The augmented base locus in positive characteristic

Details The augmented base locus in positive characteristic The augmented base locus in positive characteristic

2011-11-14

arxiv.org/abs/1111.3236v2

Mathematics

Algebraic Geometry

9 pages; v.2: minor corrections, to appear in Proceedings of the Edinburgh Mathematical Society, volume dedicated to V.V. Shok

Scientific paper

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.

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