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Supersingular variety
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11	Isogenies and endomorphism rings of elliptic curves ECC Summer School Damien Robert Microsoft ResearchNancy) Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:05 Elliptic curves Algebraic curves Analytic number theory Algebraic surfaces Supersingular elliptic curve Elliptic curve Isogeny Abelian variety Supersingular variety Supersingular isogeny key exchange Elliptic curve cryptography
12	Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2011-04-01 18:55:43 Cryptography Algebraic surfaces Group theory Analytic number theory Abelian variety Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
13	FAMILIES OF RAMANUJAN GRAPHS AND QUATERNION ALGEBRAS DENIS X. CHARLES, EYAL Z. GOREN AND KRISTIN E. LAUTER Contents 1. Introduction 2. Quaternion algebras and superspecial points Add to Reading List Source URL: research.microsoft.com Language: English - Date: 2007-11-14 22:19:22 Analytic number theory Algebraic number theory Algebraic curves Niels Henrik Abel Group theory Quaternion algebra Supersingular elliptic curve Quaternion Abelian variety Abstract algebra Mathematics Algebra
14	Isogeny-based quantum-resistant undeniable signatures David Jao1 and Vladimir Soukharev2 1 Department of Combinatorics and Optimization Add to Reading List Source URL: cacr.uwaterloo.ca Language: English - Date: 2014-07-22 11:45:39 Isogeny Dual abelian variety Undeniable signature Elliptic curve Digital signature Localization of a category Designated verifier signature Abstract algebra Cryptography Supersingular elliptic curve
15	TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-07-04 11:29:25 Elliptic curves Group theory Supersingular elliptic curve Isogeny Dual abelian variety Localization of a category Classical modular curve Abstract algebra Algebraic geometry Analytic number theory
16	GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:48:34 Elliptic curves Algebraic topology Field theory Abelian variety Group scheme Formal group Rational point Supersingular elliptic curve Frobenius endomorphism Abstract algebra Algebraic number theory Algebraic groups
17	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry
18	HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES BRIAN CONRAD 1. Introduction 1.1. Motivation. Let E be an elliptic curve over a p-adic integer ring R, and assume that E has supersingular reduction. Consider the 2-d Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-08-06 11:01:44 Algebraic number theory Group theory Algebraic groups Abelian variety Group scheme Elliptic curve Torsion subgroup Torsion Semistable abelian variety Abstract algebra Algebra Niels Henrik Abel
19	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
20	Arithmetic Hirzebruch Zagier cycles by Stephen S. Kudla1 arXiv:math.AG[removed]v1 16 Apr 1999 Add to Reading List Source URL: www.math.toronto.edu Language: English - Date: 2007-09-12 16:04:44 Analytic number theory Algebraic geometry Supersingular elliptic curve Modular form Shimura variety Clifford algebra Formal group Moduli space Holomorphic functional calculus Abstract algebra Algebra Moduli theory