Hodge adjacency conditions for singularities
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909816016863232 |
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| author | Acuna, RJ Kerr, Matt |
| author_facet | Acuna, RJ Kerr, Matt |
| contents | We prove compatibility relations between mixed Hodge numbers of $k$-Du Bois fibers in flat projective families and versal deformations of isolated $k$-Du Bois singularities. These extend the notion of polarized relations in asymptotic Hodge theory beyond the normal-crossing boundary case, and we study combinatorial properties of the resulting weak polarized relations graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09122 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hodge adjacency conditions for singularities Acuna, RJ Kerr, Matt Algebraic Geometry 14D06, 14D07, 32S30 We prove compatibility relations between mixed Hodge numbers of $k$-Du Bois fibers in flat projective families and versal deformations of isolated $k$-Du Bois singularities. These extend the notion of polarized relations in asymptotic Hodge theory beyond the normal-crossing boundary case, and we study combinatorial properties of the resulting weak polarized relations graphs. |
| title | Hodge adjacency conditions for singularities |
| topic | Algebraic Geometry 14D06, 14D07, 32S30 |
| url | https://arxiv.org/abs/2505.09122 |