On logarithmic extension of overconvergent isocrystals

Details On logarithmic extension of overconvergent isocrystals On logarithmic extension of overconvergent isocrystals

2008-06-26

arxiv.org/abs/0806.4394v2

Mathematics

Number Theory

46 pages. Minor errors and typos corrected

Scientific paper

In this paper, we establish a criterion for an overconvergent isocrystal on a smooth variety over a field of characteristic $p>0$ to extend logarithmically to its smooth compactification whose complement is a strict normal crossing divisor. This is a generalization of a result of Kedlaya, who treated the case of unipotent monodromy. Our result is regarded as a $p$-adic analogue of the theory of canonical extension of regular singular integrable connections on smooth varieties of characteristic 0.

Affiliated with

Also associated with

No associations

Rating

On logarithmic extension of overconvergent isocrystals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On logarithmic extension of overconvergent isocrystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On logarithmic extension of overconvergent isocrystals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692011