On the birational geometry of moduli spaces of pointed curves

被引：10

作者：

Ballico, Edoardo ^{[1
]}

Casnati, Gianfranco ^{[2
]}

Fontanari, Claudio ^{[2
]}

机构：

[1] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

FORUM MATHEMATICUM | 2009年 / 21卷 / 05期

关键词：

MAXIMAL RANK CONJECTURE; RATIONALITY; UNIRATIONALITY;

D O I：

10.1515/FORUM.2009.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the moduli space M(g,n) of smooth curves of genus g with n marked points is rational for g = 6 and 1 <= n <= 8, and it is unirational for g = 8 and 1 <= n <= 11, g = 10 and 1 <= n <= 3, g = 12 and n = 1.

引用

页码：935 / 950

页数：16

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