The moduli space of \'etale double covers of genus 5 curves is unirational
classification
🧮 math.AG
keywords
coverscurvesdoubleetalegenusmodulispaceunirational
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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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