Algebraic varieties

Results: 352



#Item
291Algebraic varieties / Scheme theory / Zariski topology / Polynomials / Algebraic space / Zariski geometry / Abstract algebra / Algebra / Algebraic geometry

Course 311: Commutative Algebra and Algebraic Geometry Problems Academic year 2007–8 1. (a) Show that the cubic curve {(t, t2 , t3 ) ∈ A3 (R) : t ∈ R} is an algebraic set. (b) Show that the cone {(s cos t, s sin t,

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Source URL: www.maths.tcd.ie

Language: English - Date: 2008-01-31 11:03:39
292Algebraic geometry / Commutative algebra / Scheme theory / Divisor / Field extension / Polynomial ring / Representation theory / Tangent space / Dimension of an algebraic variety / Abstract algebra / Algebra / Algebraic varieties

Introduction to Algebraic Geometry Igor V. Dolgachev August 19, 2013 ii

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Source URL: www.math.lsa.umich.edu

Language: English - Date: 2013-08-19 22:31:57
293Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / Abelian varieties / Tate–Shafarevich group / Birch and Swinnerton-Dyer conjecture / Heegner point / Peter Swinnerton-Dyer / Mathematics / Abstract algebra / Algebraic geometry

William A. Stein[removed]Curriculum Vitae – April 2013 ·

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Source URL: www.williamstein.org

Language: English - Date: 2013-04-04 22:09:51
294Scheme theory / Sheaf theory / Algebraic varieties / Scheme / Spectrum of a ring / Sheaf / Ringed space / Moduli space / Zariski topology / Abstract algebra / Algebraic geometry / Geometry

Algebraic geometry over H M. Verbitsky Algebraic geometry over quaternions Misha Verbitsky

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Source URL: imperium.lenin.ru

Language: English - Date: 2007-12-03 04:02:56
295Abelian varieties / Algebraic curves / Elliptic curves / Diophantine geometry / Analytic number theory / Mordell–Weil theorem / Kummer surface / Dual abelian variety / Isogeny / Abstract algebra / Algebraic geometry / Geometry

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
296Algebraic curves / Diophantine geometry / Algebraic surfaces / Abelian varieties / Analytic number theory / Elliptic curve / Mordell–Weil theorem / Hyperelliptic curve / Canonical bundle / Algebraic geometry / Abstract algebra / Geometry

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
297Algebraic curves / Abelian variety / Hyperelliptic curve / Elliptic curve / Torsion / Divisor / Algebraic number field / Ample line bundle / Linear system of divisors / Abstract algebra / Algebraic geometry / Geometry

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:37
298Algebraic curves / Elliptic curve / Torsion / Canonical bundle / Abelian variety / Modular curve / Divisor / Linear system of divisors / Rational point / Abstract algebra / Algebraic geometry / Geometry

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
299Algebraic 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

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2007-07-11 19:14:38
300Algebraic geometry / Hodge theory / Algebraic topology / Vector bundles / Homological algebra / Lefschetz hyperplane theorem / Serre duality / Ample line bundle / Kodaira vanishing theorem / Abstract algebra / Geometry / Mathematics

CHAPTER 1. TOPOLOGY OF ALGEBRAIC VARIETIES, HODGE DECOMPOSITION, AND APPLICATIONS Contents 1. The Lefschetz hyperplane theorem

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Source URL: homepages.math.uic.edu

Language: English - Date: 2011-08-30 23:19:19
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