Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$

Details Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$ Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$

2009-01-20

arxiv.org/abs/0901.3070v1

Mathematics

Algebraic Geometry

4 figures

Scientific paper

Existence of oblique polar lines for the meromorphic extension of the current valued function $\int |f|^{2\lambda}|g|^{2\mu}\square$ 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 $\exp(-2i\pi u)$ of the monodromy of $f$, and the monodromy of the cover $g|_S$. Two non-trivial examples are completely worked out.

Affiliated with

Also associated with

No associations

Rating

Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-435192