Number Theory and Algebraic Geometry (eBook, PDF)

Redaktion: Reid, Miles

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 26. Januar 2004
• Englisch
• ISBN-13: 9781139238724
• Artikelnr.: 38275601

Inhaltsangabe

1. In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-Thélène,
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 representées par une norme J.-L. Colliot-Thélène, 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.