摘要翻译:
我们证明了复数上亏格~5曲线的二重覆盖的粗模空间$\cr_5$是单分的。我们给出了两个略有不同的论点,一个纯粹几何,另一个更多的计算。
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英文标题:
《The moduli space of \'etale double covers of genus 5 curves is
unirational》
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作者:
E. Izadi, M. Lo Giudice and G.K. Sankaran
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/0802.0853