Prym varieties of triple coverings

Details Prym varieties of triple coverings Prym varieties of triple coverings

2009-11-27

arxiv.org/abs/0911.5224v2

Mathematics

Algebraic Geometry

21 pages; minor changes in the last section; to appear in International Mathematics Research Notices

Scientific paper

10.1093/imrn/rnq287

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.

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