On the Rationality of the Moduli of Higher Spin Curves in Low Genus

被引：1

作者：

Pernigotti, Letizia ^{[1
]}

Verra, Alessandro ^{[2
]}

机构：

[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Trento, Italy

[2] Univ Rome Tre, Dipartimento Matemat, I-00146 Rome, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 13期

关键词：

SPACE;

D O I：

10.1093/imrn/rnv264

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The global geometry of the moduli spaces of higher spin curves and their birational classification is largely unknown for g >= 2 and r > 2. Using quite related geometric constructions, we almost complete the picture of the known results in genus g <= 4 showing the rationality of the moduli spaces of even and odd 4-spin curves of genus 3, of odd spin curves of genus 4, and of 3-spin curves of genus 4.

引用

页码：3856 / 3879

页数：24

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