Hodge–Lyubeznik numbers

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dc.contributor.authorGarcía López, Ricardo
dc.contributor.authorSabbah, Claude
dc.date.accessioned2026-07-07T09:47:35Z
dc.date.available2026-07-07T09:47:35Z
dc.date.issued2025-03-25
dc.date.updated2026-07-07T09:47:37Z
dc.description.abstractWe 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.
dc.format.extent10 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec770213
dc.identifier.issn1631-073X
dc.identifier.urihttps://hdl.handle.net/2445/230507
dc.language.isoeng
dc.publisherElsevier Masson
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.5802/crmath.724
dc.relation.ispartofComptes Rendus Mathématique, 2025, vol. 363, p. 213-221
dc.relation.urihttps://doi.org/10.5802/crmath.724
dc.relation.urihttps://doi.org/10.5802/crmath.773
dc.rightscc-by (c) García López, Ricardo et al., 2025
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationHomologia
dc.subject.classificationGeometria algebraica
dc.subject.classificationTeoria de Hodge
dc.subject.otherHomology
dc.subject.otherAlgebraic geometry
dc.subject.otherHodge theory
dc.titleHodge–Lyubeznik numbers
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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