Number theory and algebraic geometry

Miles Reid, Alexei Skorobogatov - Collection London Mathematical Society Student Texts

300 pages, parution le 15/01/2003

Ajouter à une liste

Indisponible

Résumé

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.

Sommaire

In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-Thélène, G. K. Sankaran, Miles Reid and Alexei Skorobogatov
Peter Swinnerton-Dyer's mathematical papers to date
On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov
Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen
A Diophantine system Andrew Bremner
Valeurs d'un polynôme à une variable representées par une norme J.-L. Colliot-Thélène, D. Harari and A. N. Skorobogatov
Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins
A counterexample to a conjecture of Selmer Tom Fisher
Linear relations amongst sums of two squares D. R. Heath-Brown
Kronecker double series and the dilogarithm Andrey Levin
On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias
Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki
On obstructions to the Hasse principle Per Salberger
Abelian surfaces with odd bilevel structure G. K. Sankaran.

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Miles Reid, Alexei Skorobogatov
Collection	London Mathematical Society Student Texts
Parution	15/01/2003
Nb. de pages	300
Format	15,2 x 22,6
Couverture	Broché
Poids	409g
Intérieur	Noir et Blanc
EAN13	9780521545181
ISBN13	978-0-521-54518-1