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arXiv · 2410.01634

Generalised Lelong-Poincar\'e formula in complex Bott-Chern cohomology

Xiaojun Wu
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Abstract

In this note, we present a topological proof of the generalized Lelong-Poincar\'e formula. More precisely, when the zero locus of a section has a pure codimension equal to the rank of a holomorphic vector bundle, the top Chern class of the vector bundle corresponds to the cycle class of the schematic zero locus of the section in complex Bott-Chern cohomology.

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Xiaojun Wu. 2024-10-02. Generalised Lelong-Poincar\'e formula in complex Bott-Chern cohomology. https://arxiv.org/abs/2410.01634

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