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Genus theory
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#	Item
71	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Analytic number theory Algebraic curves Elliptic curve Group theory Symbol Abelian variety Quadratic form Constructible universe Classical modular curve Algebraic geometry Abstract algebra Algebra
72	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic number theory Analytic number theory Elliptic curve Group theory Kummer surface Algebraic number field P-adic number Prime number Abstract algebra Mathematics Field theory
73	Finding Rational Points on Bielliptic Genus 2 Curves E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We discuss Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curves Elliptic curve Elliptic curve cryptography Constructible universe Finite fields Abstract algebra Analytic number theory Group theory
74	Coverings of Curves of Genus 2 E.V. Flynn Mathematical Institute, University of Oxford Oxford OX1 3LB, United Kingdom [removed] Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Analytic number theory Elliptic curve Elliptic curve cryptography Elliptic curves Number theory Abstract algebra Group theory Mathematics
75	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Analytic number theory Elliptic curve Group theory Jacobian matrix and determinant Entailment GEC Continuous game Mathematics Algebra Logic
76 $Analytic number theory / Group theory / Elliptic curve / Genus of a multiplicative sequence / Field extension / Polynomials / Galois theory / Inverse Galois problem / Partial fraction / Abstract algebra / Algebra / Mathematics$	On Q-Derived Polynomials E.V. Flynn, Mathematical Institute, University of Oxford Abstract It is known that Q-derived univariate polynomials (polynomials defined over Q, with the property that they and all their derivati Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Analytic number theory Group theory Elliptic curve Genus of a multiplicative sequence Field extension Polynomials Galois theory Inverse Galois problem Partial fraction Abstract algebra Algebra Mathematics
77	p-adic aspects of Jacobi forms Adriana Sofer Department of Mathematics Princeton University [removed] Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2006-08-24 12:52:05 Field theory Number theory Symbol Valuation Modular form P-adic number Ring of integers Orbifold Genus of a multiplicative sequence Abstract algebra Mathematics Algebra
78	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic 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
79	Jacobians of Curves of Genus One A thesis presented by Catherine Helen O’Neil to The Department of Mathematics Add to Reading List Source URL: www.wstein.org Language: English Algebraic curves Differential geometry Abelian varieties Analytic number theory Elliptic curve Group theory Curve Projective space Torsion tensor Geometry Abstract algebra Algebraic geometry
80	Explicit isogenies and endomorphisms of low-genus Jacobians: theory and applications Benjamin Smith Team GRACE INRIA Saclay–ˆIle-de-France ´ Add to Reading List Source URL: www.mathtube.org Language: English - Date: 2013-09-20 13:11:47 Algebraic curves Moduli space Abelian variety Endomorphism Krull dimension Genus Elliptic curve Abstract algebra Algebraic geometry Mathematics

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