Peter Swinnerton-Dyer's mathematical occupation encompasses greater than 60 years' paintings of fantastic creativity. This quantity, devoted to him at the party of his seventy fifth birthday, presents modern perception into numerous topics during which his impression has been impressive. The contributions come from top researchers in analytic and mathematics quantity thought, and algebraic geometry. subject matters handled comprise rational issues on algebraic forms, the Hasse precept, Shafarevich-Tate teams of elliptic curves and causes, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano types.
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