The exactness of a general Skoda complex
Algebraic Geometry
2014-01-22 v2 Complex Variables
Abstract
We show that a Skoda complex with a general plurisubharmonic weight function is exact if its 'degree' is sufficiently large. This answers a question of Lazarsfeld and implies that not every integrally closed ideal is equal to a multiplier ideal even if we allow general plurisubharmonic weights for the multiplier ideal, extending the result of Lazarsfeld and Lee \cite{LL}.
Cite
@article{arxiv.1007.0551,
title = {The exactness of a general Skoda complex},
author = {Dano Kim},
journal= {arXiv preprint arXiv:1007.0551},
year = {2014}
}
Comments
References added, exposition streamlined, to appear in Michigan Mathematical Journal