$p$-adic Hurwitz numbers
Algebraic Geometry
2008-06-05 v2
Abstract
We introduce stable tropical curves and use these to count covers of the -adic projective line of fixed degree and ramification types by Mumford curves in terms of tropical Hurwitz numbers. Our counts depend on the branch loci of the covers.
Keywords
Cite
@article{arxiv.0806.0836,
title = {$p$-adic Hurwitz numbers},
author = {Patrick Erik Bradley},
journal= {arXiv preprint arXiv:0806.0836},
year = {2008}
}
Comments
14 pages