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Elliptic curves
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#	Item
131	301 Documenta Math. Λ-Adic Euler Characteristics of Elliptic Curves To John Coates on the occasion of his sixtieth birthday Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-21 15:14:22 Field theory Group theory Algebraic geometry Number theory Analytic number theory Elliptic curve Valuation Algebraic number field Iwasawa algebra Complex multiplication Weight
132	Indifferentiable Deterministic Hashing to Elliptic and Hyperelliptic Curves Reza R. Farashahi1 , Pierre-Alain Fouque2 , Igor E. Shparlinski1 , Mehdi Tibouchi2 , and J. Felipe Voloch3 1 Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2010-07-19 10:41:17 Finite fields Number theory Elliptic curve cryptography Group theory Elliptic curves Artin conductor Symbol Elliptic curve Supersingular elliptic curve Conductor
133	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
134	ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION Shinichi Mochizuki February 2009 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-02 13:48:32 Algebraic geometry Algebraic varieties Group theory Divisor Projective variety Elliptic curve Blowing up Ring Prime number theorem Ample line bundle
135	UNBOUNDEDNESS OF THE NUMBER OF RATIONAL POINTS ON CURVES OVER FUNCTION FIELDS ˜ ´ FELIPE VOLOCH RICARDO CONCEIC ¸ AO, Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2012-04-09 21:07:26 Algebraic curves Analytic number theory Elliptic curve Group theory Curve Rational point ArtinSchreier curve
136	HODGE–ARAKELOV THEORY OF ELLIPTIC CURVES (NOTES ON WORKS OF SHINICHI MOCHIZUKI) ROBERT A. KUCHARCZYK Hodge–Arakelov theory is developed in a series of articles by Shinichi Mochizuki from around the year 2000, includi Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2015-12-07 11:55:24 Algebraic geometry Homological algebra Hodge theory HodgeArakelov theory Number theory Elliptic curves Period mapping Arakelov theory Analytic torsion Group scheme Torsion Sheaf
137	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
138	Software implementation of binary elliptic curves: impact of the carry-less multiplier on scalar multiplication J. Taverne0 , A. Faz-Hern´andez1 , D. F. Aranha2 , F. Rodr´ıguez-Henr´ıquez1 , D. Hankerson3 , J. L´op Add to Reading List Source URL: delta.cs.cinvestav.mx Language: English - Date: 2014-08-19 19:28:54 Elliptic curve cryptography Finite fields Public-key cryptography Group theory Elliptic curves Elliptic curve Cryptography Multiplication algorithm Workshop on Cryptographic Hardware and Embedded Systems ECC patents
139	Isogenies, Polarisations and Real Multiplication — ICERM — Providence Gaëtan Bisson, Romain Cosset, Alina Dudeanu, Sorina Ionica, Dimitar Jetchev, David Lubicz, Chloe Martindale, Enea Milio, Damien Robert Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2015-09-29 23:28:43 Algebraic curves Algebraic surfaces Analytic number theory Group theory Elliptic curves Isogeny Abelian variety Elliptic curve Supersingular elliptic curve Localization of a category Supersingular isogeny key exchange Elliptic curve cryptography
140	The Intrinsic Hodge Theory of p-adic Hyperbolic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:26:02 Algebraic geometry Homological algebra Number theory Algebraic surfaces Analytic number theory Elliptic curve Prime number Abelian variety P-adic number Algebraic curve Motive

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