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
收藏
页码：935 / 950
页数：16
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