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Elliptic curves
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#	Item
521	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
522	THE HASSE PRINCIPLE AND THE BRAUER-MANIN OBSTRUCTION FOR CURVES E.V. FLYNN Abstract. We discuss a range of ways, extending existing methods, to demonstrate violations of the Hasse principle on curves. Of particular inter Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Vector bundles Algebraic number theory Field theory Number theory Algebraic curves Elliptic curve Divisor Canonical bundle Hasse principle Abstract algebra Mathematics Algebraic geometry
523	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
524	David R. Kohel School of Mathematics and Statistics University of Sydney, F07 NSW 2006 Australia DOB: 27 February 1966 Add to Reading List Source URL: echidna.maths.usyd.edu.au Language: English - Date: 2005-08-23 07:34:54 Elliptic curves Algebraic curves Analytic number theory Finite fields Computational number theory Magma computer algebra system Supersingular elliptic curve Heegner point Algorithmic Number Theory Symposium Abstract algebra Mathematics Geometry
525	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
526	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
527	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Diophantine geometry Algebraic surfaces Abelian varieties Analytic number theory Elliptic curve Mordell–Weil theorem Hyperelliptic curve Canonical bundle Algebraic geometry Abstract algebra Geometry
528	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
529	ON FINITENESS CONJECTURES FOR ENDOMORPHISM ALGEBRAS OF ABELIAN SURFACES ´ NILS BRUIN, E. VICTOR FLYNN, JOSEP GONZALEZ, AND VICTOR ROTGER Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-08-09 23:07:39 Analytic number theory Group theory Algebraic curves Algebraic number theory Elliptic curve Shimura variety Abelian variety Algebraic number field Quaternion algebra Abstract algebra Algebra Field theory
530	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:19 Analytic 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

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