On $p$-adic differential equations on semistable varieties

Details On $p$-adic differential equations on semistable varieties On $p$-adic differential equations on semistable varieties

2010-03-21

arxiv.org/abs/1003.3994v2

Mathematics

Number Theory

Generalized main theorem to the case of arbitrary monodromy (with some non-Liouville conditions). Last section deleted

Scientific paper

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.

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