Yano's Conjecture for Two-Puiseux-Pairs irreducible Plane Curve Singularities
| dc.contributor.author | ARTAL BARTOLO, Enrique | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUÈS, Pierrette | |
| hal.structure.identifier | Departamento de Algebra [Madrid] | |
| dc.contributor.author | LUENGO VELASCO, Ignacio | |
| hal.structure.identifier | Departamento de Algebra [Madrid] | |
| dc.contributor.author | MELLE HERNANDEZ, Alejandro | |
| dc.date.accessioned | 2024-04-04T03:11:21Z | |
| dc.date.available | 2024-04-04T03:11:21Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0034-5318 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193772 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject.en | Bernstein polynomial | |
| dc.subject.en | b-exponents | |
| dc.subject.en | improper integrals. | |
| dc.title.en | Yano's Conjecture for Two-Puiseux-Pairs irreducible Plane Curve Singularities | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 1602.07248v2 | |
| bordeaux.journal | Publications of the Research Institute for Mathematical Sciences | |
| bordeaux.volume | 53 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01447426 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01447426v1 | |
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