Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties
Algebraic Geometry
2015-10-09 v2
Abstract
We show that the reduction to positive characteristic of the multiplier ideal in the sense of de Fernex and Hacon agrees with the test ideal for infinitely many primes, assuming that the variety is numerically Q-Gorenstein. It follows, in particular, that this reduction property holds in dimension 2 for all normal surfaces.
Keywords
Cite
@article{arxiv.1401.7946,
title = {Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties},
author = {Tommaso de Fernex and Roi Docampo and Shunsuke Takagi and Kevin Tucker},
journal= {arXiv preprint arXiv:1401.7946},
year = {2015}
}
Comments
11 pages; v2: minor changes, to appear in Bull. London Math. Soc