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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 genus; formal group laws associated to supersingular elliptic curves; Jacobi quartics; Legendre polynomials; elliptic curves of Weierstrass forms; discriminant Landweber, P.S.: Supersingular Elliptic Curves and Congruences for Legendre Polynomials. In: Landweber, P.S. (ed.) Elliptic Curves and Modular Forms in Topology. Proceedings, Princeton 1986. (Lect. Notes Math., vol. 1326, pp. 69--93) 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. elliptic curves over an imaginary quadratic field; Selmer\(groups\); Weil curve; Heegner points; conjecture of Birch and Swinnerton-Dyer | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. factors of division polynomials; Schoof's algorithm; number of rational points; elliptic curve; prime field; modular curves Morain, J. Théor. Nombres Bordeaux 7 pp 255-- (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. families of elliptic curves; rational point; indivisible points; height functions R. Gupta and K. Ramsay, Indivisible points on families of elliptic curves , J. Num. Theor. 63 (1997), 357-372. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 in elliptic curves; fine moduli space; coarse moduli space; number of cusps; number of elliptic points Cox, David A.; Parry, Walter R., Torsion in elliptic curves over \(k(t)\), Compos. Math., 41, 3, 337-354, (1980) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Weierstraß form; lifted \(p\)-adic homology; zeta endomorphism | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 theory; algebraic fundamental groups; finite simple group; wreath product; Galois group; unramified covering of the affine line; group enlargements; enlargements; tame fundamental groups of curves Abhyankar, S. S.: Group enlargements. CR acad. Sci. Paris 312, 763-768 (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. elliptic fibration; Hirzebruch-Jung strings; birational transformation; Euler characteristic of a three-dimensional elliptic fibration Grassi, A., The singularities of the parameter surface of a minimal elliptic threefold, Internat. J. Math., 4, 203, (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. geometric invariant theory; moduli of curves; curves of genus four; intersection 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. quadratic twists of elliptic curves; modular forms; \(\mathbb{F}_ p\)-rational points; special values of \(L\)-functions; cubic twists Ono, K, Twists of elliptic curves, Compos. Math., 106, 349-360, (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. Galois cohomology; number fields; elliptic curves; abelian varieties; function fields; profinite groups; class field theory; formal groups; Milnor K-groups; Lubi-Tate groups | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. zero cycles; Bloch conjecture; Albanese variety; Chow group; pushout diagram; 1-motive; Chern classes in Deligne cohomology H. Gillet, On the \(K\)-theory of surfaces with multiple curves and a conjecture of Bloch , Duke Math. J. 51 (1984), no. 1, 195-233. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; moduli of curves; double ramification 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. elliptic curves over finite fields; discrete elliptic logarithm function; public key cryptosystems; twisted pair 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. supersymmetric product of supercurve; supercurve; superdivisor; fermions; SUSY-curves Pérez, J. A. Domínguez; Ruipérez, D. Hernández; De Salas, C. Sancho: The variety of positive superdivisors of a supercurve (supervortices). J. geom. Phys. 12, 183-203 (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. function field analogue of the theory of elliptic modular curves; Drinfeld modules; Drinfeld's upper half-plane; expansions at the cusps of certain modular forms; Manin-Drinfeld theorem; algebraic modular forms; jacobian Ernst-Ulrich Gekeler, Drinfel\(^{\prime}\)d modular curves, Lecture Notes in Mathematics, vol. 1231, Springer-Verlag, Berlin, 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. moduli of stable bundles; elliptic fibre bundles; compact Riemann surface; cohomology; graph method; elliptic Hopf surfaces Teleman, A, Moduli spaces of stable bundles on non-Kähler elliptic fibre bundles over curves, Expo. Math., 16, 193-248, (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. Dwork-Siegel conjecture; differential equations for G-functions; Picard- Fuchs equations; Padé approximations; accessory parameters; transcendence; elliptic curves; continued fractions; fast computation of \(\pi \) D.V. Chudnovsky and G.V. Chudnovsky. Computational problems in arithmetic of linear differential equations. Some Diophantine applications. Number theory (New York, 1985/1988), 12--49, Lecture Notes in Math., 1383, Springer, Berlin (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. cuspidal divisor class group; group of modular units; modular; curves; congruence subgroups; Jacobian; cuspidal groups; arithmetic of special values of L-functions; weight two Eisenstein series; congruence formulae Glenn Stevens, The cuspidal group and special values of \(L\)-functions, Trans. Am. Math. Soc.291 (1985), p. 519-550 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. twenty seven lines of cubic surface; real cubics; elliptic and hyperbolic lines; projective space; orientable manifold; relative orientation; enumerative geometry; cohomology classes; vector bundles; sphere bundles; sections; Euler class; degree of map; multiplicity of zero; Welschinger invariant C. Okonek, A. Teleman, Intrinsic signs and lower bounds in real algebraic geometry. J. für die reine angew. Math (Crelles Journal) 2014(688), 219--241 (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 curves; K-theory; zeta functions; higher regulators S. Bloch, \textit{Higher regulators, algebraic K- theory and zeta functions of elliptic curves}, Volume 11 of CRM Monograph Series, AMS, Providence, RI, U.S.A. (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. moduli space of curves; cohomological field theories; quantum integrable systems; double ramification cycle Kim, H.-C., Kim, S.: M5-branes from gauge theories on the 5-sphere. J. High Energy Phys. \textbf{2013}, 144 (2013). 10.1007/JHEP05(2013)144 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 homotopy; Koras-Russell threefolds; equivariant \(K\)-theory; higher Chow groups; motivic 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. Euler-Poincaré formula; rigid analytic curves; adic space; valuation of higher rank; Artin representation; Swan representation; Lefschetz fixed point formula Huber, R.: Swan representations associated with rigid analytic curves. Journal für die Reine und Angewandte Mathematik \textbf{537}, 165-234 (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. exponential height; diophantine equations; Bogomolov-Miyaoka-Yau inequality; arithmetic surface; Arakelov's intersection theory; intersection numbers; Szpiro conjecture; Parshin trick; asymptotic Fermat theorem; boundedness of the torsion of elliptic curves A. N. Parshin, ``The Bogomolov -- Miyaoka -- Yau inequality for the arithmetical surfaces and its applications'', Seḿinaire de theórie des nombres (Paris, 1986 -- 87), Progr. Math., 75, Birkhaüser, Boston, MA, 1988, 299 -- 312 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Weierstraß \(\wp\)-function; Mordell's theorem; Hasse's theorem; \(L\)- function; Birch and Swinnerton-Dyer conjecture; \(j\)-invariant; rational points of elliptic curves; imaginary quadratic fields; Taniyama-Weil conjecture Henri Cohen, Elliptic curves, From number theory to physics (Les Houches, 1989) Springer, Berlin, 1992, pp. 212 -- 237. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. sixth Painlevé transcendent; algebraic solutions; algebraic curves of higher genera; uniformization by theta-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. Atiyah-Segal map; Riemann-Roch transformation; Grothendieck-Riemann-Roch theorem; Deligne-Mumford stack; quotient stack; inertia stack; equivariant $K$-theory; higher Chow groups; coarse moduli space map; Morita isomorphism; Köck's conjecture | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. rational cycle; 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. Calabi-Yau varieties; families of elliptic curves; elliptically (chain) connected 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. twists of elliptic curves; heights Lang, S.: Conjectured diophantine estimates on elliptic curves, arithmetic and geometry, vol. I, Progr. Math., vol. 35, Birkhäuser, Boston, pp. 155-171 (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. nef cone; symmetric product of curves Bastianelli, F., Remarks on the nef cone on symmetric products of curves, Manuscripta Math., 130, 113-120, (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. finite field; elliptic curve; Jacobian of curves Schmoyer, S. L., The triviality and nontriviality of Tate-lichtenbaum self-pairings on Jacobians of curves, (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. algebraic completely integrable systems; Poisson geometry; integrable Hamiltonian systems; symmetric product of curves; Hénon-Heiles hierarchy Vanhaecke, P., Integrable Systems and Symmetric Products of Curves, Math. Z., 1998, vol. 227, no. 1, pp. 93--127. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Deligne-Mumford compactification; divisor | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Abel-Jacobi map; higher Chow group; regulator map; absolute Hodge cohomology Kerr M. and Lewis J.\ D., The Abel-Jacobi map for higher Chow groups, II, Invent. Math. 170 (2007), no. 2, 355-420. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 families of curves; Faltings' theorem; Mordell conjecture; projective variety; Szpiro constants; elliptic curve De Diego, Teresa: Théorème de faltings (conjecture de Mordell) pour LES familles algébriques de courbes, C. R. Acad. sci. Paris sér. I math. 323, No. 2, 175-178 (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. Steenrod algebras; cohomology of groups; characteristic classes; algorithms; computation; Chow rings; cohomology rings; Stiefel-Whitney classes; Steenrod operations | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Brauer group; rational points; torsion of elliptic curves A.N. Skorobogatov, Yu.G. Zarhin, The Brauer group of Kummer surfaces and torsion of elliptic curves, J. Reine Angew. Math. 666, 115-140 (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. generalized Hamming weight; weight distribution; trace codes; fibre product of Artin-Schreier curves; rational points; supersingular curves van der Geer G., van der Vlugt M.: Fibre products of Artin--Schreier curves and generalized Hamming weights of codes. J. Combin. Theory Ser. A 70, 337--348 (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. higher Chow groups; category of mixed motives; exact faithful functor; mixed Hodge structures; Albanese map Asakura, M.: Motives and algebraic de Rham cohomology. The arithmetic and geometry of algebraic cycles, Proceedings of the CRM Summer School. CRM Proc. Lect. Notes \textbf{24}, 133-155 (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. Chow-motif of the Severi-Brauer variety; cohomology groups Karpenko, N.A.: Grothendieck Chow motives of Severi--Brauer varieties (Russian). Algebra Anal. 7(4), 196--213 (1995) (transl. in St. Petersbg. Math. J. 7(4), 649--661 (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. motive; motivic cohomology; Chow groups; numerical equivalence of 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. \(p\)-division representations; elliptic curves; complex multiplication; integers of an imaginary quadratic field; rational primes Boston, N.; Ullom, S. V.: Representations related to CM elliptic curves. Math. proc. Cambridge philos. Soc. 113, 71-85 (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. unramified extensions; division points; class numbers; class field towers of infinite degree; semi-stable 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. rank of elliptic curves; theorem of Lutz-Nagel; \(2\)-descent; families of elliptic curves; arithmetic function; quartic diophantine 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. curves of genus three; real multiplication; abelian variety Hoffman, J. W.; Wang, H.: 7-gons and genus 3 hyperelliptic curves. Rev. R. Acad. cienc. Exactas fís. Nat., ser. A mat. 107, 35-52 (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. Goldwasser-Kilian-Atkin method; primes of over 1000 digits; elliptic curves; primality Morain, F.: Elliptic curves, primality proving and some titanic primes. Astérisque 198--200, 245-251 (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. configuration space; Hodge structure; mixed Hodge module; moduli space of elliptic curves Ayala, D., Francis, J.: Poincaré/Koszul duality (2014). arXiv:1409.2478 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 of motives; Chow group; motivic cohomology; mixed Tate motive; adjoint functor | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Hodge conjecture; Hodge structure of geometric origin; Chow groups; cycle class map; correspondence | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. minimally elliptic surface; fundamental cycle on the minimal resolution; Auslander-Reiten quivers of reflexive modules Kahn C.P., Reflexive modules on minimally elliptic singularities, Math. Ann., 1989, 285(1), 141--160 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 functions; arithmetical exceptionality; exceptionality of permutation groups; elliptic curves; monodromy groups Guralnick, R. M.; Müller, P.; Saxl, J., The rational function analogue of a question of Schur and exceptionality of permutation representations, \textit{Mem. Amer. Math. Soc.}, 162, 773, viii+79, (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. discrete logarithm problem; elliptic curve; abelian group of points; taking logarithms by division by two Bessalov, A.V., A method of solution of the problem of taking the discrete logarithm on an elliptic curve by division of points by two, Cybern. Syst. Anal., 37, 820-823, (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. modular invariance; tensor product; Virasoro modules; central charge; 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. self-intersection of dualizing sheaves; elliptic curves; Arakelov theory; Arakelov-Green function; Frey curves; genus; Néron-Tate height; Jacobian Szpiro, L. 1990.Sur les propriétés numériques du dualisant relatif d'une surface arithmétique, The Grothendieck Festschrift Vol. III, 229--246. Boston: Birkhäuser. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. finite Tate-Shafarevich group; elliptic curves; evidence for the truth of the Birch and Swinnerton-Dyer conjecture; ideal class annihilators Rubin, K.: Tate-Shafarevich groups and
\[
L
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-functions of elliptic curves with complex multiplication. Invent. Math. 89, 527--560 (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. Green's functions; Chow groups; elliptic curves; complex multiplication; Abel-Jacobi maps Mellit, A.: Higher Green's functions for modular forms. Ph. D. thesis, Rheinische Friedrich-Wilhelms-Universität Bonn (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. algebraic curves; Riemann surfaces; moduli spaces; cohomology rings; Chow rings; divisor classes; homology groups; Picard groups; Teichmüller theory; Gysin spectral sequence Arbarello E., Grundlehren der Mathematischen Wissenschaften 268, in: Geometry of Algebraic Curves (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. quadratic forms; representation of integers; generalized Weil hypothesis; elliptic curves with complex multiplication; method of ascent; modular forms; functional equations B. T. Tashpulatov and L. A. Kogan, Representation of Integers by Quadratic Forms [in Russian], Fan, Tashkent (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. elliptic curves cryptography; endomorphism of elliptic curves; Frobenius endomorphism | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Murre's conjecture; motivic decomposition; Chow group; curve; abelian variety; elliptic modular threefold; product varieties Xu, K; Xu, Z, Remarks on murre's conjecture on Chow groups, J. K-Theo., 12, 3-14, (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. moduli space of curves; effective cone; higher codimension cycles; extremal rays | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; algebraic curves over global fields; discriminantal varieties; cohomology rings; Hodge structures Bergstrom, J.; Tommasi, O., The rational cohomology of M\_{}\{4\}, Math. Ann., 338, 207, (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. construction of high-rank elliptic curves; Mordell-Weil group K. Nagao, Construction of high-rank elliptic curves, Kobe J. Math,11 (1994), 211--219. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 field of elliptic curve; Witt ring; elliptic curve; generators; relations; symmetric bilinear spaces; cohomological invariants; Grothendieck ring; étale cohomology groups Arason, J. K.; Elman, R.; Jacob, B.: On the Witt ring of elliptic curves, Proc. symp. Pure math. 58, No. Part II, 1-25 (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. free resolutions over the exterior algebra; cohomology of sheaves; Chow form D. Eisenbud, Computation of cohomology, in: W.V. Vasconcelos et al. (Eds.), Computational Methods in Commutative Algebra and Algebraic Geometry, Springer, New York, 1997, pp. 209--216. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; mapping class group; level structures; Picard group; Torelli group; group cohomology Ivanov, N. V.: Subgroups of Teichmüller modular groups. Translations of Mathematical Monographs \textbf{115}. AMS (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. triangulated category of effective motivic complexes; algebraic cycle cohomology; motivic cohomology theory Voevodsky, V., \textit{triangulated categories of motives over a field}, Cycles, transfers, and motivic homology theories, 188-238, (2000), Princeton University Press, Princeton, NJ | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; elliptic curves; riemann surfaces; orblfods R. Hain, \textit{Lectures on moduli spaces of elliptic curves}, in \textit{Transformation groups and moduli spaces of curves}, L. Ji and S.-T. Yau eds., \textit{Adv. Lect. Math.}\textbf{16}, International Press, U.S.A. (2011), pg. 95 [arXiv:0812.1803]. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; elliptic functions; modular curves; characteristic of a curve; modular equations | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 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. nongap sequence of a Weierstrass point; coverings of elliptic curves E. Ballico, C. Keem, Weierstrass multiple points on algebraic curves and ramified coverings, Israel. J. 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. Complex semisimple group; quantized enveloping algebra at a root of unity; cohomology; tilting module; principal block; support; two-sided cell; affine Weyl group; nilpotent cone; Springer resolution; equivariant coherent sheaf; orbit; equivariant vector bundle Bezrukavnikov, Roman, Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves, Invent. Math., 166, 2, 327-357, (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. torsion Galois modules; mod \(p\) representations; infinite families of modular elliptic curves; complex multiplication Rubin, K. and Silverberg, A., Families of elliptic curves with constant mod~{\(p\)} representations, Elliptic Curves, Modular Forms, \& {F}ermat's Last Theorem ({H}ong {K}ong, 1993), Ser. Number Theory,~I, 148-161, 1363500, (1995), Int. Press, Cambridge, MA | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. survey articles (algebraic geometry); stacks; Artin stacks; moduli of vector bundles; curves over arithmetic ground fields; cohomology of algebraic stacks; Weil conjectures F. Neumann, Algebraic stacks and moduli of vector bundles, Publicações Matemáticas do IMPA , Colóquio Brasileiro de Matemática, 27, 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. cubic residue symbol and cubic roots; hashing to ordinary elliptic curves of \(j\)-invariant 0; indifferentiability from a random oracle; pairing-based cryptography | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. conformal blocks; moduli space of stable pointed rational curves; Chow quotient; GIT quotient; weighted pointed stable curves; Gale duality Giansiracusa, N., Conformal blocks and rational normal curves, J. Algebraic Geom., 22, 4, 773-793, (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. weighted projective lines of genus one; tubular mutations; exceptional indecomposable vector bundles; distinguished triangles; elliptic curves; categories of graded coherent sheaves; derived categories; natural transformations H. Meltzer, Tubular mutations, Colloq. Math., 74 (1997), no. 2, 267--274. Zbl 0886.16013 MR 1477569 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 diagonal; Calabi-Yau complete intersection; decomposable 0-cycle; Chow ring; intersection theory; Hodge structure Fu, L, Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections, Adv. Math., 244, 894-924, (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. tropical geometry; moduli spaces of curves; matroid; Chow ring | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. noncommutative algebraic geometry; elliptic curves; quotients of Stein varieties; category of coherent sheaves; Rieffel's theorem; non-Archimedean quantum tori Yan Soibelman and Vadim Vologodsky, Noncommutative compactifications and elliptic curves, Int. Math. Res. Not. 28 (2003), 1549 -- 1569. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; Tate-Shafarevich groups; Selmer groups; modules of cofinite type; distributions; alternating matrix Bhargava, Manjul; Kane, Daniel M.; Lenstra,, Hendrik W., Jr.; Poonen, Bjorn; Rains, Eric, Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves, Camb. J. Math., 2168-0930, 3, 3, 275\textendash 321 pp., (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. logarithmic de Rham complex; vanishing theorems; Deligne theory of mixed Hodge structures; Moishežon manifold; local free sheaves; cohomology; holomorphic covariant derivations with poles H. Esnault and E. Viehweg, Logarithmic de Rham complexes and vanishing theorems, Invent. Math. 86 (1986), 161-194. | 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. Yang--Baxter equations; vector bundles on genus one curves; elliptic fibrations; derived categories of sheaves; Massey products Burban, I., Kreußler, B., Vector bundles on degenerations of elliptic curves and Yang-Baxter equations. Mem. Amer. Math. Soc. 220, no. 1035 (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. Geometry 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. formal group law; generalized cohomology theory; elliptic curves M. Bakuradze and M. Jibladze, ''Some explicit expressions concerning BP,'' arXiv: 1310.0783v2 [math.AT]. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; excess linear series; secant bundle; secant space to a curve; symmetric product of a curve \textsc{M. Aprodu and E. Sernesi,} Excess dimension for secant loci in symmetric products of curves, E. Collect. Math. (2016). 10.1007/s13348-016-0166-2. | 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. prescribed j-invariants of elliptic curves Comalada, Salvador; Nart, Enric: Modular invariant and good reduction of elliptic curves. Math. ann. 293, No. 2, 331-342 (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. face angles of tetrahedra; division of sphere surfaces; homogen consisted space figures; congruent space divisions; non-euclidean measurement; group theoretical considerations of two-dimensional spaces; group theoretical considerations of three-dimensional hyperbolic 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. subvarieties of moduli spaces of curves; effective cones; higher codimensional 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. depth of tensor product; vanishing of local cohomology; vector bundle; hypersurface domain; \(S_{r+1}\) Huneke C. and Wiegand R. (1997). Tensor products of modules, rigidity and local cohomology. Math. Scan. 81: 161--183 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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-ordinary CM types; motives; period relation; Hodge-Tate decompositions of the cohomology of an abelian variety; with complex multiplications; Hodge conjecture; p-adic periods of the quotients of Fermat curves; Hodge-Tate decompositions of the cohomology of an abelian variety with complex multiplications [39] Ehud de Shalit, &On monomial relations between \(p\)-adic periods&#xJ. Reine Angew. Math.374 (1987), p.~193-MR~8 | &Zbl~0597. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. covering of stable genus three curves; fibre of Prym map; abelian surface; symmetric theta divisor; Satake compactification of the moduli space of principally polarized abelian surfaces Verra, A.: The fiber of the Prym map in genus 3. Math. Ann. 276, 433--448 (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. finite field of small characteristic; algorithm; counting points on elliptic curves; Satoh's algorithm Vercauteren, F., Preneel, B., Vandewalle, J.: A memory efficient version of Satoh's algorithm. In: Advances in cryptology -- EUROCRYPT 2001 (Innsbruck), Lecture Notes in Comput Sci, vol. 2045, pp. 1--13. Berlin Heidelberg New York: Springer 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. Selmer group of twists of elliptic curves; \({\mathbb{Q}}\)-rational torsion; point; p-class 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. elliptic curves; ranks of the Mordell-Weil groups; ranks of the groups of rational points; Shimura-Taniyama-Weil conjecture; Birch-Swinnerton-Dyer conjecture S. Fermigier, Étude expérimentale du rang de familles de courbes elliptiques sur \(\mathbb{Q}\)
\[
\mathbb{Q}
\]
. Exp. Math. 5 (2), 119--130 (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. Jacobian; blow-up formula; Donaldson invariants; diffeomorphism classification; moduli space of stable rank two vector bundles; Jacobian elliptic surface Friedman, R.: Vector bundles and \(SO(3)\) invariants for elliptic surfaces. J. am. Math. soc. 8, 29-139 (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. graph chordality; framework rigidity; Minkowski weights; Chow cohomology; geometry of 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. curve over a global field; \(K_1\); local class field theory of curves; Galois cohomology; surfaces over finite fields Wayne Raskind, On \?\(_{1}\) of curves over global fields, Math. Ann. 288 (1990), no. 2, 179 -- 193. | 0 |
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