Number Theory and Algebraic Geometry

doi:10.1017/CBO9780511734946

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Creutz, Brendan 2013. Explicit descent in the Picard group of a cyclic cover of the projective line. The Open Book Series, Vol. 1, Issue. 1, p. 295.

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Edited by Miles Reid, University of Warwick, Alexei Skorobogatov, Imperial College of Science, Technology and Medicine, London

Publisher:: Cambridge University Press
Online publication date:: August 2010
Print publication year:: 2004
Online ISBN:: 9780511734946
DOI:: https://doi.org/10.1017/CBO9780511734946

Subjects:: Mathematics (general), Mathematics, Number Theory
Series:: London Mathematical Society Lecture Note Series (303)

58.99 (GBP)

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Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties.

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Number Theory and Algebraic Geometry

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Frontmatter
pp i-iv

Contents
pp v-vi

In Lieu of Birthday Greetings
pp 1-22

Peter Swinnerton-Dyer's mathematical papers to date
pp 23-30

On the Hasse principle for bielliptic surfaces
pp 31-40

Effective Diophantine approximation on Gm
pp 41-62

A Diophantine system
pp 63-68

Valeurs d'un polynôme à une variable représentées par une norme
pp 69-90

Constructing elements in Shafarevich–Tate groups of modular motives
pp 91-118

A counterexample to a conjecture of Selmer
pp 119-132

Linear relations amongst sums of two squares
pp 133-176

Kronecker double series and the dilogarithm
pp 177-202

On Shafarevich–Tate groups and the arithmetic of Fermat curves
pp 203-226

Cascades of projections from log del Pezzo surfaces
pp 227-250

On obstructions to the Hasse principle
pp 251-278

Abelian surfaces with odd bilevel structure
pp 279-300

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Number Theory and Algebraic Geometry

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