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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. central division algebras over the function field of a curve; Brauer group; elliptic curves V. I. Yanchevskiĭ and G. L. Margolin, Brauer groups of local hyperelliptic curves with good reduction, Algebra i Analiz 7 (1995), no. 6, 227 -- 249 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 7 (1996), no. 6, 1033 -- 1048. V. I. Yanchevskiĭ and G. L. Margolin, Erratum: ''Brauer groups of local hyperelliptic curves with good reduction'', Algebra i Analiz 8 (1996), no. 1, 237 (Russian). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 curves; determinant of cohomology line bundle; section ring; conformal blocks | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; torsion group; modular surface; elliptic | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 solutions of cubic Diophantine equations; complex multiplication; elliptic curves; group of endomorphisms; rational points Wajngurt, C.: Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication. J. number theory 23, 80-85 (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. rank; families of elliptic curves; complex multiplications Mestre J.-F., C. R. Acad. Sci. Paris Sésr. I Math. 327 (8) pp 763-- (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. rationality questions; rational points; Hasse-Weil \(L\)-function of modular elliptic curves; local-global principles; Selmer's curve; smooth projective varieties; Tate-Shafarevich group; Tate-Shafarevich conjecture; Selmer groups of elliptic curves; class field theory; Kolyvagin test classes Mazur B.: On the passage from local to global in number theory. Bull. Amer. Math. Soc. (N.S.) 29(1), 14--50 (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. characteristic 3; group of rational points; elliptic curve; Tate- Shafarevich product; principal homogeneous 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. cohomology of sheaves; Chow groups; morphism of an algebraic surface; Gysin map; adele representation; differentials; tame symbol English transl. in D. V. Osipov 1997 \textit{Sb. Math.}188 5 697--723 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 on 3-folds; Fano variety of index two; twistor curve; minimal twistor spaces; Fano variety; Fano threefolds DOI: 10.1093/qmath/45.3.343 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. real Gromov-Witten invariants recursion; enumeration of real curves; WDVV-type relation; Deligne-Mumford moduli P. Georgieva and A. Zinger, Enumeration of real curves in \begin{document}\(\mathbb{C}\mathbb{P}^{2n-1}\)\end{document} and a WDVV relation for real Gromov-Witten invariants, arXiv: 1309.4079. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 curve cryptosystems; metric; isomorphism classes of elliptic curves Mishra, P. K.; Gupta, K. C., A metric on the set of elliptic curves over \(\mathbb{F}_p\), \textit{Applied Mathematics Letters}, 21, 12, 1330-1332, (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. p-adic analog of the Weierstrass sigma function; complex elliptic curves; formal group; canonical heights; characteristic p; p-adic theta functions Fontaine, J.-M.: Le corps des périodes \(p\)-adiques. With an appendix by Pierre Colmez. Périodes \(p\)-adiques (Bures-sur-Yvette, 1988). Astérisque No. 223, pp. 59-111 (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. foliations; André-Oort conjecture; Pila-Wilkie theorem; Weierstrass polydiscs; simultaneous torsion points on square of elliptic curves; Galois orbit; torsion point on elliptic curves; special points on Shimura varieties | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli of prinipal bundles; binomial ideals; fiber product; weighted graph; Deligne-Mumford stack; Verlinde formula; Gröbner basis; Koszul algebra Manon, C., Coordinate rings for the moduli stack of \(\mathbf{sl}_2(\mathbb{C})\) quasi-parabolic principal bundles on a curve and toric fiber products, J. Algebra, 365, 163-183, (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. faithfulness of the monodromy representation; elliptic curve; Galois representation; algebraic fundamental groups; genus; family of \(n\)-pointed algebraic curves M. Asada, The faithfulness of the monodromy representations associated with certain families of algebraic curves, J. Pure Appl. Algebra 159 (2001), no. 2-3, 123-147. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; twisted elliptic curves; discriminant of a quadratic field | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. commuting pair of linear ordinary differential operators; vector bundle; classifications of the smooth elliptic curves; automorphism group; algebra of differential operators; indecomposable and decomposable bundles E. Previato and G. Wilson, \textit{Differential operators and rank }2 \textit{bundles over elliptic} \textit{curves}. Compositio Math. 81 (1992), no. 1, 107--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. Chow ring; étale cohomology; crystalline cohomology; universal cycle classes; local complete intersections; intersection theory on singular varieties Henri Gillet, Universal cycle classes, Compositio Math. 49 (1983), no. 1, 3 -- 49. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; scalar multiplication; two-dimensional decompositions B. Smith, Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians, in \textit{Algorithmic arithmetic, geometry, and coding theory, contemporary mathematics}, vol. 637 (Amer. Math. Soc., Providence, RI, 2015), pp. 127-141. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cycles of codimension 2; motivic cohomology; finiteness of second Chow group; vanishing of cohomology group Salberger, P.: Torsion cycles of codimension 2 and \ell-adic realizations of motivic cohomology. Séminaire de théorie des nombres 1991--92, 247-277 (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. circular units; Jacobian of Fermat curves; Galois representations; pro-\(\ell\) braid groups; étale covering of projective 1-space; representation in outer automorphism group of profinite fundamental; group; absolute Galois group; completed group algebra; Tate module; Jacobi sums; Galois cohomology Y. Ihara: Profinite braid groups, Galois representations and complex multiplications. Ann. of Math., 123, 43-106 (1986). JSTOR: | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Heegner points; \(L\)-functions; singular moduli of elliptic curves; discriminants 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. regulator; polylogarithm; zeta function; Hopf algebra; rational homotopy theory; cohomology of groups; Deligne cohomology; de Rham cohomology; Lie algebra cohomology Burgos Gil, J.I.: The Regulators of Beilinson and Borel. CRM Monographs, vol.~15. American Math. Soc., Providence (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. automorphism group of curve; product of projective curves; Betti numbers; diagonal quotient surface; desingularizations; Chern numbers; Enriques-Kodaira classification Kani E., Schanz W. (1997). Diagonal quotient surfaces. Manuscripta Math. 93(1):67--108 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; hyper-elliptic curves; Jacobians; arithmetic-geometric mean; theta functions; elliptic integrals; algorithm of Richelot Bost, Jean-Benoît.; Mestre, Jean-François, Moyenne arithmético-géométrique et périodes des courbes de genre \(1\) et \(2\), Gaz. Math., 38, 36-64, (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. modular function \(j(\tau)\); singular moduli; prime factorization of the absolute norm; modular polynomial; arithmetic of maximal orders in quaternion algebras; geometry of supersingular elliptic curves; Fourier coefficients; Eisenstein series; Hilbert modular group; local heights; Heegner points Gross, B. H.; Zagier, D. B., \textit{on singular moduli}, J. Reine Angew. Math., 355, 191-220, (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. weighted projective lines; nilpotent operators; invariant subspace problem; triangle singularities; tilting objects; ADE-chains; Calabi-Yau fractional categories; stable categories of vector bundles; vector bundles on smooth elliptic curves Kussin, D.; Lenzing, H.; Meltzer, H., Nilpotent operators and weighted projective lines, J. Reine Angew. Math., 685, 33-71, (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. analytic description of algebraic endomorphisms; extensions of elliptic curves by tori; transcendence; numbers related to Weierstrass sigma function; complex multiplication; algebraic groups; theta function BERTRAND (D.) et LAURENT (M.) . - Propriétés de transcendance de nombres liés aux fonctions thêta , C. r. Acad. Sci. Paris, Ser. A, t. 292, 1981 , p. 747-749. MR 82k:10037 | Zbl 0472.10033 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. normal surface singularities; rational singularities; elliptic singularities; \( \mathbb{Q} \)-homology spheres; geometric genus; link of singularities; divisorial filtration; Poincaré series; Seiberg-Witten invariants of 3-manifolds; Casson invariant conjecture; Seiberg-Witten invariant conjecture; Heegaard-Floer homology; graded roots; surgery 3-manifolds; unicuspidal rational projective plane 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 plane curve; holomorphic self-maps; obstructions; invariants at singular points; ordinary singularities; backward orbit; invariant critical components; Julia set; invariant smooth cubics; elementary maps; dual of smooth cubic; Fermat cubic; tangent process; symmetries; Weierstrass' \(\sigma\) and \(\zeta\) functions; elliptic quartics with two singular points; Cassini quartic; quartics with a cusp and a node; mixed quartic; invariant cuspidal quartic [BD02]A. Bonifant and M. Dabija, \textit{Self-maps of }P 2\textit{with invariant elliptic curves}, in: Complex Manifolds and Hyperbolic Geometry (Guanajuato, 2001), Contemp. Math. 311, Amer. Math. Soc., Providence, RI, 2002, 1--25. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. moduli space of curves; Chow ring Izadi, E.: The Chow ring of the moduli space of curves of genus 5. In: The Moduli Space of Curves (Texel Island, 1994). Progr. Math., vol. 129, pp. 267--304. Birkhaüser Boston, Boston, MA (1995) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. congruences; algebraic equations; permutations; permutation groups; elliptic curves; higher-order 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. elliptic curves with complex multiplication; elliptic units; cohomology class | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 family of elliptic curves; lifted p-adic homology G. C. Kato, Lifted \( p\)-adic homology with compact supports of Weierstrass family and zeta matrices (in preparation). | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Braid groups; Yang-Baxter groups; dynamical Yang-Baxter relations; classical Yang-Baxter relations; Kohno-Drinfeld algebras; 3-term relations algebras; Gaudin elements; Jucys-Murphy elements; small quantum cohomology; \(K\)-theory of flag varieties; Pieri rules; chromatic number; Tutte and Betti polynomials; reduced polynomials; Chan-Robbins-Yuen polytope; \(k\)-dissections of a convex \((n+k+1)\)-gon; Lagrange inversion formula; Richardson permutations; multiparameter deformations of Fuss-Catalan and Schröder polynomials; poly-Bernoulli numbers; Stirling numbers; Euler numbers; Brauer algebras; VSASM; CSTCPP; Birman-Ko-Lee monoid; Kronecker elliptic sigma functions Kirillov, Anatol N., On some quadratic algebras {I}~{\(\frac{1}{2}\)}: combinatorics of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck, {F}uss--{C}atalan, universal {T}utte and reduced polynomials, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 002, 172~pages, (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. factorization of polynomials; elliptic curves; local-global principle; cubic surfaces | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. codimension \(r\) algebraic cycles; Griffiths group; Chow group; cycle class map; Galois cohomology; null-homologous cycles Schoen, C, On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field, Ann. Sci.éc. Norm. Supér., 28, 1-50, (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. algebraicity of values of the gamma function; de Rham cohomology groups; etale cohomology groups; absolute Hodge cycle; abelian varieties of CM- type Deligne, P., \textit{Hodge cycles on abelian varieties}, Hodge cycles, motives, and Shimura varieties, (1982), Springer, Berlin-New York | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. monster group; modular polynomial; coefficients; \(j\)-invariants of supersingular 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. Krichever map; Weierstrass cycle; moduli space of curves; tautological ring J.-M. Liou and A. Schwarz, \textit{Weierstrass cycles in moduli spaces and the Krichever map}. arXiv:1207.0530v3 [math.AG], 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. Grothendieck ring of varieties; motivic measure; \(\ell\)-adic Galois representations; weight filtration; zeta function; non-isogenous elliptic curves Naumann N.: Algebraic independence in the Grothendieck ring of varieties. Trans. Am. Math. Soc. 359(4), 1653--1683 (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. modular curve; abelian varieties with twist; \(X_ 0\); simple factors of the Jacobian variety; correspondence between cusp forms of weight 2 and elliptic curves; Taniyama-Weil conjecture J.E. Cremona, Abelian varieties with extra twist, cusp forms, and elliptic curves over imaginary quadratic fields, J. London Math. Soc. (2), 45 (1992), 404-416. MR 93h:11056 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. quantum cohomology; Gromov-Witten invariants; symmetric products of algebraic curves; Brill-Noether theory Bertram, A.; Thaddeus, M., On the quantum cohomology of a symmetric product of an algebraic curve, Duke Math. J., 108, 329-362, (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. non smooth generic fiber; Calabi-Yau threefolds; positive characteristics; Hodge spectral sequence; fibrations; product of an elliptic curve and a rational curve; Hodge duality Hirokado M. (2001). Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces. J. Pure Appl. Algebra 162: 251--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. intersection theory; tropical variety; intersection product; Psi-class; moduli of curves Kerber, M; Markwig, H, Intersecting psi-classes on tropical \(M_{0, n}\), Int. Math. Res. Not., 2009, 221-240, (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. algebraic cycle; Chow group; singular scheme; formal scheme; Tate algebra; rigid geometry; motivic cohomology; Milnor \(K\)-theory; algebraic de Rham cohomology; de Rham-Witt form | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 at least two; jacobian; torsion points | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 curves; geometric genus; associated cycle; integral curve A. NOBILE , On Specializations of Curves, II (Arch. Math., Vol. 46, 1986 , p. 279-288); and Correction: Arch. Math., Vol. 48, 1987 , p. 552. MR 87f:14013 | Zbl 0593.14019 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. projective plane over the finite field; at most two points on a line; cubic; elliptic curves Hirschfeld, J.W.P., Voloch, J.F.: The characterization of elliptic curves over finite fields. J. Aust. Math. Soc. Ser. A 45(2), 275--286 (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. number of primitive points; elliptic curves over number fields Voloch, J. F.: Primitive points on constant elliptic curves over function fields. Bol. soc. Bras. mat. 21, No. 1, 91-94 (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. elliptic curves; rational points; sequences of consecutive squares | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Witten theory; quantum cohomology theory; Gromov-Witten invariants; higher-order-contact curves; quintic threefold A Gathmann, Gromov-Witten and degeneration invariants: computation and enumerative significance, PhD thesis, University of Hannover (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. moduli of complex elliptic curves; decorations Gergondey, R.: Decorated elleptic curves: modular aspects. In: Waldschmidt, M., et al. (eds.) From Number Theory to Physics, 2nd edn., pp. 292--312. Springer, Berlin (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. computational complexity; algebraic geometry; irreducible polynomials; primitive polynomials; finite fields; polynomial factorization; distribution of primitive polynomials; construction of bases; algebraic number theory; computer science; coding theory; cryptography; factorization of bivariate polynomials; fast algorithms; discrete logarithm problem; fast exponentiation; polynomial multiplication; algebraic curves over finite fields; strengthening of the Weil-Serre bound; rational points; elliptic curves; distribution of primitive points; linear recurring sequences; automata; integer factorization; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients 20.I. E. Shparlinski, \(Computational and algorithmic problems in finite fields\), Kluwer, Dordtrecht-Boston-London, 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. number of elliptic curves; \(j\)-invariant Ionel, E, Genus-one enumerative invariants in \(\mathbb{P}^n\) with fixed j-invariant, Duke Math. J., 94, 279-324, (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. cohomological field theory; Gromov-Witten invariants; tautological cohomology classes; moduli spaces of stable curves; large phase space | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 group; action of an automorphism of order p; connected complete non-singular curves; tamely ramified Galois coverings; Witt vector ring Shōichi Nakajima, Action of an automorphism of order \? on cohomology groups of an algebraic curve, J. Pure Appl. Algebra 42 (1986), no. 1, 85 -- 94. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; group of 0-cycles; Flach's finiteness theorem; Selmer group; complex multiplication; higher \(p\)-adic Abel-Jacobi map A. Langer and W. Raskind, 0-cycles on the selfproduct of a CM-elliptic curve over \(\Q\), J. Reine Angew. Math. 516 (1999), 1--26. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Quantum cohomology; quantum homology; enumerative geometry; theoretical physics; moduli space of stable maps; Gromov-Witten invariants; Chow ring P. Aluffi ed., \textit{Quantum cohomology at the Mittag-Leffler institute}, Edizioni della Normale, Italy, (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. number of distinct elliptic curves; finite field; Edwards curves Rezaeian Farashahi R, Shparlinski I E. On the number of distinct elliptic curves in some families. Designs, Codes and Cryptography, 2010, 1: 83--99 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; higher regulators; variation of Hodge structures; \(K3\) surfaces | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. quadratic forms; function field of a quadric; Pfister forms; Pfister neighbor; Galois cohomology; unramified cohomology; Voevodsky's motivic cohomology; Chow group B. KAHN - R. SUJATHA, Motivic cohomology and unramified cohomology of quadrics. J. Eur. Math. Soc. (JEMS), 2 no. 2 (2000), pp. 145-177. Zbl1066.11015 MR1763303 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. toric Deligne-Mumford stack; integral Chow ring; Stanley-Reiser ring of stacky fan Jiang, Y.; Tseng, H. -H.: The integral (orbifold) Chow ring of toric Deligne-Mumford stacks. Math. Z. 264, 225-248 (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. cycle index; cohomology; moduli space; real genus \(0\) curves Rains, Eric M., The action of \(S_n\) on the cohomology of \(\overline M_{0,n}(\mathbb{R})\), Selecta Math. (N.S.), 15, 1, 171-188, (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. curves of genus two; Jacobians; canonical height; infinite descent; Mordell-Weil group; algorithm E.V. Flynn and N.P. Smart, Canonical heights on the Jacobians of curves of genus 2 and the infinite descent, Acta Arith., 79 (1997), 333-352. MR 98f:11066 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 of the mapping class group; orientable surfaces; characteristic classes; Mumford-Morita-Miller classes Kawazumi, N., Morita, S.: The primary approximation to the cohomology of the moduli space of curves and cocycles for the Mumford-Morita-Miller classes. http://kyokan.ms.u-tokyo.ac.jp/users/preprint/pdf/2001-13.pdf (\textbf{Preprint}) | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. elliptic curves; Tate-Shafarevich group; homotopy limit problem; motivic cohomology; etale 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. construction of Galois extensions; Galois group; rational curves; division points; elliptic curves; Chebotarev density theorem Asada, M.: Construction of certain non-solvable unramified Galois extensions over the total cyclotomic field. J. fac. Sci. univ. Tokyo sect. IA math. 32, 397-415 (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. non-vanishing of \(L\)-functions; twisted \(L\)-functions of elliptic curves; function fields; elliptic curve rank in extensions | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 theory; slice filtration; motivic cohomology; algebraic \(K\)-theory; Hermitian \(K\)-theory; higher Witt-theory; quadratic forms over rings of integers; special values of Dedekind \(\zeta \)-functions of number fields | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. curve; finite field; modular form; moduli of curves; cohomology Geer, G., Counting curves over finite fields, Finite Fields and Appl., 32, 207, (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. moduli of curves; tautological ring; intersection theory; 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. holomorphic mapping of compact Kähler manifold; local Torelli theorem; bundle 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. character variety; Hodge-Deligne polynomial; E-polynomial; parabolic Higgs bundles; doubly periodic instantons; representations of fundamental group; punctured 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; function field; multiplicative order | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. conductor 11; parametrization of elliptic curves by modular functions; isogeny class; diophantine equation; Taniyama-Weil conjecture Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J., Elliptic curves of conductor \(11\), Math. Comp., 35, 151, 991-1002, (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. Bogomolov conjecture; curves of higher genus; function fields; metric graphs Faber, X. W. C., The geometric Bogomolov conjecture for curves of small genus, Experiment. Math., 1058-6458, 18, 3, 347\textendash 367 pp., (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. isogeny class of Abelian varieties; product of simple Abelian varieties; self-product of an elliptic curve Schoen, C., \textit{produkte abelscher varietäten und moduln über ordnungen}, J. Reine Angew. Math., 429, 115-123, (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. toric varieties; cone structure; resolution of singularities; fundamental groups; Euler characteristics; cohomology of line bundles; tangent bundle; Serre duality; Betti numbers; Chow groups; cohomology groups W. Fulton, \textit{Introduction to toric varieties}, Annals of Mathematics Studies, Princeton University Press, Princeton U.S.A. (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. moduli of curves; tautological ring; 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. generalized Cartan matrix; Kac-Moody Lie algebras; Kac-Moody groups; projective normality of Schubert varieties; tensor product of two G- modules O. Mathieu : Construction du groupe associé aux algèbres de Kac-Moody . Comptes Rendus 306 série I (1988) 227-230. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. stacks; moduli of curves; equivariant cohomology Edidin, D., Equivariant geometry and the cohomology of the moduli space of curves, (Handbook of Moduli. Vol. I, Adv. Lect. Math. (ALM), vol. 24, (2013), Int. Press Somerville, MA), 259-292 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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; rationality questions; special divisors; Brill-Noether theory; unirational varieties; varieties of general type; Koszul cohomology; \(K3\) surfaces \textsc{G. Farkas}, Birational aspects of the geometry of \(M_{g}\), In: Surveys in Differential Geometry. Vol. XIV. Geometry of Riemann Surfaces and Their Moduli Spaces, 57--110 Surv. Differ. Geom., vol. 14, Int. Press, Somerville, MA, 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. Galois cohomology; \(K\)-cohomology; motivic complex; Galois covering; action of Galois group; equivariant Chow group; totally \(k\)-negligible classes Peyre, E.: Application of motivic complexes to negligible classes. In: Algebraic K-theory, Raskind, W., Weibel, C., eds., (Seattle, 1997) Proc. Symp. Pure Math., vol. 67, pp. 181--211. AMS, Providence (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. constructions and bounds for codes; three-way channel; random-coding techniques; two-way channel; binary adder two-access channel; concatenation techniques; Manhattan-distance; codes from Hermitian 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. specializations of elliptic quartic curves; Grassmannian of pencils of quadrics Israel Vainsencher and Dan Avritzer, Compactifying the space of elliptic quartic curves, Complex projective geometry (Trieste, 1989/Bergen, 1989) London Math. Soc. Lecture Note Ser., vol. 179, Cambridge Univ. Press, Cambridge, 1992, pp. 47 -- 58. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. cusp forms; periods of a newform; algorithms; modular elliptic curves; computations Cremona J., Experiment. Math. pp 97-- (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. \(l\)-adic Abel-Jacobi map; group of codimension-\(n\) cycles modulo rational equivalence; filtration; \(l\)-adic étale cohomology; cycle map; function field in one variable W. Raskind, ''Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups,'' Duke Math. J., vol. 78, iss. 1, pp. 33-57, 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. non-Archimedean Riemann-Roch theorem; non-Archimedean analogue of Arakelov theory; operational Chow-cohomology S. Bloch, H. Gillet, and C. Soulé, Non-Archimedean Arakelov theory, J. Algebraic Geom. 4 (1995), no. 3, 427 -- 485. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. Bibliography; L-functions; regulators; algebraic cycles; Deligne-Beilinson cohomology; Yoneda extensions; mixed motives; Pell's equation; Dedekind's class number; Taylor series; Hodge conjecture; Tate's conjecture; polylogarithms; variations of mixed Hodge structures; generalized Hodge group; Birch and Swinnerton-Dyer conjectures; arithmetic varieties D. Ramakrishnan, Regulators, algebraic cycles, and values of \(L\)-functions , Algebraic \(K\)-theory and algebraic number theory (Honolulu, HI, 1987), Contemp. Math., vol. 83, Amer. Math. Soc., Providence, RI, 1989, pp. 183-310. | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. modular elliptic curve; cohomology classes; invariants of Selmer groups Kolyvagin, V.A.: On the structure of Selmer groups. Math. Ann. 291(2) (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. threefolds; pencil of del Pezzo surfaces; exceptional curves; Prym-Tyurin variety; intermediate Jacobian; Chow group Kanev V., Intermediate Jacobians and Chow groups of threefolds with a pencil of del Pezzo surfaces, Ann. Mat. Pura Appl., 1989, 154, 13--48 | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. representation theory; reductive algebraic groups; simple G-modules; highest weights; character formula; Weyl's formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology ring; ring of regular functions; Schubert schemes; line bundles [6] Jantzen J.\ C., Representations of Algebraic Groups, Academic Press, Orlando, 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. chiral homology of elliptic curves; quasiconformal vertex algebra; Hochschild homology of Zhu algebra | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; 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 integer; radix expression; window nonadjacent expansion; algorithm; point multiplication of elliptic curves; cryptography Blake, Ian F.; Murty, V. Kumar; Xu, Guangwu, Nonadjacent radix-\textit{ {\(\tau\)}} expansions of integers in Euclidean imaginary quadratic number fields, Canad. J. Math., 60, 6, 1267-1282, (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. elliptic curve; rank of the Mordell-Weil group; twists; Galois 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. cup product; de Rham cohomology; Mumford curves; Stokes 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. intersection of two 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. public-key cryptography; elliptic curves; co-\(Z\) coordinates; out-of-place formulæ; Montgomery ladder; embedded systems | 0 |
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. arithmetic geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes | 0 |
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