Hodge adjacency conditions for singularities
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Advanced Algebra and Geometry
Publication details
- Journal / source
- Pure and Applied Mathematics Quarterly
- Pages
- 1–21
- Publication date
- 1 January 2026
- Language
- EN