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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. elliptic curves with complex multiplication; elliptic curves over an imaginary quadratic field; Iwasawa theory; supersingular primes; Schneider-Greenberg conjecture; \(p^ m\)-torsion subgroups; \(\mathbb{Z}_ p\)-cyclotomic extensions; maximal proextensions; special values of modular \(L\)-functions; elliptic units Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (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. indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 two stable reflexive sheaf; bound for the third Chern class; bound on genus of curves in projective 3-space Hartshorne, R, Stable reflexive sheaves III, Math. Ann., 279, 517-534, (1988) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. fundamental group of irreducible curve; representation for curves of higher genus; Galois action; monodromy action | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 \(p\); Galois group of number fields of curves; elliptic curve; potentially good reduction Kraus, A., Sur le défaut de semi-stabilité des courbes elliptiques à réduction additive, Manuscripta Math., 69, 1, 353-385, (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. mixed motives; \(K\)-groups; elliptic curves; Deligne period; entropy C. Deninger, On extensions of mixed motives. Preprint 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. moduli space of marked Riemann surfaces; singular Riemann surfaces; Lie algebras of meromorphic vector fields; elliptic curves; complex tori; algebraic geometric degeneration; Riemann sphere M. Schlichenmaier, ''Degenerations of Generalized Krichever-Novikov Algebras on Tori,'' J. Math. Phys. 34, 3809--3824 (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. generalized Riemann hypothesis; family of elliptic curves; even analytic rank; odd analytic rank | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Lubin-Tate Curves; Deligne-Lusztig varieties; local Langlands; etale cohomology; unramified representations | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; elliptic variety; standard conjecture of Lefschetz type; \(K3\) surface; abelian scheme Tankeev, S G, On the standard conjecture for complex 4-dimensional elliptic varieties and compactifications of Néron minimal models, Izv. Ross. Akad. Nauk Ser. Mat., 78, 181-214, (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. moduli space of curves; cohomology ring; partial differential equation | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 genera; elliptic cohomology theory; coefficients; rings of modular forms; complex bordism; formal groups; addition formula for elliptic integrals of the first kind; integrality; divisibility; universal elliptic genus Landweber, P.S.: Elliptic Cohomology and Modular Forms. In: Landweber, P.S. (ed.) Elliptic Curves and Modular Forms in Topology. Proceedings. Princeton 1986. (Lect. Notes Math., vol. 1326, pp. 55--68), Berlin Heidelberg New York: Springer 1988 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 filtration; pure motives; Hodge conjecture; category of mixed motives; category of geometric mixed Hodge structures; category of mixed Hodge structure of geometric origin; absolute Hodge cohomology; Deligne cohomology; mixed Hodge modules of geometric origin Saito, M., \textit{Hodge conjecture and mixed motives. I}, Complex geometry and Lie theory (Sundance, UT, 1989), 283-303, (1991), American Mathematics Society, Providence, RI | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Hilbert theorem 90 for K2; norm residue homomorphism; roots of unity; K- cohomology groups of Severi-Brauer varieties; \(K_ 2\) of division algebras; second Chow group; cohomology classes with zero restriction A. S. Merkur'ev and A. A. Suslin, ''The norm residue homomorphism,'' Preprint LOMI, P-6-82, Leningrad (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. moduli spaces of curves; tautological ring; double ramification cycle Janda, F.; Pandharipande, R.; Pixton, A.; Zvonkine, D., Double ramification cycles on the moduli spaces of curves, Publ. Math. Inst. Hautes Études Sci., 125, 221-266, (2017) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Krichever-Novikov algebras; universal central extension; untwisted affine Kac-Moody algebra; Kassel's theorem; Kähler differentials; hyperelliptic curves; elliptic curve with punctures at two points; cocycles; Pollaczek polynomials M. R. Bremner, ''Universal central extensions of elliptic affine Lie algebras'',J. Math. Phys. 35, 6685--6692 (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. filtration of a module; finitely generated module; cycle class; Chow group; Grothendieck group; Riemann-Roch map Chan, C.-Y.: Filtrations of modules, the Chow group, and the Grothendieck group. J. Algebra \textbf{219}(1), 330-344 (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. elliptic curve; obstruction group for realizing characters; Brauer group; Galois cohomology; unramified Brauer group; reciprocity law; 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. one-parameter families of elliptic K3 surfaces; parabolic cohomology; Hodge structure; Torelli mapping | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. injective homomorphism of product of local rings; length formulas for the local cohomology; module of differential forms on a complete intersection with isolated singularity Bruns, W. andVetter, U., Length formulas for the local cohomology of exterior powers,Math. Z. 191, (1986), 145--158. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Diophantine tuples; elliptic curves; elliptic surfaces; \(K3\) surfaces; higher moments; bias 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. relative cohomology; Deligne cohomology; sheaves of differentials; Weil algebra; gerbes; characteristic classes Bloch, S. and Esnault, H., Relative algebraic differential characters, (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. elliptic curves over finite fields; rational points on elliptic curves; rank of elliptic curves Thus the optimum is attained for P = Y X(X>X)-1 and V = (X>X)-1 X>Y X(X>X)-1. 33 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 Severi-Brauer varieties; Gersten spectral sequence; Riemann-Roch formula for higher \(K\)-groups; \(K_2\); Milnor functor; norm residue homomorphism; Brauer group; Hilbert theorem 90 for \(K_2\) A. S. Merkurcprimeev and A. A. Suslin, ''\(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism,'' Izv. Akad. Nauk SSSR Ser. Mat., vol. 46, iss. 5, pp. 1011-1046, 1135, 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. high rank curves; infinite family of elliptic curves with rank 11 Tetsuji Shioda, An infinite family of elliptic curves over \? with large rank via Néron's method, Invent. Math. 106 (1991), no. 1, 109 -- 119. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; mapping class groups; elliptic curves Benjamin Collas, ''Action of a Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups of genus one'', Int. J. Number Theory 8 (2012) no. 3, p. 763-787 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; higher Chow groups; mixed Tate motives; admissible cycle; polylogarithms; minimal models Bloch, S.: Algebraic cycles and the Lie algebra of mixed Tate motives,J. Amer. Math. Soc. 4 (1991), 771--791. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Bertini theorem; curves of arithmetic genus 2; cuspidal elliptic curve; cuspidal rational 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. Birch-Swinnerton-Dyer conjecture; Mordell-Weil rank of elliptic curves Brumer, Armand; McGuinness, Oisín., The behavior of the Mordell-Weil group of elliptic curves, Bull. Amer. Math. Soc. (N.S.), 23, 2, 375-382, (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. Birch--Swinnerton-Dyer conjecture; rank; group of rational points; elliptic curves; class number; 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. tautological ring; Faber conjectures; moduli of curves; Gromov-Witten theory; cohomology of moduli spaces Petersen, D., Tautological rings of spaces of pointed genus two curves of compact type, Compos. math., 152, 1398-1420, (2016) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cuspidal plane curves; higher homology groups; number of singularities Zaĭdenberg, M. G.; Orevkov, S. Yu.: On rigid rational cuspidal plane curves, Uspekhi mat. Nauk 51, No. 1(307), 149-150 (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. rings of differential operators and their modules; local cohomology; characteristic variety; characteristic cycle; critical cone | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 stack of elliptic curves; vector bundles 10.1016/j.jalgebra.2015.01.007 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; \(p\)-torsion points; field of definition Lozano-Robledo, Á., On the field of definition of p-torsion points on elliptic curves over the rationals, Math. Ann., 357, 279-305, (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. Hecke quantum unique ergodicity rate conjecture; Hannay-Berry model of quantum mechanics on the two-dimensional torus; arithmetic quantum chaos; canonical model; Deligne's letter; geometric Weil representation; Weil 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. Models of curves; tame cyclic quotient singularities,; group actions on cohomology; Néron models Halle, L. H.: Galois actions on Néron models of Jacobians, Ann. inst. Fourier 60, No. 3, 853-903 (2010) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Iwasawa theory; \(p\)-adic heights; \(p\)-adic \(L\)-function; height pairing of abelian varieties; Iwasawa function; rational point of infinite order; Tate duality Karl Rubin, Abelian varieties, \?-adic heights and derivatives, Algebra and number theory (Essen, 1992) de Gruyter, Berlin, 1994, pp. 247 -- 266. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. neural network of final ring; secret sharing schemes; system of residual classes; 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. algorithm for subsystems of a root system; simple elliptic singularities; singular del Pezzo surfaces; Coxeter diagram; intersections of two quadrics; deformations of singularities C.\ T.\ C. Wall, Root systems, subsystems and singularities, J. Alg. Geom. 1 (1992), 597-638. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. non-abelian cohomology; moduli space of curves Hain, Rational points of universal curves, J. Amer. Math. Soc. 24 pp 709-- (2011) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Lang-Trotter conjecture; Sato-Tate conjecture; parametric families of elliptic curves Sha, M.; Shparlinski, IE, Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves, Acta Arith., 170, 299-325, (2015) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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-Beilinson cohomology; mixed elliptic motives Hain, R.: Deligne-Beilinson cohomology of affine groups. [arXiv:1507.03144] [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. moduli space of pointed curves of genus 0; Weil-Petersson volumes; Künneth formula for quantum cohomology; Calabi-Yau 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. \(K3\) surfaces; Chow ring; Beauville-Voisin's zero-cycle; deformation of morphisms; singularities. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. genus three curves; Jacobian; twist; Klein quartic; Dyck-Fermat quartic; non-abelian Galois cohomology Stephen Meagher & Jaap Top, Twists of genus three curves over finite fields, Finite Fields Appl.16 (2010), p. 347-368 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 cohomology groups of moduli space of stable \(n\)-pointed genus \(g\) curves Arbarello, E.; Cornalba, M., Calculating cohomology groups of moduli spaces of curves via algebraic geometry, Publ. Math. Inst. Hautes Études Sci., 88, 97-127, (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. torsion points of elliptic curves; diagonalizable group scheme M. Yasuda, M. Torsion points of elliptic curves with good reduction, Kodai Math. J. 31 (2008), no. 3, 385--403. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 Steenrod algebra; cohomology of motivic Steenrod algebra; Massey product; periodicity | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. construction of elliptic curves from automorphic Hecke newforms; Drinfeld modular curves; Shimura-Taniyama-Weil conjecture; Jacobian; strong Weil curve; strong Weil uniformization Gekeler, E-U; Reversat, M, Jacobians of Drinfeld modular curves, J. für die reine und angewandte Mathematik, 476, 27-93, (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. elliptic curves; generators; group of rational points; Mordell-Weil lattice invariant H. E. Rose, On a class of elliptic curves with rank at most two, Math. Comp. 64 (1995), no. 211, 1251 -- 1265, S27 -- S34. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 ring; graded Frobenius algebras; cup product; cohomology of Hilbert scheme Lehn, M; Sorger, C, The cup product of Hilbert schemes for \(K3\) surfaces, Invent. Math., 152, 305-329, (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. coverings of elliptic curves with complex multiplication; hyperelliptic curves; character sums; normalizing conditions Leprévost, F.; Morain, F., Revêtements de courbes elliptiques à multiplication complexe par des courbes hyperelliptiques et sommes de caractères, J. Number Theory, 64, 165-182, (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. torsion 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. cyclotomic unit; arithmetic of an elliptic curve; Mordell-Weil group; Tate-Shafarevich group; Birch and Swinnerton-Dyer conjecture; Weil curves; Selmer group; family of Heegner points; elliptic units V. A. KOLYVAGIN, The Mordell-Weil and Shafarevich-Tate groups for Weil elliptic curves. (Russian) Izv. Akad. Nauk SSSR Ser. Mat., 52, no. 6 (1988), pp. 1154-1180, 1327; translation in Math. USSR-Izv., 33, no. 3 (1989), pp. 473-499. Zbl0681.14016 MR984214 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. function fields; algebraic varieties; divisors; line bundles; vector bundles; sheaves; cohomology; elliptic curves; curves over arithmetic fields; Belyi's theorem; algebraic curves; one-dimensional varieties; coherent sheaves on curves; Riemann-Roch theorem; hyperelliptic curves; Serre duality | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cubic surface; moduli space; curves of genus three; odd theta- characteristic | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; algebraic cycle; Chow group Polishchuk, Selecta Math. 13 pp 531-- (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. De Rham cohomology; crystalline action of Weil group; Morita's \(p\)-adic gamma function; absolute Hodge cycles; Frobenius matrix of Fermat curves Ogus, A, A \(p\)-adic analogue of the chowla-Selberg formula, \(p\)-adic analysis (Trento, 1989), Lect. Notes Math., 1454, 319-341, (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. Fundamental group; varieties isogenous to a product of curves; quotient varieties; quotient group. Dedieu, T.; Perroni, F.: The fundamental group of a quotient of a product of curves. J. group theory 15, No. 3, 439-453 (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. elliptic curve over a global function field; Mordell-Weil lattices; determinants; cycle-class map; crystalline cohomology; height pairing [3] N. Dummigan, `` The determinants of certain Mordell-Weil lattices {'', \(Amer. J. Math.\)117 (1995), no. 6, p. 1409-1429. &MR 13 | &Zbl 0914.} | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; twists of elliptic curves; Selmer groups; graph; Neumann-Setzer type 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. Cremona transformations; birational transformation of three-dimensional projective space; Chow ring; blowing up | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. filtration on the Chow group; Abel-Jacobi map; regulator; Deligne cohomology; Hodge structure; Jannsen conjecture; Bloch-Beilinson conjecture Lewis, J.: A filtration on the Chow groups of a complex projective variety. Compos. Math. 128(3), 299--322 (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. torsion subgroup of Galois group; Iwasawa theory; elliptic curves; imaginary quadratic field; \({bbfZ}_{\ell }\)-extension; abelian extension; maximal abelian p-extension | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. generation of elliptic curves; complex multiplication; class polynomials | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 curves; graph complexes; 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. elliptic analog of the Bloch-Suslin complex; modular elliptic curves A. B. Goncharov and A. M. Levin, Zagier's conjecture on \(L(E,2)\), Invent. Math. 132 (1998), 393--432. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. exterior Galois representations; fundamental groups of punctured elliptic curves; Grothendieck's anabelian conjecture Cadoret, A., Tamagawa, A.: On subgroups of \({GL}_r(\mathbb{F}_l)\) and representations of étale fundamental groups. Preprint. http://www.math.polytechnique.fr/~cadoret/Travaux.html | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. intersections of three quadrics; varieties of planes; 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. Hilbert scheme; almost complex structure; pseudoholomorphic curves; desingularization; symmetric product; Hilbert-Chow morphism Voisin C.: On the Hilbert scheme of points of an almost complex fourfold. Ann. Inst. Fourier (Grenoble) 50(2), 689--722 (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. computational aspects of elliptic curves; modular parametrization; strong Weil curve Cremona, [Cremona 97] J. E., \textit{Algorithms for Modular Elliptic Curves}, (1997), Cambridge University Press, Cambridge | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; positive Mordell-Weil rank Ono, T.: Triangles and elliptic curves. I -- VI. Proc. Japan Acad., 70A, 106-108(1994): 70A, 223-225 (1994) ; 70A, 311-314 (1994); 71A, 104-106 (1995); 71A, 137-139 (1995); 71A, 184-186. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 Riemann surfaces; Deligne-Mumford compactification; spectral sequence; mixed Hodge structure; stable cohomology; tautological class; \( \operatorname{BV} \)-algebra; Maurer-Cartan equation; quantum master equation | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 algebraic curves; Teichmüller theory; elliptic curves; modular forms; Picard groups; hyperbolic geometry; classification of compact Riemann surfaces; moduli theory of compact Riemann surfaces Richard Hain, Moduli of Riemann surfaces, transcendental aspects, School on Algebraic Geometry (Trieste, 1999) ICTP Lect. Notes, vol. 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000, pp. 293 -- 353. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; computation of modular elliptic curves; modular symbols; non-torsion points; heights; isogenies; periods; rank J. Cremona, Algorithms for modular elliptic curves. Cambridge: Cambridge University Press, 1992. Zbl0758.14042 MR1201151 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 5; semistable vector bundle; Clifford index; Brill-Noether theory; higher rank Brill-Noether theory Lange, H.; Newstead, P. E., Higher rank BN-theory for curves of genus \(5\), Rev. Mat. Complut., 29, 691-717, (2016) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 function; Shimura variety; product of L-functions; cohomology of arithmetic groups C. Soule : Cohomologie des groupes discrets et formes automorphes , in Variétés de Shimura et Fonctions L, par L. Breen, J-P. Labesse , Publ. Math. de l'Univ. Paris VII, Paris (1979) p. 131-143. | 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. fields of large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (1983) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Chow ring; motives; Bloch-Beilinson filtration; hyperkähler variety; Lagrangian subvariety; constant cycle subvariety; (Hilbert scheme of) \(K3\) surface; Beauville's splitting property; multiplicative Chow-Künneth decomposition; spread of algebraic cycles | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Chow group; codimension-two cycles of the moduli space C. F. Faber, Some results on the codimension-two Chow group of the moduli space of stable curves , Algebraic curves and projective geometry (Trento, 1988), Lecture Notes in Math., vol. 1389, Springer, Berlin, 1989, pp. 66-75. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. class field theory for curves over local fields; abelian fundamental group; class field theory of two-dimensional local fields; reciprocity law Saito S.: Class field theory for curves over local fields. J. Number Theory 21(1), 44--80 (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. Getzler's cohomological relation; moduli space of 4 pointed elliptic curves; elliptic Gromov-Witten invariants; Virasoro conjecture Pandharipande, R., A geometric construction of Getzler's elliptic relation. Math. Ann., 313 (1999), 715--729. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. \(n\)-contact curve; elliptic curves; representation of divisors; Zariski tuple | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Massey products; Deligne cohomology; Čech resolutions; differential forms; elliptic curve; Beilinson conjectures C. Deninger, ''Higher order operations in Deligne cohomology,''Invent. Math.,122, No. 1, 289--316 (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. two-dimensional topological quantum field theory; quantum cohomology; symplectic manifolds; algebraic curves; moduli spaces Y. Ruan and G. Tian, ''A mathematical theory of quantum cohomology,'' Math. Res. Lett., vol. 1, iss. 2, pp. 269-278, 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. moduli space of curves; tautological ring; cohomology ring Petersen, D, The structure of the tautological ring in genus one, Duke Math J, 163, 777-793, (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. intersection number of two divisors; normal surface; bivariant intersection theory; Chow group; rational equivalence; algebraic equivalence S. Kimura, Fractional intersection and bivariant theory, Comm. Algebra 20 (1992), no. 1, 285-302. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 finite fields; distribution of group orders | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. curve with seminatural cohomology; smoothable curves; problem of maximal genus; Horace's method; Hilbert scheme of space curves | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. torsion-points 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. Deligne periods; Beilinson periods; Tate twist of cohomology of smooth projective variety; cohomological realisations; L-function | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. decomposition of uniform fiber bundles over Grassmannian; cohomology ring of flag variety; Chow ring Guyot, M, Caractérisation par l'uniformité des fibrés universels sur la grassmanni-enne, Math. Ann., 270, 47-62, (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. Quillen K-groups; Chow groups; zeta function of varieties over finite field; étale cohomology groups; crystalline cohomology groups; Tate's conjecture James Stuart Milne, ``Values of zeta functions of varieties over finite fields'', Am. J. Math.108 (1986) no. 2, p. 297-360 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. derivatives of relative Wronskians; families of Weierstrass points; coarse moduli spaces of curves; Chow classes Gatto L., Trans. Amer. Math. Soc. 351 pp 2233-- (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. generalization of class field theory; local fields; global fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor Kato, K. : A generalization of class field theory (Japanese) . Sûgaku 40 (1988) 289-311. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; limit mixed Hodge structures; cycle class; algebraic Hodge polynomial; nodal curves; moduli space of semi-stable sheaves | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 algebraic cycles; Chow group; cycle map; rational classes of codimension 2 Saito, S.: On the cycle map for torsion algebraic cycles of codimension two. Invent. Math. 106(3), 443--460 (1991) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 on elliptic curves; finite fields | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. modular elliptic curves; order of vanishing; Artin \(L\)-functions; Dirichlet \(L\)-functions V. KUMAR MURTY , Non-Vanishing of L-Functions and their Derivatives , in Automorphic Forms and Analytic Number Theory, R. MURTY Ed., pp. 89-113, Centre de Recherches Mathématiques, 1990 . Zbl 0745.11033 | 0 |
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