Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$
| dc.creator | Barlet, Daniel | |
| dc.creator | Maire, H. -M. | |
| dc.date | 2009-01-20 | |
| dc.date.accessioned | 2026-07-07T12:43:23Z | |
| dc.date.available | 2026-07-07T12:43:23Z | |
| dc.description | Existence of oblique polar lines for the meromorphic extension of the current valued function $\int |f|^{2λ}|g|^{2μ}\square$ is given under the following hypotheses: $f$ and $g$ are holomorphic function germs in $\CC^{n+1}$ such that $g$ is non-singular, the germ $S:=\ens{\d f\wedge \d g =0}$ is one dimensional, and $g|_S$ is proper and finite. The main tools we use are interaction of strata for $f$ (see \cite{B:91}), monodromy of the local system $H^{n-1}(u)$ on $S$ for a given eigenvalue $\exp(-2iπu)$ of the monodromy of $f$, and the monodromy of the cover $g|_S$. Two non-trivial examples are completely worked out. | |
| dc.description | 4 figures | |
| dc.identifier | https://arxiv.org/abs/0901.3070 | |
| dc.identifier | http://arxiv.org/abs/0901.3070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220401 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S40, 58K55 | |
| dc.title | Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$ | |
| dc.type | text |