Prym varieties of triple coverings
Algebraic Geometry
2011-03-28 v2
Abstract
We show that the Prym variety associated to a triple covering f: Y --> X of curves is principally polarized of dimension > 1, if and only if f is non-cyclic, etale and X is of genus 2. We investigate some properties of these Prym varieties and their moduli.
Keywords
Cite
@article{arxiv.0911.5224,
title = {Prym varieties of triple coverings},
author = {Herbert Lange and Angela Ortega},
journal= {arXiv preprint arXiv:0911.5224},
year = {2011}
}
Comments
21 pages; minor changes in the last section; to appear in International Mathematics Research Notices