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dc.contributor.authorARTAL BARTOLO, Enrique
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCASSOU-NOGUÈS, Pierrette
hal.structure.identifierDepartamento de Algebra [Madrid]
dc.contributor.authorLUENGO VELASCO, Ignacio
hal.structure.identifierDepartamento de Algebra [Madrid]
dc.contributor.authorMELLE HERNANDEZ, Alejandro
dc.date.accessioned2024-04-04T03:11:21Z
dc.date.available2024-04-04T03:11:21Z
dc.date.created2015
dc.date.issued2017
dc.identifier.issn0034-5318
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193772
dc.description.abstractEnIn 1982, Tamaki Yano proposed a conjecture predicting the b- exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In this article we prove the conjecture for the case in which the irreducible germ has two Puiseux pairs and its algebraic monodromy has distinct eigenvalues. This hypothesis on the monodromy implies that the b-exponents coincide with the opposite of the roots of the Bernstein polynomial, and we compute the roots of the Bernstein polynomial.
dc.language.isoen
dc.publisherEuropean Mathematical Society
dc.subject.enBernstein polynomial
dc.subject.enb-exponents
dc.subject.enimproper integrals.
dc.title.enYano's Conjecture for Two-Puiseux-Pairs irreducible Plane Curve Singularities
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.identifier.arxiv1602.07248v2
bordeaux.journalPublications of the Research Institute for Mathematical Sciences
bordeaux.volume53
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01447426
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01447426v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Publications%20of%20the%20Research%20Institute%20for%20Mathematical%20Sciences&rft.date=2017&rft.volume=53&rft.eissn=0034-5318&rft.issn=0034-5318&rft.au=ARTAL%20BARTOLO,%20Enrique&CASSOU-NOGU%C3%88S,%20Pierrette&LUENGO%20VELASCO,%20Ignacio&MELLE%20HERNANDEZ,%20Alejandro&rft.genre=article


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