English

The non-nef locus in positive characteristic

Algebraic Geometry 2012-05-01 v2 Commutative Algebra

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.

Cite

@article{arxiv.1109.3825,
  title  = {The non-nef locus in positive characteristic},
  author = {Mircea Mustata},
  journal= {arXiv preprint arXiv:1109.3825},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T19:06:31.189Z