p-Adic Methods in Number Theory and Algebraic Geometry

Erscheinungsjahr 1992
ISBN: 978-0-8218-5145-6
Verlag: American Mathematical Society

Buch, Englisch, Gewicht: 454 g

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&R-adic methods.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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 padic 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 Grossencharakters of type A0 for function fields; G. Kato: A p-adic cohomological method for the Weierstrass family and its zeta invariants; M. Larsen: Two-dimensional 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. Van Mulbregt: Torsion-points on low dimensional Abelian varieties with complex multiplication; M. A. Vitulli: Prime-like subsets of a commutative ring; D. Wan: Newton polygons and congruence decompositions of L-functions over finite fields.

Two meetings of the AMS in the fall of 1989 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&R-adic methods.