Title | Arithmetic and Geometry [electronic resource] : Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic / edited by Michael Artin, John Tate |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1983 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-9284-3 |
Descript | IX, 365 p. 1 illus. online resource |
Volume I Arithmetic -- Generators of the Nรฉron-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 variรฉtรฉ abรฉlienne et points de torsion -- Euler and the Jacobians of Elliptic Curves