridge Philos. Soc. 130 (2001) 37 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Riemann surfaces; holomorphic functions; algebraic curves; de Rham cohomology; elliptic functions; elliptic integrals; uniformization; Jacobians; moduli spaces; deformations Donaldson, S., Riemann Surfaces, Oxford Graduate Texts in Mathematics, vol. 22, (2011), Oxford University Press: Oxford University Press Oxford | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. duality theorem of Galois cohomology groups related to abelian varieties; higher dimensional local fields; Weil-Barsotti formula; higher Tate duality Yoshihiro Koya. On a duality theorem of abelian varieties over higher dimensional local fields. {\em Kodai Math. J.}, 2:297--308, 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. zeta-functions of binary Hermitian forms; representations of numbers; genus; Dirichlet series; local densities; Hilbert symbol; Eisenstein series; tables; special values of Eisenstein series; representation numbers; Fourier coefficients of cusp forms of weight 2; L-series of certain elliptic curves; periods Jürgen Elstrodt, Fritz Grunewald, and Jens Mennicke, Zeta-functions of binary Hermitian forms and special values of Eisenstein series on three-dimensional hyperbolic space, Math. Ann. 277 (1987), no. 4, 655 -- 708. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. computational number theory; elliptic curve method; probabilistic algorithm; factorization method; multiplicative groups of elliptic curves over finite fields; running time; comparison Lenstra, H. W., Factoring integers with elliptic curves, \textit{Annals of Mathematics}, 126, 3, 649-673, (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. order of the Tate-Shafarevich group; conductor; discriminant; modular elliptic curves; Birch-Swinnerton-Dyer conjecture Goldfeld, D; Szpiro, L, Bounds for the order of the Tate-Shafarevich group, Compositio Math., 97, 71-87, (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. Selmer groups; quadratic twists of elliptic curves | 0 |
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