Hodge adjacency conditions for singularities
Algebraic Geometry
2025-10-01 v2
Abstract
We prove compatibility relations between mixed Hodge numbers of -Du Bois fibers in flat projective families and versal deformations of isolated -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.
Keywords
Cite
@article{arxiv.2505.09122,
title = {Hodge adjacency conditions for singularities},
author = {RJ Acuna and Matt Kerr},
journal= {arXiv preprint arXiv:2505.09122},
year = {2025}
}
Comments
17 pages, 1 figure