Discontinuous groups in positive characteristic and automorphisms of Mumford curves

Details Discontinuous groups in positive characteristic and automorphisms of Mumford curves Discontinuous groups in positive characteristic and automorphisms of Mumford curves

1999-08-31

arxiv.org/abs/math/9908173v1

Mathematics

Algebraic Geometry

26 pages, LaTeX, uses `a4'

Scientific paper

A Mumford curve of genus g (>1) over a non-archimedean valued field k of positive characteristic has at most max{12(g-1), 2 g^(1/2) (g^(1/2)+1)^2} automorphisms. This bound is sharp in the sense that there exist Mumford curves of arbitrary high genus that attain it (they are fibre products of suitable Artin-Schreier curves). The proof provides (via its action on the Bruhat-Tits tree) a classification of discontinuous subgroups of PGL(2,k) that are normalizers of Schottky groups of Mumford curves with more than 12(g-1) automorphisms. As an application, it is shown that all automorphisms of the moduli space of rank-2 Drinfeld modules with principal level structure preserve the cusps.

Affiliated with

Also associated with

No associations

Rating

Discontinuous groups in positive characteristic and automorphisms of 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 Discontinuous groups in positive characteristic and automorphisms of Mumford curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discontinuous groups in positive characteristic and automorphisms of Mumford curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499433