Resolution of non-singularities for Mumford curves

Details Resolution of non-singularities for Mumford curves Resolution of non-singularities for Mumford curves

2011-11-22

arxiv.org/abs/1111.5342v1

Mathematics

Algebraic Geometry

Scientific paper

Given a Mumford curve $X$ over $\bar{\mathbb Q_p}$, we show that for every semistable model $\mathcal X$ of $X$ and every closed point $x$ of this semistable model, there exists a finite \'etale cover $Y$ of $X$ such that every semistable model of $Y$ has a vertical component above $X$. We then give applications of this to the tempered fundamental group. In particular, we prove that two punctured Tate curves $\bar{\mathbb Q_p}$ with isomorphic tempered fundamental groups are isomorphic over $\mathbb Q_p$.

Affiliated with

Also associated with

No associations

Rating

Resolution of non-singularities for Mumford curves 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 Resolution of non-singularities for Mumford curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resolution of non-singularities for Mumford curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376240