Abelian varieties

Results: 159



#Item
131Algebraic curves / Diophantine geometry / Algebraic surfaces / Abelian varieties / Analytic number theory / Elliptic curve / Mordell–Weil theorem / Hyperelliptic curve / Canonical bundle / Algebraic geometry / Abstract algebra / Geometry

TOWERS OF 2-COVERS OF HYPERELLIPTIC CURVES NILS BRUIN AND E. VICTOR FLYNN Abstract. In this article, we give a way of constructing an unramified Galoiscover of a hyperelliptic curve. The geometric Galois-group is an elem

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

Language: English - Date: 2006-07-08 18:57:36
132Algebraic curves / Abelian variety / Hyperelliptic curve / Elliptic curve / Torsion / Divisor / Algebraic number field / Ample line bundle / Linear system of divisors / Abstract algebra / Algebraic geometry / Geometry

SEQUENCES OF RATIONAL TORSIONS ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract We address the question of how fast the available rational torsion on abelian varieties over Q increa

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

Language: English - Date: 2006-07-08 18:57:37
133Algebraic 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
134Diophantine 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
135Diophantine geometry / Elliptic curves / Abelian varieties / Analytic number theory / Group theory / Mordell–Weil theorem / Rational point / Barry Mazur / Prime number / Abstract algebra / Mathematics / Number theory

ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-11-03 13:39:15
136Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: sage.math.washington.edu

Language: English - Date: 2013-04-04 22:09:51
137Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: wstein.org

Language: English - Date: 2013-04-04 22:09:51
138Algebraic curves / Differential geometry / Abelian varieties / Analytic number theory / Elliptic curve / Group theory / Curve / Projective space / Torsion tensor / Geometry / Abstract algebra / Algebraic geometry

Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics

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Source URL: www.wstein.org

Language: English
139Algebraic number theory / Group theory / Algebraic groups / Abelian variety / Group scheme / Elliptic curve / Torsion subgroup / Torsion / Semistable abelian variety / Abstract algebra / Algebra / Niels Henrik Abel

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

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Source URL: math.stanford.edu

Language: English - Date: 2006-08-06 11:01:44
140Number theory / Elliptic curves / Analytic number theory / Abelian varieties / Diophantine geometry / Birch and Swinnerton-Dyer conjecture / Tate–Shafarevich group / Modular form / Arithmetic of abelian varieties / Abstract algebra / Mathematics / Algebraic geometry

Results from MathSciNet: Mathematical Reviews on the Web c Copyright American Mathematical Society 2005 MR2085902 11G40 11G10 Agashe, Amod (1-TX) ;

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Source URL: wstein.org

Language: English - Date: 2005-03-09 18:44:18
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