The moduli space of étale double covers of genus 5 curves is unirational

Details The moduli space of étale double covers of genus 5 curves is unirational The moduli space of étale double covers of genus 5 curves is unirational

2008-02-06

arxiv.org/abs/0802.0853v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

We show that the coarse moduli space $\cR_5$ of \'etale double covers of
curves of genus~5 over the complex numbers is unirational. We give two slightly
different arguments, one purely geometric and the other more computational.

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