The non-nef locus in positive characteristic

2011/09/18 by Mircea Mustaţă, Mircea Mustata, Mustata, Mircea · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14A10 (Primary) 13A35 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Fibroblast Growth Factor Research #Glycosylation and Glycoproteins Research #Hops Chemistry and Applications #math.AC #math.AG #msc:13A35 #msc:14A10

paper · pdf · doi:10.48550/arxiv.1109.3825

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

openalex publication_date 2011/09/18 · arxiv created 2012/04/30 · arxiv updated 2012/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an analogue in positive characteristic of the description of the non-nef locus from \citeELMNP. 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.

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