The non-nef locus in positive characteristic

Abstract

We give an analogue in positive characteristic of the description of the non-nef locus from \cite{ELMNP}. In this case, the role of the asymptotic multiplier ideals is played by the asymptotic test ideals. The key ingredient is provided by a uniform global generation statement involving twists by such ideals.

19 pages; v.2: minor revision, to appear in the volume dedicated to Joe Harris on the occasion of his 60th birthday

References in corpus (1)

• A survey of test ideals

Cited by in corpus (12)

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• The gamma construction and asymptotic invariants of line bundles over arbitrary fields
• Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods
• On the numerical dimension of pseudo-effective divisors in positive characteristic
• Curves of maximal moduli on K3 surfaces
• Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic
• Log canonical pairs with boundaries containing ample divisors
• $F$-singularities: applications of characteristic $p$ methods to singularity theory
• Discreteness of $F$-jumping numbers at isolated non-Q-Gorenstein points