A note of characteristic class for singular varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929525632270336 |
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| author | Ferreira, Antonio M. Lourenco, Fernando |
| author_facet | Ferreira, Antonio M. Lourenco, Fernando |
| contents | In this work we study characteristic classes of possibly singular varieties embedded as a closed subvariety of a nonsingular variety. In special, we express the Schwartz-MacPherson class in terms of the $μ$-class and Chern class of the sheaves of logarithmic and multi-logarithmic differential forms. As an application we show an expression for Euler characteristic of a complement of a singular variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note of characteristic class for singular varieties Ferreira, Antonio M. Lourenco, Fernando Algebraic Geometry Algebraic Topology Complex Variables In this work we study characteristic classes of possibly singular varieties embedded as a closed subvariety of a nonsingular variety. In special, we express the Schwartz-MacPherson class in terms of the $μ$-class and Chern class of the sheaves of logarithmic and multi-logarithmic differential forms. As an application we show an expression for Euler characteristic of a complement of a singular variety. |
| title | A note of characteristic class for singular varieties |
| topic | Algebraic Geometry Algebraic Topology Complex Variables |
| url | https://arxiv.org/abs/2410.02500 |