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arXiv:1111.3236 [math.AG]AbstractReferencesReviewsResources

The augmented base locus in positive characteristic

Paolo Cascini, James McKernan, Mircea Mustata

Published 2011-11-14, updated 2012-01-19Version 2

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 the restriction of L to V is not big. For a smooth variety in characteristic zero, this was proved by Nakamaye using vanishing theorems.

Comments: 9 pages; v.2: minor corrections, to appear in Proceedings of the Edinburgh Mathematical Society, volume dedicated to V.V. Shokurov
Categories: math.AG
Subjects: 14A15, 14E99
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