The non-nef locus in positive characteristic
arXiv:1109.3825
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