Differential modules on p-adic polyannuli
Number Theory
2008-12-16 v4 Algebraic Geometry
Abstract
We consider variational properties of some numerical invariants, measuring convergence of local horizontal sections, associated to differential modules on polyannuli over a nonarchimedean field of characteristic zero. This extends prior work in the one-dimensional case of Christol, Dwork, Robba, Young, et al. Our results do not require positive residue characteristic; thus besides their relevance to the study of Swan conductors for isocrystals, they are germane to the formal classification of flat meromorphic connections on complex manifolds.
Cite
@article{arxiv.0804.1495,
title = {Differential modules on p-adic polyannuli},
author = {Kiran S. Kedlaya and Liang Xiao},
journal= {arXiv preprint arXiv:0804.1495},
year = {2008}
}
Comments
47 pages; v4: Lemma 2.2.3 corrected