Families and moduli of covers with specified ramification
Algebraic Geometry
2013-12-30 v1
Abstract
We study branched covers of curves with specified ramification points, under a notion of equivalence derived from linear series. In characteristic 0, no non-constant families of covers with fixed ramification points exist. In positive characteristic we formulate a necessary and sufficient condition for the existence of such a family. We unconditionally prove one direction of this conjecture, and by studying infinitesimal deformations show the other direction in characteristic 2 and 3.
Keywords
Cite
@article{arxiv.1312.7144,
title = {Families and moduli of covers with specified ramification},
author = {Ryan Eberhart},
journal= {arXiv preprint arXiv:1312.7144},
year = {2013}
}
Comments
10 pages