Double Total Ramifications for Curves of Genus 2

被引：8

作者：

Tarasca, Nicola ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 19期

关键词：

KODAIRA DIMENSION; MODULI SPACE; LOCI;

D O I：

10.1093/imrn/rnu228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inside the moduli space of curves of genus 2 with two marked points, we consider the loci of curves admitting a map to P1 of degree d totally ramified over the two marked points, for d= 2. Such loci have codimension two. We compute the class of their closures in the moduli space of stable curves. Several results will be deduced from this computation.

引用

页码：9569 / 9593

页数：25

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