Number theory and algebraic geometry

 --- to Peter Swinnerton-Dyer on his 75th birthday

Edited by Miles Reid and Alexei Skorobogatov

Papers by Carmen Laura Basile, Enrico Bombieri, Andrew Bremner, Paula B. Cohen, Jean-Louis Colliot-Th\'el\`ene, Neil Dummigan, Tom Fisher, David Harari, Roger Heath-Brown, Andrey Levin, William McCallum, Miles Reid, Per Salberger, Gregory Sankaran, Alexei Skorobogatov, William Stein, Kaori Suzuki, Pavlos Tzermias and Mark Watkins

CUP 2003

Title page ps or pdf

Table of Contents

Preface by B. J. Birch, Jean-Louis Colliot-Th\'el\`ene, G. K. Sankaran, Miles Reid and Alexei Skorobogatov, 1--22
and Peter Swinnerton-Dyer's mathematical papers to date, 23--30  as ps or tex or pdf

1. Carmen Laura Basile and Alexei Skorobogatov,  On the Hasse principle for bielliptic surfaces, 31--40  as ps or tex or pdf

2. Enrico Bombieri and Paula B. Cohen,  An elementary approach to effective diophantine approximation on GG_m, 41--62  as ps or tex or pdf

3. Andrew Bremner,  A Diophantine system, 63--67  as ps or tex or pdf

4. Jean-Louis Colliot-Th\'el\`ene, David Harari and Alexei Skorobogatov, Valeurs d'un polyn\^ome \`a une variable repr\'esent\'ees par une norme, 69--89  as ps or tex or pdf

5. Neil Dummigan, William Stein and Mark Watkins,  Constructing elements in Shafarevich--Tate groups of modular motives, 91--118  as ps or tex or pdf

6. Tom Fisher,  A counterexample to a conjecture of Selmer, 119--131  as ps or tex or pdf

7. Roger Heath-Brown,  Linear relations amongst sums of two squares, 133--175  as ps or tex or pdf

8. Andrey Levin,  Kronecker double series and the dilogarithm, 177--201  as ps or tex or pdf

9. William McCallum and Pavlos Tzermias,  On Shafarevich--Tate groups of Fermat jacobians, 203--226  as ps or tex or pdf

10. Miles Reid and Kaori Suzuki,  Cascades of projections from log del Pezzo surfaces, 227--249  as ps or tex or pdf

11. Per Salberger,  On the obstructions to the Hasse principle, 251--277  as ps or tex or pdf

12. Gregory Sankaran,  Abelian surfaces with odd bilevel structure, 279--300  as ps or tex or pdf