The Augmented Base Locus in Positive Characteristic

The Augmented Base Locus in Positive Characteristic

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 t...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2014-02, Vol.57 (1), p.79-87
Hauptverfasser: Cascini, Paolo, McKernan, James, Mustaţǎ, Mircea
Format: Artikel
Sprache:eng
Schlagworte:
Bundling
Mathematical analysis
Theorems
Unions
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Zusammenfassung: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091513000916