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arXiv · 2505.09122

Hodge adjacency conditions for singularities

RJ Acuna·Matt Kerr
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Abstract

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.

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RJ Acuna, Matt Kerr. 2025-05-14. Hodge adjacency conditions for singularities. https://arxiv.org/abs/2505.09122

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