Jacobian curve

Results: 19



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1

On the modular curve X0 (23) Ren´e Schoof Abstract. The Jacobian J0 (23) of the modular curve X0 (23) is a semi-stable abelian variety over Q with good reduction outside 23. It is simple. We prove that every simple semi

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Source URL: www.mat.uniroma2.it

Language: English - Date: 2012-05-21 17:42:16
    2

    The probability of primality of the order of a genus 2 curve Jacobian

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    Source URL: 2010.eccworkshop.org

    Language: English - Date: 2011-06-11 05:34:09
      3Algebra / Abstract algebra / Geometry / Algebraic curves / Hyperelliptic curve / Abelian variety / Elliptic curve / Complex multiplication / Endomorphism ring / Jacobian variety / Ring / Ample line bundle

      Explicit Endomorphisms and Correspondences Benjamin Smith A thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2005.

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      Source URL: iml.univ-mrs.fr

      Language: English - Date: 2014-09-16 07:31:25
      4Mathematics / Algebra / Abstract algebra / Model theory / Algebraic varieties / Functions and mappings / Algebraic curves / Morphism of algebraic varieties / Interpretation / Elliptic curve / Divisor / Strongly minimal theory

      A curve and its abstract Jacobian Boris Zilber University of Oxford August 22, 2012 Abstract Let C(K) be the K-points of a smooth projective curve C of genus

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

      Language: English - Date: 2012-08-22 07:02:47
      5

      EXPLICIT KUMMER SURFACE FORMULAS FOR ARBITRARY CHARACTERISTIC ¨ JAN STEFFEN MULLER Abstract. If C is a curve of genus 2 defined over a field k and J is its Jacobian, then we can associate a hypersurface K in P3 to J,

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      Source URL: www.math.uni-hamburg.de

      Language: English - Date: 2012-11-13 10:10:31
        6

        Computing canonical heights using arithmetic intersection theory We show how the canonical height on the Jacobian of a smooth projective curve over a number field can be computed in practice using arithmetic intersection

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        Source URL: www.uni-regensburg.de

          7Numerical software / Elliptic curve cryptography / Elliptic curves

          Double-and-Add with Relative Jacobian Coordinates Björn Fay December 20, 2014 Abstract

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          Source URL: eprint.iacr.org

          Language: English - Date: 2014-12-20 14:49:05
          8Elliptic curves / Finite fields / Analytic number theory / Elliptic curve / Group theory / Edwards curve / Inversive geometry / Hessian form of an elliptic curve / Jacobian curve / Abstract algebra / Cryptography / Elliptic curve cryptography

          Novel Precomputation Schemes for Elliptic Curve Cryptosystems Patrick Longa, and Catherine Gebotys Department of Electrical and Computer Engineering University of Waterloo, Canada {plonga, cgebotys}@uwaterloo.ca

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          Source URL: eprint.iacr.org

          Language: English - Date: 2009-01-08 14:48:27
          9Algebraic curves / Moduli theory / Abelian varieties / Riemann surfaces / Schottky problem / Modular form / Hyperelliptic curve / Moduli space / Jacobian variety / Algebraic geometry / Abstract algebra / Geometry

          Satake compactications, Lattices and Schottky problem Giulio Codogni University of Cambridge Selwyn College

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          Source URL: ricerca.mat.uniroma3.it

          Language: English - Date: 2014-06-09 03:35:57
          10Algebraic curves / Algebraic surfaces / Elliptic curves / Analytic number theory / Abelian varieties / Isogeny / Hyperelliptic curve / Supersingular elliptic curve / Weil restriction / Algebraic geometry / Abstract algebra / Geometry

          CONSTRUCTING PAIRING-FRIENDLY HYPERELLIPTIC CURVES USING WEIL RESTRICTION DAVID MANDELL FREEMAN1 AND TAKAKAZU SATOH2 Abstract. A pairing-friendly curve is a curve over a finite field whose Jacobian has small embedding de

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          Source URL: theory.stanford.edu

          Language: English - Date: 2010-07-03 02:01:33
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