Monodromy eigenvalues and zeta functions with differential forms
| dc.creator | Veys, Willem | |
| dc.date | 2007-01-18 | |
| dc.date.accessioned | 2026-07-07T07:41:42Z | |
| dc.date.available | 2026-07-07T07:41:42Z | |
| dc.description | For a complex polynomial or analytic function f, one has been studying intensively its so-called local zeta functions or complex powers; these are integrals of |f|^{2s}w considered as functions in s, where the w are differential forms with compact support. There is a strong correspondence between their poles and the eigenvalues of the local monodromy of f. In particular Barlet showed that each monodromy eigenvalue of f is of the form exp(a2iπ), where a is such a pole. We prove an analogous result for similar p-adic complex powers, called Igusa (local) zeta functions, but mainly for the related algebro-geometric topological and motivic zeta functions. | |
| dc.description | To appear in Advances in Mathematics. 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701502 | |
| dc.identifier | http://arxiv.org/abs/math/0701502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122213 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05; 32S40; 11S80 | |
| dc.title | Monodromy eigenvalues and zeta functions with differential forms | |
| dc.type | text |