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Mathematical Sciences Publishers (MSP), Pacific Journal of Mathematics, 1(239), p. 39-52

DOI: 10.2140/pjm.2009.239.39

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

This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We show that the coarse moduli space $\cR_5$ of étale 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.