Number Theory and Algebraic Geometry

Table of Contents

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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