Generalised Lelong-Poincar\'e formula in complex Bott-Chern cohomology
| Autor: | Wu, Xiaojun |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 11 pages |
| Databáze: | arXiv |
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