Lower and upper bounds for nef cones
Lower and upper bounds for nef cones
复制标题
nef 锥体的下限和上限
DOI：
10.1093/imrn/rnr121
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
D. Maclagan
中科院分区：
文献类型：
--
作者：
A. Gibney;D. Maclagan
射影簇Y的nef锥是一个重要的且常常难以捉摸的不变量。本文利用Y在复曲面簇中的嵌入构造了Y的nef锥的两个多面体下界和一个多面体上界。下界推广了Mori dream空间的nef锥的组合描述，而上界则将模空间\bar{M}_{0，n}的nef锥的F-猜想推广到了更广泛的种类.
The nef cone of a projective variety Y is an important and often elusive invariant. In this paper we construct two polyhedral lower bounds and one polyhedral upper bound for the nef cone of Y using an embedding of Y into a toric variety. The lower bounds generalize the combinatorial description of the nef cone of a Mori dream space, while the upper bound generalizes the F-conjecture for the nef cone of the moduli space \bar{M}_{0,n} to a wide class of varieties.