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

2008/02/06 by Izadi, E., Giudice, M. Lo, Sankaran, G. K. · 1 citation
#14H15 #14H40 #14K10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0802.0853

Abstract

We show that the coarse moduli space \cR₅ 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.

Cited by

• Automorphism groups and linearizability of rational Fano conic bundle threefolds

Related

• A note on the unirationality of a moduli space of double covers
• The unirationality of the moduli space of curves of genus ≤ 14
• On the unirationality of moduli spaces of pointed curves
• An affine open covering of M_g for g ≤ 5
• The unirationality of the moduli spaces of curves of genus 14 or lower