The augmented base locus in positive characteristic

Paolo Cascini; James McKernan; Mircea Mustata

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arXiv · 1111.3236

The augmented base locus in positive characteristic

Paolo Cascini·James McKernan·Mircea Mustata

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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 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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Paolo Cascini, James McKernan, Mircea Mustata. 2011-11-14. The augmented base locus in positive characteristic. https://arxiv.org/abs/1111.3236

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