Arithmetic and Geometry
Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic
Published on 1. January 1983
Book
Paperback/Softback
IX, 365 pages
978-0-8176-3132-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
IX, 365 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
569 gr
ISBN-13
978-0-8176-3132-1 (9780817631321)
DOI
10.1007/978-1-4757-9284-3
Schweitzer Classification
Content
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.