Lame curves with bad reduction

Details Lame curves with bad reduction Lame curves with bad reduction

2006-11-14

arxiv.org/abs/math/0611429v2

Mathematics

Algebraic Geometry

Two minor mistakes in the proof of Theorem 5.1 have been corrected from the earlier version; the result remains inchanged

Scientific paper

Lame curves are a particular class of elliptic curves (with a torsion point attached to them) which naturally arise when studying Lame operators with finite monodromy. They can be realized as covers of the projective line unramified outside three points and can be defined over number fields. This paper investigates their p-adic properties. The main ingredient is formal/rigid geometry and in particular the use of p-adic theta functions. As a consequence, we can completely enumerate Lam\'e curves with bad reduction (by giving, among the others, the p-adic valuation of their j-invariant) and describe the (local) Galois action.

Affiliated with

Also associated with

No associations

Rating

Lame curves with bad reduction 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 Lame curves with bad reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lame curves with bad reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488092