Name: Number Theory and Algebraic Geometry By Miles Reid (University of Warwick)
SKU: 9780521545181
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Number Theory and Algebraic Geometry Summary

Number Theory and Algebraic Geometry by Miles Reid (University of Warwick)

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.

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.

Additional information

Sku

NLS9780521545181

ISBN 13

9780521545181

ISBN 10

0521545188

Title

Number Theory and Algebraic Geometry by Miles Reid (University of Warwick)

Author

Miles Reid (University of Warwick)

Series

London Mathematical Society Lecture Note Series

Condition

New

Binding type

Paperback

Publisher

Cambridge University Press

Year published

2004-01-26

Number of pages

308

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Number Theory and Algebraic Geometry Miles Reid (University of Warwick)

Number Theory and Algebraic Geometry by Miles Reid (University of Warwick)

Summary

Number Theory and Algebraic Geometry Summary

Number Theory and Algebraic Geometry by Miles Reid (University of Warwick)

Table of Contents

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