Normal surface singularities with an integral homology sphere link related to space monomial curves with a plane semigroup

Martin-Morales, Jorge (Universidad de Zaragoza) ; Vos, Lena

Resumen: In this article, we consider an infinite family of normal surface singularities with an integral homology sphere link which is related to the family of space monomial curves with a plane semigroup. These monomial curves appear as the special fibers of equisingular families of curves whose generic fibers are a complex plane branch, and the related surface singularities appear in a proof of the monodromy conjecture for these curves. To investigate whether the link of a normal surface singularity is an integral homology sphere, one can use a characterization that depends on the determinant of the intersection matrix of a (partial) resolution. To study our family, we apply this characterization with a partial toric resolution of our singularities constructed as a sequence of weighted blow-ups.

Idioma: Inglés

DOI: 10.1007/s10998-022-00488-0

Año: 2023

Publicado en: Periodica Mathematica Hungarica 86, 2 (2023), 303–335
ISSN: 0031-5303

Factor impacto JCR: 0.6 (2023)

Categ. JCR: MATHEMATICS rank: 264 / 490 = 0.539 (2023) - Q3 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 257 / 332 = 0.774 (2023) - Q4 - T3

Factor impacto CITESCORE: 1.4 - Mathematics (all) (Q2)

Factor impacto SCIMAGO: 0.615 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033

Tipo y forma: Article (Published version)

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