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Tate curve
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11	301 Doc. Math. J. DMV Local Heights on Abelian Varieties and Rigid Analytic Uniformization Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2014-07-15 07:20:01 Elliptic curves Niels Henrik Abel Algebraic geometry Abelian varieties Algebraic structures Valuation Abelian group Group scheme Semistable abelian variety Ring Tate curve Field extension
12	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
13	301 Doc. Math. J. DMV Local Heights on Abelian Varieties and Rigid Analytic Uniformization Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2014-07-15 07:20:01 Elliptic curves Niels Henrik Abel Algebraic geometry Abelian varieties Algebraic structures Valuation Abelian group Group scheme Semistable abelian variety Ring Tate curve Field extension
14	Abelian varieties, Theta functions and cryptography MSR presentation Damien Robert1 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2013-11-15 16:58:00 Elliptic curve cryptography Public-key cryptography Pairing-based cryptography Group theory Binary operations Hyperelliptic curve cryptography Tate pairing Elliptic curve Abelian variety Cryptography DiffieHellman key exchange BonehLynnShacham
15	Lecture Notes on: The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki I. General Introduction Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:20 Algebraic number theory Galois theory Algebraic geometry Hodge theory Homological algebra Tate conjecture Galois module tale cohomology P-adic Hodge theory Tate module Abelian variety Algebraic curve
16	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
17	The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki §1. Introduction (A.) The Fuchsian Uniformization A hyperbolic curve is an algebraic curve obtained by removing r points from a smooth, proper Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:25:30 Algebraic geometry Number theory P-adic Teichmller theory P-adic number Riemann surface P-adic Hodge theory Nilcurve Differential geometry of surfaces Tate conjecture Algebraic curve Elliptic curve tale cohomology
18	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:18 Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion Hecke operator TateShafarevich group Modular form
19	K(2)-local power operations in Lubin-Tate cohomology Add to Reading List Source URL: www-brs.ub.ruhr-uni-bochum.de Language: English - Date: 2014-06-11 05:39:32 Homotopy theory Algebraic topology Adams spectral sequence Cohomology Homotopy groups of spheres Complex cobordism Steenrod algebra Spectrum LubinTate formal group law Cobordism Elliptic curve Homotopy group
20	Abelian varieties, theta functions and cryptography Part 2 Damien Robert1 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2013-11-15 16:58:00 Algebraic curves Elliptic curve cryptography Elliptic curves Pairing-based cryptography Group theory Abelian variety Tate pairing Hyperelliptic curve Weil restriction Elliptic curve Hyperelliptic curve cryptography Weil pairing

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