Number Theory and Algebraic Geometry (London Mathematical Society Lecture Note Series, Series Number 303) - Softcover

Softcover

ISBN 10: 0521545188 ISBN 13: 9780521545181

Publisher: Cambridge University Press, 2004

Synopsis

Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume, dedicated to him on the occasion of his 75th birthday, provides contemporary insight into several subjects in which his influence has been notable. The contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. 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.

About this title

Book Description:

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.

About the Author:

Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2004
• ISBN 10: 0521545188
• ISBN 13: 9780521545181
• Binding: Paperback
• Edition number: 1
• Number of pages: 308
• Editor: Reid Miles, Skorobogatov Alexei