TY - BOOK AU - Reid,Miles AU - Skorobogatov,Alexei TI - Number Theory and Algebraic Geometry T2 - London Mathematical Society Lecture Note Series SN - 9780511734946 (ebook) AV - QA241 .N8663 2003 U1 - 512.7 22 PY - 2004/// CY - Cambridge PB - Cambridge University Press KW - Number theory KW - Geometry, Algebraic N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015) N2 - 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 UR - http://dx.doi.org/10.1017/CBO9780511734946 ER -