A descent map for curves with totally degenerate semi-stable reduction

Details A descent map for curves with totally degenerate semi-stable reduction A descent map for curves with totally degenerate semi-stable reduction

2012-02-13

arxiv.org/abs/1202.2891v1

Mathematics

Algebraic Geometry

35 pages

Scientific paper

Let $K$ be a local field of residue characteristic $p$. Let $C$ be a curve over $K$ whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to-$p$ rational torsion subgroup on the Jacobian of $C$. We also determine divisibility of line bundles on $C$, including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of $C$.

Affiliated with

Also associated with

No associations

Rating

A descent map for curves with totally degenerate semi-stable 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 A descent map for curves with totally degenerate semi-stable reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A descent map for curves with totally degenerate semi-stable reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88399