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  3. Number Theory and Algebraic Geometry
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
August 2010
Print publication year:
2004
Online ISBN:
9780511734946
DOI:
https://doi.org/10.1017/CBO9780511734946
Subjects:
Mathematics (general), Mathematics, Number Theory
Series:
London Mathematical Society Lecture Note Series (303)
Information

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.

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