Valuative multiplier ideals
Algebraic Geometry
2014-06-05 v1
Abstract
The main goal of this paper is to construct an algebraic analogue of quasi-plurisubharmonic function (qpsh for short) from complex analysis and geometry. We define a notion of qpsh function on a valuation space associated to a quite general scheme. We then define the multiplier ideals of these functions and prove some basic results about them, such as subadditivity property, the approximation theorem. We also treat some applications in complex algebraic geometry.
Cite
@article{arxiv.1406.1060,
title = {Valuative multiplier ideals},
author = {Zhengyu Hu},
journal= {arXiv preprint arXiv:1406.1060},
year = {2014}
}
Comments
30 pages, accepted to appear in the Pacific Journal of Mathematics