Hodge-Lyubeznik numbers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916804210720768 |
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| author | Lopez, Ricardo Garcia Sabbah, Claude |
| author_facet | Lopez, Ricardo Garcia Sabbah, Claude |
| contents | We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity, they can be expressed in terms of the Hodge numbers of the cohomology of the link of the singularity. We give examples of isolated singularities with the same Lyubeznik numbers but different Hodge-Lyubeznik numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10010 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hodge-Lyubeznik numbers Lopez, Ricardo Garcia Sabbah, Claude Algebraic Geometry 14B15, 13D45, 32S35 We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity, they can be expressed in terms of the Hodge numbers of the cohomology of the link of the singularity. We give examples of isolated singularities with the same Lyubeznik numbers but different Hodge-Lyubeznik numbers. |
| title | Hodge-Lyubeznik numbers |
| topic | Algebraic Geometry 14B15, 13D45, 32S35 |
| url | https://arxiv.org/abs/2407.10010 |