The moduli space of genus four even spin curves is rational

被引：4

作者：

Takagi, Hiromichi ^{[1
]}

Zucconi, Francesco ^{[2
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

来源：

ADVANCES IN MATHEMATICS | 2012年 / 231卷 / 05期

关键词：

Theta characteristic; Even spin curve; Mori theory; Del Pezzo threefold; THREEFOLDS; VARIETIES; LINES; CONSTRUCTION; BUNDLES;

D O I：

10.1016/j.aim.2012.07.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Mori theory for threefolds, we prove that the moduli space of pairs of smooth curves of genus four and theta characteristics without global sections is a rational variety. Crown Copyright (c) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：2413 / 2449

页数：37

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