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Algebraic number field
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561	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Hyperelliptic curve Elliptic curve Curve Symbol Algebraic number field Imaginary hyperelliptic curve Abstract algebra Geometry Mathematics
562	Stark’s Conjectures by Samit Dasgupta a thesis Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:54:05 Algebraic number theory Field theory Conjectures Number theory Class field theory Brumer–Stark conjecture Artin L-function Class number formula Dedekind zeta function Abstract algebra Mathematics Algebra
563	Journal de Théorie des Nombres de Bordeaux 00 (XXXX), 000–000 Non-trivial X Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:33 Field theory Group theory Elliptic curves Finite fields Abstract algebra Algebraic number theory Algebraic number field
564	A SHINTANI-TYPE FORMULA FOR GROSS–STARK UNITS OVER FUNCTION FIELDS SAMIT DASGUPTA ALISON MILLER Abstract. Let F be a totally real number field of degree n, and let H be a finite abelian extension of F . Let p denote a Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2009-09-15 17:09:34 Field theory Algebraic number theory Algebraic number field Brumer–Stark conjecture Finite field Field Dirichlet series Frobenius endomorphism Spectral theory of ordinary differential equations Abstract algebra Algebra Mathematics
565	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:28 Mathematical analysis Algebra Algebraic number theory Quantum field theory Dyadic cubes Abstract simplicial complex Abstract algebra Genus of a multiplicative sequence Harmonic analysis
566	MP473 EXAM, Semester 2, 1994 (In what follows, OK denotes the ring of integers in an algebraic number field K. Also if θ ∈ K, mθ (x) denotes the minimum polynomial of θ.) 1. Define the terms integral basis of K, DK Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:19:38 Ideals Field theory Connection Differential geometry Discriminant of an algebraic number field Abstract algebra Algebraic number theory Ideal class group
567	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 Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic number theory Analytic number theory Elliptic curve Group theory Kummer surface Algebraic number field P-adic number Prime number Abstract algebra Mathematics Field theory
568	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
569	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
570	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

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