The non-nef locus in positive characteristic

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

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.

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