On $p$-adic differential equations on semistable varieties
Number Theory
2012-11-06 v3 Algebraic Geometry
Abstract
In this paper we prove a comparison theorem between the category of certain modules with integrable connection on the complement of a normal crossing divisor of the generic fiber of a proper semistable variety over a DVR and the category of certain log overconvergent isocystrals on the special fiber of the same open.
Cite
@article{arxiv.1003.3994,
title = {On $p$-adic differential equations on semistable varieties},
author = {Valentina Di Proietto},
journal= {arXiv preprint arXiv:1003.3994},
year = {2012}
}
Comments
Generalized main theorem to the case of arbitrary monodromy (with some non-Liouville conditions). Last section deleted. Refereed version. To appear in Mathematische Zeitschrift