The Augmented Base Locus in Positive Characteristic
The Augmented Base Locus in Positive Characteristic
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DOI：
10.1017/s0013091513000916
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发表时间：
2011-11
影响因子：
0.7
通讯作者：
P. Cascini;J. McKernan;M. Mustaţă
中科院分区：
文献类型：
--
作者：
P. Cascini;J. McKernan;M. Mustaţă
设L是正特征射影概型X上的一个Nef线丛。证明了L的增广基轨迹等于X的不可约闭子集V的并，使得L <$V不大。对于特征为0的光滑簇，Nakamaye使用消失定理证明了这一点。
Abstract Let L be a nef line bundle on a projective scheme X in positive characteristic. We prove that the augmented base locus of L is equal to the union of the irreducible closed subsets V of X such that L∣V is not big. For a smooth variety in characteristic 0, this was proved by Nakamaye using vanishing theorems.