Format:
1 Online-Ressource (v, 300 pages)
,
digital, PDF file(s).
ISBN:
9780511734946
Series Statement:
London Mathematical Society lecture note series 303
Content:
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.
Content:
1. In lieu of birthday greetings J.B. Birch, Jean-Louis Colliot-The;lène, 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 polynôme à une variable represente;es par une norme J.-L. Colliot-The;lène, 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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521545181
Additional Edition:
ISBN 9780521545181
Additional Edition:
ISBN 9780521545181
Additional Edition:
Erscheint auch als Number theory and algebraic geometry Cambridge [u.a.] : Cambridge University Press, 2003 ISBN 0521545188
Additional Edition:
Print version ISBN 9780521545181
Language:
English
Subjects:
Mathematics
Keywords:
Zahlentheorie
;
Algebraische Geometrie
;
Aufsatzsammlung
DOI:
10.1017/CBO9780511734946
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