Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach

Details Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach

2005-08-11

arxiv.org/abs/math/0508191v3

Mathematics

Number Theory

20 pages; v3: refereed version; corrections to 4.2.1, 4.3.1; some results extended to the partially overconvergent case (repla

Scientific paper

We introduce a valuation-theoretic approach to the problem of semistable
reduction (i.e., existence of logarithmic extensions on suitable covers) of
overconvergent isocrystals with Frobenius structure. The key tool is the
quasicompactness of the Riemann-Zariski space associated to the function field
of a variety.

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