Jacobian curve

Results: 19



#Item
11Finite fields / Computational complexity theory / Elliptic curve cryptography / Elliptic curves / Elliptic curve / Hyperelliptic curve cryptography / Multiplication / Time complexity / Matrix / Abstract algebra / Mathematics / Cryptography

Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves Pradeep Kumar Mishra and Palash Sarkar Cryptology Research Group, Applied Statistics Unit, Indian Statistical Institute,

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Source URL: www.iacr.org

Language: English - Date: 2008-09-15 00:54:54
12Integral calculus / Multivariable calculus / Polar coordinate system / Integration by parts / Moment / Jacobian matrix and determinant / Calculus / Mathematical analysis / Mathematics

¡Fun with the bell curve! by your pal Ben kurtosis The main question is, why is the kurtosis of a N (0, 1) magically equal to three? Or more generally, why is Z ∞ −x2

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Source URL: ben.klemens.org

Language: English - Date: 2008-01-23 16:25:17
13Hodge theory / Homological algebra / Algebraic curves / Abelian varieties / Algebraic surfaces / Elliptic curve / Hodge structure / Moduli space / Intermediate Jacobian / Abstract algebra / Algebraic geometry / Geometry

Open problems: Descending cohomology, geometrically compiled by Barry Mazur * Open problems in mathematics, statistics, theoretical computer science and related areas are welcome. Please contact the section editor Kefeng

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Source URL: abel.math.harvard.edu

Language: English - Date: 2014-07-24 21:21:20
14Determinants / Differential calculus / Jacobian matrix and determinant / Matrices / Multivariable calculus / Entailment / Algebra / Mathematics / Logic

THE JACOBIAN AND FORMAL GROUP OF A CURVE OF GENUS 2 OVER AN ARBITRARY GROUND FIELD E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The ability to perform practical computations on particular c

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
15Algebraic surfaces / Kummer surface

The group law on the Jacobian of a curve of genus 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract An explicit description is given of the group law on the Jacobian of a curve C of genus 2. The Kummer

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
16Analytic number theory / Algebraic curves / Elliptic curve / Group theory / Symbol / Abelian variety / Quadratic form / Constructible universe / Classical modular curve / Algebraic geometry / Abstract algebra / Algebra

Descent via Isogeny in Dimension 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: Y 2 = q1 (X)q2 (X

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
17Algebraic number theory / Analytic number theory / Elliptic curve / Group theory / Kummer surface / Algebraic number field / P-adic number / Prime number / Abstract algebra / Mathematics / Field theory

CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
18Analytic number theory / Elliptic curve / Group theory / Jacobian matrix and determinant / Entailment / GEC / Continuous game / Mathematics / Algebra / Logic

A Flexible Method for Applying Chabauty’s Theorem E. V. Flynn, Mathematical Institute, University of Oxford Abstract A strategy is proposed for applying Chabauty’s Theorem to hyperelliptic curves of genus > 1. In the

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
19Geometry / Edwards curve / Hessian form of an elliptic curve / Elliptic curve / Jacobian curve / Curve / Table of costs of operations in elliptic curves / Tripling-oriented Doche–Icart–Kohel curve / Elliptic curve cryptography / Elliptic curves / Abstract algebra

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Source URL: cr.yp.to

Language: English - Date: 2007-10-28 14:06:36
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