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dc.contributor.authorFernández de Bobadilla, Javier
dc.contributor.authorPallarés Torres, Irma 
dc.contributor.authorSaito, Morihiko
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-03-05T17:44:24Z
dc.date.available2025-03-05T17:44:24Z
dc.date.issued2025
dc.identifier.issn1435-9855
dc.identifier.issn1435-9863
dc.identifier.otherMTM2016-76868-C2-1-Pes_ES
dc.identifier.urihttps://hdl.handle.net/10902/35896
dc.description.abstractWe show that the cobordism class of a polarization of Hodge module defines a natural transformation from the Grothendieck group of Hodge modules to the cobordism group of self-dual bounded complexes with real coefficients and constructible cohomology sheaves in a compatible way with push-forward by proper morphisms. This implies a new proof of the well-definedness of the natural transformation from the Grothendieck group of varieties over a given variety to the above cobordism group (with real coefficients). As a corollary, we get a slight extension of a conjecture of Brasselet, Schürmann and Yokura, showing that in the Q-homologically isolated singularity case, the homology L-class which is the specialization of the Hirzebruch class coincides with the intersection complex L-class defined by Goresky, MacPherson, and others if and only if the sum of the reduced modified Euler-Hodge signatures of the stalks of the shifted intersection complex vanishes. Here Hodge signature uses a polarization of Hodge structure, and it does not seem easy to define it by a purely topological method.es_ES
dc.description.sponsorshipg. J.F.B. was supported by ERCEA 615655 NMST Consolidator Grant, by MINECO through the project reference MTM2016-76868-C2-1-P (UCM), by the Basque Government through the BERC 2018-2021 program and Gobierno Vasco Grant IT1094-16, by the Spanish Ministry of Science, Innovation and Universities: BCAM Severo Ochoa accreditation SEV-2017-0718, and by VIASM through a funded research visit. I.P. was supported by ERCEA 615655 NMST Consolidator Grant, by the Basque Government through the BERC 2018-2021 program and Gobierno Vasco Grant IT1094-16, and by the Spanish Ministry of Science, Innovation and Universities: BCAM Severo Ochoa accreditation SEV-2017-0718. M.S. was supported by JSPS Kakenhi 15K048.es_ES
dc.format.extent28 p.es_ES
dc.language.isoenges_ES
dc.publisherEuropean Mathematical Society Publishing Housees_ES
dc.rightsPublished by EMS Press and licensed under a CC BY 4.0 licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceJournal of the European Mathematical Society, 2025, 27(2), 773-800es_ES
dc.subject.otherCharacteristic classes for singular varietieses_ES
dc.subject.otherL-classeses_ES
dc.subject.otherRational homology manifoldses_ES
dc.subject.otherCobordism classeses_ES
dc.subject.otherHodge moduleses_ES
dc.titleHodge modules and cobordism classeses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.4171/jems/1387es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.4171/JEMS/1387
dc.type.versionpublishedVersiones_ES


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Published by EMS Press and licensed under a CC BY 4.0 licenseExcepto si se señala otra cosa, la licencia del ítem se describe como Published by EMS Press and licensed under a CC BY 4.0 license