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Monodromy conjecture for some surface singularities

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dc.contributor.authorMelle Hernández, Alejandro
dc.contributor.authorArtal Bartolo, Enrique
dc.contributor.authorCassou-Noguès, Pierrette
dc.contributor.authorLuengo Velasco, Ignacio
dc.date.accessioned2023-06-20T16:48:47Z
dc.date.available2023-06-20T16:48:47Z
dc.date.issued2002-07
dc.description.abstractIn this work we give a formula for the local Denef–Loeser zeta function of a superisolated singularity of hypersurface in terms of the local Denef–Loeser zeta function of the singularities of its tangent cone. We prove the monodromy conjecture for some surfaces singularities. These results are applied to the study of rational arrangements of plane curves whose Euler–Poincaré characteristic is three.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/13339
dc.identifier.doi10.1016/S0012-9593(02)01100-X
dc.identifier.issn0012-9593
dc.identifier.officialurlhttp://smf4.emath.fr/Publications/AnnalesENS/
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/journal/00129593
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57103
dc.issue.number4
dc.journal.titleAnnales Scientifiques de l'École Normale Supérieure. Quatrième Série
dc.language.isoeng
dc.page.final640
dc.page.initial605
dc.publisherSociété Mathématique de France
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordTopological zeta function
dc.subject.keywordMonodromy conjecture
dc.subject.keywordLocal Denef-Loeser zeta function
dc.subject.keywordSuperisolated singularity of hypersurface
dc.subject.keywordRational arrangements of plane curves
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleMonodromy conjecture for some surface singularities
dc.typejournal article
dc.volume.number35
dspace.entity.typePublication
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relation.isAuthorOfPublication2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce
relation.isAuthorOfPublication.latestForDiscoveryc5f952f6-669f-4e3d-abc8-76d6ac56119b

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