Yano’s conjecture for two-Puiseux-pair irreducible plane curve singularities

Artal Bartolo, E. (Universidad de Zaragoza) ; Cassou-Noguès, P. ; Luengo, I. ; Melle-Hernández, A.

Resumen: In 1982, Tamaki Yano proposed a conjecture predicting the b-exponents of an irreducible plane curve singularity germ that 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.

Idioma: Inglés

DOI: 10.4171/PRIMS/53-1-7

Año: 2017

Publicado en: PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 53, 1 (2017), 211-239
ISSN: 0034-5318

Factor impacto JCR: 0.732 (2017)

Categ. JCR: MATHEMATICS rank: 144 / 309 = 0.466 (2017) - Q2 - T2

Factor impacto SCIMAGO: 1.412 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C02-02-P
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)