This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
1. In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-Thélène, G. K. Sankaran, Miles Reid and Alexei Skorobogatov; 2. Peter Swinnerton-Dyer's mathematical papers to date; 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov; 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen; 5. A Diophantine system Andrew Bremner; 6. Valeurs d'un polynôme à une variable representées par une norme J.-L. Colliot-Thélène, D. Harari and A. N. Skorobogatov; 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins; 8. A counterexample to a conjecture of Selmer Tom Fisher; 9. Linear relations amongst sums of two squares D. R. Heath-Brown; 10. Kronecker double series and the dilogarithm Andrey Levin; 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias; 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki; 13. On obstructions to the Hasse principle Per Salberger; 14. Abelian surfaces with odd bilevel structure G. K. Sankaran.
1. In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-Thélène, G. K. Sankaran, Miles Reid and Alexei Skorobogatov; 2. Peter Swinnerton-Dyer's mathematical papers to date; 3. On the Hasse principle for bielliptic surfaces Carmen Laura Basile and Alexei Skorobogatov; 4. Effective Diophantine approximation on Gm Enrico Bombieri and Paula B. Cohen; 5. A Diophantine system Andrew Bremner; 6. Valeurs d'un polynôme à une variable representées par une norme J.-L. Colliot-Thélène, D. Harari and A. N. Skorobogatov; 7. Constructing elements in Shafarevich-Tate groups of modular motives Neil Dummigan, William Stein and Mark Watkins; 8. A counterexample to a conjecture of Selmer Tom Fisher; 9. Linear relations amongst sums of two squares D. R. Heath-Brown; 10. Kronecker double series and the dilogarithm Andrey Levin; 11. On Shafarevich-Tate groups and the arithmetic of Fermat curves William G. McCallum and Pavlos Tzermias; 12. Cascades of projections from the log del Pezzo surfaces Miles Reid and Kaori Suzuki; 13. On obstructions to the Hasse principle Per Salberger; 14. Abelian surfaces with odd bilevel structure G. K. Sankaran.
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