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The moduli space of
étale double covers of genus 5 curves is unirational
Elham Izadi, Marco Lo Giudice and Gregory Kumar Sankaran |
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Vol. 239 (2009), No. 1, 39–52
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Abstract |
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We show that the coarse moduli space ℛ5 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. |
Keywords
Prym variety, moduli, canonical curve
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Mathematical Subject Classification 2000
Primary: 14H40
Secondary: 14Q05
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Milestones
Received: 18 March 2008
Accepted: 11 September 2008
Published: 1 January 2009
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Authors |
| Elham Izadi | |
| Department of Mathematics University of Georgia Athens GA 30602-7403 United States |
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| http://www.math.uga.edu/~izadi/ | |
| Marco Lo Giudice | |
| Department of Mathematical
Sciences University of Bath Bath BA2 7AY United Kingdom |
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| Gregory Kumar Sankaran | |
| Department of Mathematical
Sciences University of Bath Bath BA2 7AY United Kingdom |
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| http://people.bath.ac.uk/masgks | |
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