Duality of the cones of divisors and curves
Duality of the cones of divisors and curves
复制标题
除数锥体和曲线的对偶性
DOI：
10.4310/mrl.2012.v19.n2.a12
复制
发表时间：
2012
影响因子：
1
通讯作者：
S. Choi
中科院分区：
文献类型：
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作者：
S. Choi
S. Payne 询问对于维度 d 的变体 X，由维度 k (1 ≤ k ≤ d) 中充足的除数所跨越的闭锥体和由可在余维 d− k 中移动的 X 的一些 Q 阶乘小修改上的曲线类所跨越的闭锥体是否彼此对偶。我们证明这对于 Fano 型品种和 Mori 梦想空间来说是正确的。
S. Payne asked whether for a variety X of dimension d, the closed cone spanned by the divisors ample in dimension k (1 ≤ k ≤ d) and the closed cone spanned by the classes of curves on some Q-factorial small modifications of X movable in codimension d− k are dual to each other. We prove that this is true for Fano type varieties and Mori dream spaces.