Volume I Arithmetic.- Generators of the N n-Severi Group of a Fermat Surface.- p-adic Etale Cohomology.- The Mordell-Weil Group of Curves of Genus 2.- Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions.- Infinite Descent on Elliptic Curves with Complex Multiplication.- On the Ubiquity of Pathology in Products.- Conjectured Diophantine Estimates on Elliptic Curves.- Zeta-Functions of Varieties over Finite Fields at s =1.- Canonical Height Pairings via Biextensions.- The Action of an Automorphism of C on a Shimura Variety and its Special Points.- The Torelli Theorem for Ordinary K3 Surfaces over Finite Fields.- Real Points on Shimura Curves.- Special Automorphic Forms on PGSp4.- Courbes sur une vari ab enne et points de torsion.- Euler and the Jacobians of Elliptic Curves.
Inhaltsverzeichnis
Volume I Arithmetic. - Generators of the Néron-Severi Group of a Fermat Surface. - p-adic Etale Cohomology. - The Mordell-Weil Group of Curves of Genus 2. - Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions. - Infinite Descent on Elliptic Curves with Complex Multiplication. - On the Ubiquity of Pathology in Products. - Conjectured Diophantine Estimates on Elliptic Curves. - Zeta-Functions of Varieties over Finite Fields at s =1. - Canonical Height Pairings via Biextensions. - The Action of an Automorphism of C on a Shimura Variety and its Special Points. - The Torelli Theorem for Ordinary K3 Surfaces over Finite Fields. - Real Points on Shimura Curves. - Special Automorphic Forms on PGSp4. - Courbes sur une variété abélienne et points de torsion. - Euler and the Jacobians of Elliptic Curves.
