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Elliptic geometry
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271	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
272	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
273	GALOIS SECTIONS FOR ABELIANIZED FUNDAMENTAL GROUPS arXiv:0808.2556v2 [math.AG] 9 Apr 2009 ´ SZAMUELY Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2012-04-13 17:27:34 Algebraic number theory Algebraic geometry Homological algebra Homotopy theory Étale cohomology Fundamental group Elliptic curve Galois module Abelian group Abstract algebra Algebra Algebraic topology
274	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
275	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
276	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
277	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curve cryptography Elliptic curves Analytic number theory Algebraic curves Elliptic curve Group theory Curve Rational point Rational function Abstract algebra Geometry Algebraic geometry
278	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 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:55:09 Analytic number theory Algebraic curves Algebraic number theory Modular forms Valuation Modular curve Riemann surface Elliptic curve P-adic number Abstract algebra Geometry Field theory
279	THREE NEW FACTORS OF FERMAT NUMBERS R. P. BRENT, R. E. CRANDALL, K. DILCHER, AND C. VAN HALEWYN Abstract We report the discovery of a new factor for each of the Fermat numbers F13 , F15 , F16 . These new factors have 27, Add to Reading List Source URL: gan.anu.edu.au Language: English - Date: 2003-11-05 11:07:22 Integer sequences Integer factorization algorithms Euclidean plane geometry Fermat number Number theory Pierre de Fermat Lenstra elliptic curve factorization Integer factorization Richard P. Brent Mathematics Abstract algebra Group theory
280	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curve Torsion Canonical bundle Abelian variety Modular curve Divisor Linear system of divisors Rational point Abstract algebra Algebraic geometry Geometry