Number theory and algebraic geometry to Peter Swinnerton-Dyer on his 75th birthday (Cambridge University Press, 2003)
Includes bibliographical references
1. In lieu of birthday greetings J. B. Birch, Jean-Louis Colliot-The;lène, 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 represente;es par une norme J.-L. Colliot-The;lène, 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