A characterization of nef and good divisors by asymptotic multiplier ideals
Algebraic Geometry
2010-09-21 v1
Abstract
A characterization of nef and good divisors is given: a divisor D on a smooth complex projective variety is nef and good if and only if the asymptotic multiplier ideals of sufficiently high multiples of e(D) D$ are trivial, where e(D) denotes the exponent of the divisor D. Some results of the same kind are proved in the analytic setting.
Keywords
Cite
@article{arxiv.0710.0989,
title = {A characterization of nef and good divisors by asymptotic multiplier ideals},
author = {Francesco Russo},
journal= {arXiv preprint arXiv:0710.0989},
year = {2010}
}
Comments
8 pages; accepted for publication in the Proceedings of the Ghent Conference "Linear Systems and Subschemes" to be published in the Bulletin Belgian Math. Soc.--Simon Stevin