02167nam a22003858a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002400195082001400219245008700233246003900320260005200359264005200411300005900463336002600522337002600548338003600574490006300610500007300673520074200746650001801488650002401506700004101530700005001571776003501621786001401656830006401670856004701734CR9780511734946UkCbUP20160624102258.0m|||||o||d||||||||cr||||||||||||100325s2004||||enk s ||1 0|eng|d a9780511734946 (ebook) z9780521545181 (paperback) aUkCbUPcUkCbUPerda00aQA241 b.N8663 200300a512.722200aNumber Theory and Algebraic Geometry /cEdited by Miles Reid, Alexei Skorobogatov.3 aNumber Theory & Algebraic Geometry 1aCambridge :bCambridge University Press,c2004. 1aCambridge :bCambridge University Press,c2004. a1 online resource (306 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 303 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aSir 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. 0aNumber theory 0aGeometry, Algebraic1 aReid, Miles,eeditor of compilation.1 aSkorobogatov, Alexei,eeditor of compilation.08iPrint version: z9780521545181 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 303.40uhttp://dx.doi.org/10.1017/CBO9780511734946