Contemporary Mathematics 1992; 241 pp; softcover Volume: 133 ISBN10: 0821851454 ISBN13: 9780821851456 List Price: US$50 Member Price: US$40 Order Code: CONM/133
 Two meetings of the AMS in the fall of 1989one at the Stevens Institute of Technology and the other at Ball State Universityincluded 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. Readership Researchers and advanced graduate students working in number theory and algebraic geometry. Table of Contents  F. Baldassarri and B. Chiarellotto  On Christol's theorem. A generalization to systems of PDE's with logarithmic singularities depending upon parameters
 F. Baldassarri and B. Chiarellotto  On Andre's transfer theorem
 G. Christol and B. Dwork  Differential modules of bounded spectral norm
 R. Crew  The \(p\)adic monodromy of a generic Abelian scheme in characteristic \(p\)
 D. R. Dorman  Factorization of Drinfeld singular moduli
 B. Fisher  Distinctness of Kloosterman sums
 R. M. Freije  Intersection formulas for Mumford curves
 D. Goss  \(L\)series of Grössencharakters of type \(A_0\) for function fields
 G. Kato  A \(p\)adic cohomological method for the Weierstrass family and its zeta invariants
 M. Larsen  Twodimensional systems of Galois representations
 M. M. Robinson  Algebraic identities useful in the computation of Igusa local zeta functions
 A. Silverberg  Points of finite order on Abelian varieties
 P. F. Stiller  The arithmetic and geometry of elliptic surfaces
 P. V. Mulbregt  Torsionpoints on low dimensional Abelian varieties with complex multiplication
 M. A. Vitulli  Primelike subsets of a commutative ring
 D. Wan  Newton polygons and congruence decompositions of \(L\)functions over finite fields
