2024/07/13 by Ricardo Garcı́a López, Lopez, Ricardo Garcia, Claude Sabbah +1 · 1 citation
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2407.10010
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.