On maximal order poles of generalized topological zeta functions

Artal Bartolo, Enrique (Universidad de Zaragoza) ; González-Villa, Manuel

Resumen: We show some examples of topological zeta functions associated to an isolated plane curve singular point and an allowed, in the sense due to Némethi and Veys in 2012, differential form that have several poles of order two. This is in contrast to the case of the standard differential form where, as showed by Veys for plane curves in 1995, and by Nicaise and Xu in general twenty one years later, there is always at most one pole of maximal order.

Idioma: Inglés

DOI: 10.1090/conm/778/15659

Año: 2022

Publicado en: Contemporary mathematics - American Mathematical Society 778 (2022), 225-230
ISSN: 0271-4132

Originalmente disponible en: Texto completo de la revista

Factor impacto CITESCORE: 0.9 - Mathematics (Q4)

Factor impacto SCIMAGO: 0.425 - Mathematics (miscellaneous)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C33/AEI/10.13039/501100011033

Tipo y forma: Congress (PrePrint)

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