Mobile Product and Zariski decomposition

We explain the relationship between \(\alpha_{1}...\alpha_{q}\) (standard cohomology product) and \((\alpha_{1}...\alpha_{q})\) (mobile intersection product) of pseudo-effective classes \(\alpha_{1},...,\alpha_{q}\) on a compact K\(\ddot{a}\)hler manifold. We also show how to use this relationship f...

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Bibliographic Details
Published in:arXiv.org 2013-02
Main Author: Principato, Mario
Format: Article
Language:English
Subjects:
Homology
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Summary:We explain the relationship between \(\alpha_{1}...\alpha_{q}\) (standard cohomology product) and \((\alpha_{1}...\alpha_{q})\) (mobile intersection product) of pseudo-effective classes \(\alpha_{1},...,\alpha_{q}\) on a compact K\(\ddot{a}\)hler manifold. We also show how to use this relationship for proving some holomorphic Morse inequalities. Then we prove a result concerning the direct image of Lelong numbers under a modification in dimension 3, deriving a continuity property for the Lelong numbers of the wedge of \((1,1)-\)currents.
ISSN:2331-8422