On the smallest poles of topological zeta functions

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dc.creatorSegers, Dirk
dc.creatorVeys, Willem
dc.date2003-05-16
dc.date.accessioned2026-07-07T04:58:04Z
dc.date.available2026-07-07T04:58:04Z
dc.descriptionWe study the local topological zeta function associated to a complex function that is holomorphic at the origin of C^2 (respectively C^3). We determine all possible poles less than -1/2 (respectively -1). On C^2 our result is a generalization of the fact that the log canonical threshold is never in ]5/6,1[. Similar statements are true for the motivic zeta function.
dc.description18 pages, to appear in Compositio Math
dc.identifierhttps://arxiv.org/abs/math/0305235
dc.identifierhttp://arxiv.org/abs/math/0305235
dc.identifierCompositio Math. 140 (2004) 130-144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67485
dc.subjectAlgebraic Geometry
dc.subject14B05, 14J17, 32S05 (Primary) 14E15, 14H20 (Secondary)
dc.titleOn the smallest poles of topological zeta functions
dc.typetext

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