p-Adic Methods in Number Theory and Algebraic Geometry

p-Adic Methods in Number Theory and Algebraic Geometry

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Description

Two meetings of the AMS in the fall of 1989 - one at the Stevens Institute of Technology and the other at Ball State University - included Special Sessions on the role of $p$-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in $p$-adic methods.
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Product details

  • Paperback | 241 pages
  • 184.15 x 260.35 x 12.7mm | 453.59g
  • Providence, United States
  • English
  • 0821851454
  • 9780821851456

Table of contents

On Christol's theorem A generalization to systems of PDE's with logarithmic singularities depending upon parameters by F. Baldassarri and B. Chiarellotto On Andre's transfer theorem by F. Baldassarri and B. Chiarellotto Differential modules of bounded spectral norm by G. Christol and B. Dwork The $p$-adic monodromy of a generic Abelian scheme in characteristic $p$ by R. Crew Factorization of Drinfeld singular moduli by D. R. Dorman Distinctness of Kloosterman sums by B. Fisher Intersection formulas for Mumford curves by R. M. Freije $L$-series of Grossencharakters of type $A_0$ for function fields by D. Goss A $p$-adic cohomological method for the Weierstrass family and its zeta invariants by G. Kato Two-dimensional systems of Galois representations by M. Larsen Algebraic identities useful in the computation of Igusa local zeta functions by M. M. Robinson Points of finite order on Abelian varieties by A. Silverberg The arithmetic and geometry of elliptic surfaces by P. F. Stiller Torsion-points on low dimensional Abelian varieties with complex multiplication by P. V. Mulbregt Prime-like subsets of a commutative ring by M. A. Vitulli Newton polygons and congruence decompositions of $L$-functions over finite fields by D. Wan.
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