P-Adic Methods in Number Theory and Algebraic Geometry.

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

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.