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Mathematical Institute, University of Oxford
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#	Item
31	THE JACOBIAN AND FORMAL GROUP OF A CURVE OF GENUS 2 OVER AN ARBITRARY GROUND FIELD E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The ability to perform practical computations on particular c Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Determinants Differential calculus Jacobian matrix and determinant Matrices Multivariable calculus Entailment Algebra Mathematics Logic
32	The group law on the Jacobian of a curve of genus 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract An explicit description is given of the group law on the Jacobian of a curve C of genus 2. The Kummer Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Algebraic surfaces Kummer surface
33	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
34	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
35	Solving Diophantine Problems on Curves via Descent on the Jacobian E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The theory of Jacobians of curves has largely been developed in a vacuum, wit Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Abelian varieties Algebraic curves Elliptic curves Diophantine geometry Analytic number theory Mordell–Weil theorem Kummer surface Dual abelian variety Isogeny Abstract algebra Algebraic geometry Geometry
36	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
37	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
38	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
39	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Algebraic curves Abelian variety Hyperelliptic curve Elliptic curve Torsion Divisor Algebraic number field Ample line bundle Linear system of divisors Abstract algebra Algebraic geometry Geometry
40	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Symbol Analytic number theory Elliptic curve Group theory