Algebraic curve

Results: 626



#Item
431Analytic number theory / Group theory / Elliptic curves / Algebraic number field / Birch and Swinnerton-Dyer conjecture / Classical modular curve / Golden ratio base / Abstract algebra / Mathematics / Number theory

DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c

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

Language: English - Date: 2009-08-31 00:19:19
432Analytic number theory / Modular forms / Riemann surfaces / Algebraic number theory / Group theory / Symbol / Elliptic curve / Valuation / Kronecker limit formula / Abstract algebra / Mathematics / Algebra

Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic fields By Henri Darmon and Samit Dasgupta Contents

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:56:54
433Algebraic topology / Modular forms / Homotopy theory / Riemann surfaces / Group theory / Covering space / Modular curve / Fuchsian group / Valuation / Abstract algebra / Mathematics / Topology

Riemann Surfaces This course on Riemann surfaces assumes that the reader is familiar with sheaf theory. 1

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Source URL: www.math.rug.nl

Language: English - Date: 2004-04-19 07:18:04
434Elliptic 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
435Analytic 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
436Field theory / Conjectures / Heegner point / Number theorists / Elliptic curve / Kenneth Alan Ribet / P-adic number / Prime number / Zeta function / Abstract algebra / Mathematics / Algebraic number theory

Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta A.B. (Harvard University) 1999

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:53:21
437Algebraic 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
438Algebraic 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
439Elliptic 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
440Linear algebra / Analytic number theory / Quadratic forms / Algebraic number theory / Real algebraic geometry / Elliptic curve / Symbol / Symplectic vector space / Algebraic number field / Algebra / Abstract algebra / Mathematics

DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with

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Source URL: www.math.harvard.edu

Language: English - Date: 2011-12-13 10:36:48
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