Elliptic curves

Results: 668



#Item
531Symbol / Analytic number theory / Elliptic curve / Group theory

An Explicit Theory of Heights E. V. Flynn, Mathematical Institute, University of Oxford Abstract We consider the problem of explicitly determining the naive height constants for Jacobians of hyperelliptic curves. For gen

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

Language: English - Date: 2006-07-08 18:57:37
532Elliptic curve cryptography / Elliptic curves / Analytic number theory / Algebraic curves / Elliptic curve / Group theory / Curve / Rational point / Rational function / Abstract algebra / Geometry / Algebraic geometry

Covering Collections and a Challenge Problem of Serre E. Victor Flynn*, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We answer

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

Language: English - Date: 2006-07-08 18:57:36
533Analytic number theory / Algebraic curves / Algebraic number theory / Modular forms / Valuation / Modular curve / Riemann surface / Elliptic curve / P-adic number / Abstract algebra / Geometry / Field theory

Ann. Scient. Éc. Norm. Sup., 4e série, t. 38, 2005, p. 427 à 469. STARK–HEEGNER POINTS ON MODULAR JACOBIANS B Y S AMIT DASGUPTA A BSTRACT. – We present a construction which lifts Darmon’s Stark–Heegner points

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:55:09
534Algebraic curves / Elliptic curve / Torsion / Canonical bundle / Abelian variety / Modular curve / Divisor / Linear system of divisors / Rational point / Abstract algebra / Algebraic geometry / Geometry

LARGE RATIONAL TORSION ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract A method of searching for large rational torsion on Abelian varieties is described. A few explicit applicatio

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

Language: English - Date: 2006-07-08 18:57:36
535Algebraic curves / Number theory / Elliptic curves / Diophantine geometry / Analytic number theory / Birch and Swinnerton-Dyer conjecture / Tate–Shafarevich group / Abelian variety / Modular curve / Abstract algebra / Algebraic geometry / Mathematics

MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]EMPIRICAL EVIDENCE FOR THE BIRCH AND SWINNERTON-DYER CONJECTURES FOR MODULAR JACOBIANS OF GENUS 2 CURVES

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

Language: English - Date: 2006-07-08 18:57:36
536Analytic number theory / Elliptic curve / Group theory / Covering space / Locomotives of the London and North Eastern Railway / Abstract algebra / Topology / Mathematics

CYCLES OF COVERS E. V. FLYNN AND J. WUNDERLE Abstract. We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty’s Theorem is not applicable, and which even resis

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

Language: English - Date: 2009-08-31 00:19:24
537Cubic plane curve / Projective plane / Elliptic curve / Real projective plane / Projective space / Geometry / Projective geometry / Homogeneous coordinates

MATH CIRCLE - ELLIPTIC CURVES WEEK 4 SAM LICHTENSTEIN This week we picked up where we left off regarding the use of so-called homogeneous coordinates on the projective plane instead of ordinary coordinates on the ordinar

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Source URL: www.themathcircle.org

Language: English - Date: 2007-11-02 22:35:37
538Elliptic curves / Group theory / Supersingular elliptic curve / Isogeny / Dual abelian variety / Localization of a category / Classical modular curve / Abstract algebra / Algebraic geometry / Analytic number theory

TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER

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Source URL: eprint.iacr.org

Language: English - Date: 2012-07-04 11:29:25
539Diophantine geometry / Elliptic curves / Abelian varieties / Analytic number theory / Group theory / Mordell–Weil theorem / Rational point / Arithmetic of abelian varieties / Curve / Abstract algebra / Mathematics / Algebraic geometry

Elliptic curves, their companions, and their statistics Barry Mazur What is the probability that a cubic plane curve with rational coefficients has infinitely many rational points? Questions of this type (more exactly fo

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Source URL: www.math.harvard.edu

Language: English - Date: 2011-12-13 10:36:46
540Analytic number theory / Elliptic curve / Group theory

SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ

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Source URL: www.math.harvard.edu

Language: English - Date: 2012-03-09 13:52:58
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