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Hodge-deligne polynomials of character varieties of free abelian groups

2021-05-21Journal article Open access
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dc.contributor.authorFlorentino
dc.contributor.authorSilva, Jaime
dc.date.accessioned2021-06-14T15:25:42Z
dc.date.available2021-06-14T15:25:42Z
dc.date.issued2021-05-21
dc.description.abstractLet F be a finite group and X be a complex quasi-projective F-variety. For r is an element of N, we consider the mixed Hodge-Deligne polynomials of quotients X-r/F, where F acts diagonally, and compute them for certain classes of varieties X with simple mixed Hodge structures (MHSs). A particularly interesting case is when X is the maximal torus of an affine reductive group G, and F is its Weyl group. As an application, we obtain explicit formulas for the Hodge-Deligne and E-polynomials of (the distinguished component of) G-character varieties of free abelian groups. In the cases G = GL(n, C) and SL(n, C), we get even more concrete expressions for these polynomials, using the combinatorics of partitions.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFLORENTINO, Carlos; SILVA, Jaime – Hodge-deligne polynomials of character varieties of free abelian groups. Open Mathematics. ISSN 2391-5455. Vol. 19, N.º 1 (2021), pp. 338-362.pt_PT
dc.identifier.doi10.1515/math-2021-0038pt_PT
dc.identifier.issn2391-5455
dc.identifier.urihttp://hdl.handle.net/10400.21/13443
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherDE GRUYTER POLANDpt_PT
dc.relationPTDC/MAT-PUR/30234/2017 - FCT European Commissionpt_PT
dc.subjectFree abelian grouppt_PT
dc.subjectCharacter varietypt_PT
dc.subjectMixed Hodge structurespt_PT
dc.subjectHodge-Deligne polynomialspt_PT
dc.subjectEquivariant E-polynomialspt_PT
dc.subjectFinite quotientspt_PT
dc.titleHodge-deligne polynomials of character varieties of free abelian groupspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/EXCL%2FMAT-GEO%2F0222%2F2012/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBD%2F84967%2F2012/PT
oaire.citation.endPage362pt_PT
oaire.citation.issue1
oaire.citation.startPage338pt_PT
oaire.citation.titleOpen Mathematicspt_PT
oaire.citation.volume19pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStreamSFRH
person.familyNameArango Florentino
person.familyNameDelgado Mancelos Silva
person.givenNameCarlos Armindo
person.givenNameJaime Augusto
person.identifierhttps://scholar.google.pt/citations?user=lvsRdFMAAAAJ
person.identifier.ciencia-id681B-1675-B20D
person.identifier.ciencia-idB01F-61B7-F0AE
person.identifier.orcid0000-0003-1001-0352
person.identifier.orcid0000-0002-2468-895X
person.identifier.scopus-author-id6602533698
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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