THE MODULI SPACE OF ETALE DOUBLE COVERS OF GENUS 5 CURVES IS UNIRATIONAL

被引：10

作者：

Izadi, Elham ^{[1
]}

Lo Giudice, Marco ^{[2
]}

Sankaran, Gregory Kumar ^{[2
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2009年 / 239卷 / 01期

关键词：

Prym variety; moduli; canonical curve; PRYM VARIETIES; RATIONALITY;

D O I：

10.2140/pjm.2009.239.39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the coarse moduli space R-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.

引用

页码：39 / 52

页数：14

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