**Contemporary Mathematics**

Volume: 133;
1992;
241 pp;
Softcover

MSC: Primary 11; 14;

Print ISBN: 978-0-8218-5145-6

Product Code: CONM/133

List Price: $50.00

Individual Member Price: $40.00

**Electronic ISBN: 978-0-8218-7724-1
Product Code: CONM/133.E**

List Price: $50.00

Individual Member Price: $40.00

# $p$-Adic Methods in Number Theory and Algebraic Geometry

Share this page *Edited by *
*Alan C. Adolphson; Steven Sperber; Marvin D. Tretkoff*

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.

#### Table of Contents

# Table of Contents

## $p$-Adic Methods in Number Theory and Algebraic Geometry

- Contents v6 free
- Preface vii8 free
- On Christol's Theorem. A Generalization to Systems of PDE's with Logarithmic Singularities Depending upon Parameters 110 free
- On Andre's Transfer Theorem 2534
- Differential Modules of Bounded Spectral Norm 3948
- The p-Adic Monodromy of a Generic Abelian Scheme in Characteristic p 5968
- Factorization of Drinfeld Singular Moduli 7584
- Distinctness of Kloosterman Sums 8190
- Intersection Formulas for Mumford Curves 103112
- L-series of Grössencharakters of type Ao for Function Fields 119128
- A p-Adic Cohomological Method for the Weierstrass Family and its Zeta Invariants 141150
- Two-Dimensional Systems of Galois Representations 163172
- Algebraic Identities Useful m the Computation of Igusa Local Zeta Functions 171180
- Points of Finite Order on Abelian Varieties 175184
- The Arithmetic and Geometry of Elliptic Surfaces 195204
- Torsion-Points on Low Dimensional Abelian Varieties with Complex Multiplication 205214
- Prime-Like Subsets of a Commutative Ring 211220
- Newton Polygons and Congruence Decompositions of L-functions over Finite Fields 221230

#### Readership

Researchers and advanced graduate students working in number theory and algebraic geometry.