p-adic abelian integrals and commutative Lie groups
alg-geom
2008-02-03 v4 Algebraic Geometry
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 Expos\'e 9 dans ``Problemes Diophantiens 88-89" (D. Bertrand, M. Waldschmidt), Publ. Math. Univ. Paris VI 90(1990), 15 pp.
Cite
@article{arxiv.alg-geom/9603006,
title = {p-adic abelian integrals and commutative Lie groups},
author = {Yu. G. Zarhin},
journal= {arXiv preprint arXiv:alg-geom/9603006},
year = {2008}
}
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