The mori cones of moduli spaces of pointed curves of small genus
The mori cones of moduli spaces of pointed curves of small genus
复制标题
小亏格尖曲线模空间的森锥
DOI：
10.1090/s0002-9947-02-03165-3
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发表时间：
2001
影响因子：
1.3
通讯作者：
A. Gibney
中科院分区：
文献类型：
--
作者：
G. Farkas;A. Gibney
当g和n相对较小时，我们计算了亏格g的n条稳定点曲线的模空间Mg，n的Mori锥.例如，我们证明了对于g <14，Mg中的每条曲线都等价于具有3g-4个节点的曲线的轨迹的分量的有效组合。我们完整地描述了空间M0，6的nef因子锥，从而验证了富尔顿猜想。利用这种描述，我们得到了所有的纤维化的M 0，6的分类。
We compute the Mori cones of the moduli spaces M g,n of n pointed stable curves of genus g, when g and n are relatively small. For instance we show that for g < 14 every curve in Mg is equivalent to an effective combination of the components of the locus of curves with 3g - 4 nodes. We completely describe the cone of nef divisors for the space M 0,6 , thus verifying Fulton's conjecture for this space. Using this description we obtain a classification of all the fibrations of M 0,6 .