
Number Theory and Algebraic Geometry
Cambridge University Press
Published on 26. January 2004
Book
Paperback/Softback
308 pages
978-0-521-54518-1 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 18 mm
Weight
503 gr
ISBN-13
978-0-521-54518-1 (9780521545181)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Miles Reid | Alexei Skorobogatov
Number Theory and Algebraic Geometry
E-Book
05/2012
1st Edition
Cambridge University Press
€66.49
Available for download
Persons
Editor
University of Warwick
Imperial College of Science, Technology and Medicine, London
Content
1. In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-Thelene, G. K. Sankaran, Miles Reid and Alexei Skorobogatov; 2. Peter Swinnerton-Dyer's mathematical papers to date; 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov; 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen; 5. A Diophantine system Andrew Bremner; 6. Valeurs d'un polynome a une variable representees par une norme J.-L. Colliot-Thelene, D. Harari and A. N. Skorobogatov; 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins; 8. A counterexample to a conjecture of Selmer Tom Fisher; 9. Linear relations amongst sums of two squares D. R. Heath-Brown; 10. Kronecker double series and the dilogarithm Andrey Levin; 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias; 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki; 13. On obstructions to the Hasse principle Per Salberger; 14. Abelian surfaces with odd bilevel structure G. K. Sankaran.