Number Theory and Algebraic Geometry
Number Theory and Algebraic Geometry by Miles Reid, published by Cambridge University Press in 2003, is a comprehensive volume dedicated to the influential work of Sir Peter Swinnerton-Dyer, celebrating his 75th birthday. This 300-page book presents contemporary insights into various mathematical subjects where Sir Peter’s contributions have been significant, including number theory and algebraic geometry.
Readers will find a collection of contributions from leading researchers that delve into topics such as rational points on algebraic varieties, the Hasse principle, and Shafarevich-Tate groups of elliptic curves. The book also explores Zagier’s conjectures, descent and zero-cycles, Diophantine approximation, and the study of Abelian and Fano varieties. This edition serves as a valuable resource for those interested in the intersections of mathematics, geometry, and algebra.
Official synopsis Publisher
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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