Slope filtrations in families

Details Slope filtrations in families Slope filtrations in families

2008-09-01

arxiv.org/abs/0809.0331v3

Mathematics

Algebraic Geometry

Final version

Scientific paper

This paper concerns arithmetic families of $\varphi$-modules over reduced affinoid spaces. For such a family, we first prove that the slope polygons is lower semicontinuous around any rigid point. If the slope polygons are locally constant around a rigid point, we further prove that around this point, the family has a global slope filtration after base change to some extended Robba ring.

Affiliated with

Also associated with

No associations

Rating

Slope filtrations in families 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 Slope filtrations in families, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slope filtrations in families will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60559