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Rational variety
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41	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
42	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
43	THE BRAUER–MANIN OBSTRUCTION AND X[2] M. J. BRIGHT, N. BRUIN, E. V. FLYNN, AND A. LOGAN Abstract. We discuss the Brauer–Manin obstruction on del Pezzo surfaces of degree 4. We outline a detailed algorithm for computi Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2007-07-11 19:14:38 Algebraic surfaces Algebraic varieties Group theory Del Pezzo surface Rational surface Cubic surface Hasse principle Algebraic number field Fano variety Abstract algebra Field theory Algebraic number theory
44	GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:48:34 Elliptic curves Algebraic topology Field theory Abelian variety Group scheme Formal group Rational point Supersingular elliptic curve Frobenius endomorphism Abstract algebra Algebraic number theory Algebraic groups
45	MOISHEZON SPACES IN RIGID GEOMETRY BRIAN CONRAD Abstract. We prove that all proper rigid-analytic spaces with “enough” algebraically independent meromorphic functions are algebraic (in the sense of proper algebraic s Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2010-08-21 00:45:36 Algebraic geometry and analytic geometry Algebraic variety Étale morphism Ample line bundle Rational mapping Sheaf Algebraic space Proper morphism Analytic space Abstract algebra Algebraic geometry Algebra
46	CM-InPractice Centralised management and control of policies and triggers When a variety of locations, projects and access rights need to be accommodated, keeping control of the multitude of policies and triggers requir Add to Reading List Source URL: www.cm-logic.com Language: English - Date: 2010-10-25 08:58:36 Computer programming Collaborative software Concurrent Versions System IBM Rational ClearCase IBM Rational ClearQuest Rational Software Database trigger IBM IBM Rational ClearCase UCM Computing Software UML Partners
47	Elliptic Curves over Q Steven Finch October 10, 2005 All polynomials and rational functions in this essay are assumed to have coeﬃcients in Q. Fix an integer n ≥ 1. An aﬃne variety is a simultaneous irreducible sys Add to Reading List Source URL: www.people.fas.harvard.edu Language: English - Date: 2014-02-09 14:07:28 Analytic number theory Elliptic curves Group theory Elliptic curve cryptography Algebraic curves Elliptic curve Abelian variety Birch and Swinnerton-Dyer conjecture Tripling-oriented Doche–Icart–Kohel curve Abstract algebra Algebraic geometry Mathematics
48	Birational Classification of Algebraic Threefolds Shigefumi Mori Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:48:34 Birational geometry Minimal model program Flip Cone of curves Canonical singularity Ample line bundle Surface of general type Rational mapping Algebraic variety Geometry Abstract algebra Algebraic geometry
49	7. Rational, unirational and rationally connected varieties In this section we give a geometric application of some of the ideas Add to Reading List Source URL: math.mit.edu Language: English - Date: 2008-03-20 08:45:15 Birational geometry Algebraic varieties Algebraic curves Vector bundles Rational variety Blowing up Rational point Conic section Ample line bundle Abstract algebra Algebraic geometry Geometry
50	1 Rationality, Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2005-08-02 02:29:23 Birational geometry Vector bundles Algebraic varieties Field theory Rational variety Ample line bundle Divisor Rational mapping Curve Abstract algebra Algebraic geometry Geometry

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