Arithmetic and Geometry

Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic
Erscheinungsjahr 1983
ISBN: 978-0-8176-3132-1
Verlag: Birkhäuser Boston

Buch, Englisch, Band 35, 365 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Progress in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Tate, John

Artin, Michael

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

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.