Valuative multiplier ideals

Zhengyu Hu

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arXiv · 1406.1060

Valuative multiplier ideals

Zhengyu Hu

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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.

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BibTeX RIS

Zhengyu Hu. 2014-06-04. Valuative multiplier ideals. https://arxiv.org/abs/1406.1060

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