Poles of the topological zeta function for plane curves and Newton polyhedra

Simple item page
dc.creatorLemahieu, Ann
dc.creatorVan Proeyen, Lise
dc.date2008-05-13
dc.date.accessioned2026-07-07T09:38:37Z
dc.date.available2026-07-07T09:38:37Z
dc.descriptionThe local topological zeta function is a rational function associated to a germ of a complex holomorphic function. This function can be computed from an embedded resolution of singularities of the germ. For nondegenerate functions it is also possible to compute it from the Newton polyhedron. Both ways give rise to a set of candidate poles of the topological zeta function, containing all poles. For plane curves, Veys showed how to filter the actual poles out of the candidate poles induced by the resolution graph. In this note we show how to determine from the Newton polyhedron of a nondegenerate plane curve which candidate poles are actual poles.
dc.identifierhttps://arxiv.org/abs/0805.1878
dc.identifierhttp://arxiv.org/abs/0805.1878
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160873
dc.subjectAlgebraic Geometry
dc.subject14B05
dc.titlePoles of the topological zeta function for plane curves and Newton polyhedra
dc.typetext

Files

Collections

arXiv