p-adic abelian integrals and commutative Lie groups
Yu. G. Zarhin
Abstract
The aim of this paper is to propose an ``elementary" approach to Coleman's theory of p-adic abelian integrals. Our main tool is a theory of commutative p-adic Lie groups (the logarithm map); we use neither dagger analysis nor Monsky-Washnitzer cohomology theory. Notice that we also treat the case of bad reduction. A preliminary version of this paper appeared as Exposé 9 dans ``Problemes Diophantiens 88-89" (D. Bertrand, M. Waldschmidt), Publ. Math. Univ. Paris VI 90(1990), 15 pp.
Create a lesson
Related papers
Complements on surfaces
V. V. Shokurov
Isolated rational curves on K3-fibered Calabi-Yau threefolds
Torsten Ekedahl, Trygve Johnsen, Dag Einar Sommervoll
Cohomology of complete intersections in toric varieties
Anvar R. Mavlyutov
The Gross-Kohnen-Zagier theorem in higher dimensions
Richard E. Borcherds
Real deformations and complex topology of plane curve singularities
Norbert A'Campo
Irreducibility of the moduli space of vector bundles on surfaces and Brill-Noether theory on singular curves
Tomas L. Gomez