Algebraic curve

Results: 626



#Item
421Algebraic curves / Hyperelliptic curve / Elliptic curve / Curve / Symbol / Algebraic number field / Imaginary hyperelliptic curve / Abstract algebra / Geometry / Mathematics

N -COVERS OF HYPERELLIPTIC CURVES N. BRUIN AND E.V. FLYNN Abstract. For a hyperelliptic curve C of genus g with a divisor class of order n = g + 1, we shall consider an associated covering collection of curves Dδ , each

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

Language: English - Date: 2006-07-08 18:57:36
422Mathematical analysis / Algebra / Algebraic number theory / Quantum field theory / Dyadic cubes / Abstract simplicial complex / Abstract algebra / Genus of a multiplicative sequence / Harmonic analysis

HOMOGENEOUS SPACES AND DEGREE 4 DEL PEZZO SURFACES E.V. FLYNN Abstract. It is known that, given a genus 2 curve C : y 2 = f (x), where f (x) is quintic and defined over a field K, of characteristic different from 2, and

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

Language: English - Date: 2009-08-31 00:19:28
423Analytic number theory / Algebraic curves / Elliptic curve / Group theory / Symbol / Abelian variety / Quadratic form / Constructible universe / Classical modular curve / Algebraic geometry / Abstract algebra / Algebra

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

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

Language: English - Date: 2006-07-08 18:57:37
424Algebraic number theory / Analytic number theory / Elliptic curve / Group theory / Kummer surface / Algebraic number field / P-adic number / Prime number / Abstract algebra / Mathematics / Field theory

CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati

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Language: English - Date: 2006-07-08 18:57:36
425Vector bundles / Algebraic number theory / Field theory / Number theory / Algebraic curves / Elliptic curve / Divisor / Canonical bundle / Hasse principle / Abstract algebra / Mathematics / Algebraic geometry

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

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

Language: English - Date: 2006-07-08 18:57:36
426Algebraic number theory / Algebraic geometry / Homological algebra / Homotopy theory / Étale cohomology / Fundamental group / Elliptic curve / Galois module / Abelian group / Abstract algebra / Algebra / Algebraic topology

GALOIS SECTIONS FOR ABELIANIZED FUNDAMENTAL GROUPS arXiv:0808.2556v2 [math.AG] 9 Apr 2009 ´ SZAMUELY

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

Language: English - Date: 2012-04-13 17:27:34
427Elliptic 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

David R. Kohel School of Mathematics and Statistics University of Sydney, F07 NSW 2006 Australia DOB: 27 February 1966

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Source URL: echidna.maths.usyd.edu.au

Language: English - Date: 2005-08-23 07:34:54
428Algebraic 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
429Algebraic 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
430Analytic 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

ON FINITENESS CONJECTURES FOR ENDOMORPHISM ALGEBRAS OF ABELIAN SURFACES ´ NILS BRUIN, E. VICTOR FLYNN, JOSEP GONZALEZ, AND VICTOR ROTGER

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

Language: English - Date: 2006-08-09 23:07:39
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