Hodge–Lyubeznik numbers
Year: 2025
Type: article
Abstract: 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.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.724
Authors: Ricardo García López, Claude Sabbah
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Agencia Estatal de Investigación
Awards: G14461421, G2262748287, G3480869486, G425668148
OpenAlex ID: W4408831277