$\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$的斜极
Oblique poles of $\int_X| {f}| ^{2λ}| {g}|^{2μ} \square$
摘要：
在如下假设下，给出了流值函数$\int |f|^{2λ}|g|^{2μ}\square$的亚纯扩张的斜极线的存在性：$f$和$g$是$\CC^{n+1}$中的全纯函数芽，使得$g$是非奇异的，芽$S:=\ens{\d f\wedge \d g =0}$是一维的，$g|_S$是真的有限的.我们使用的主要工具是交互层的$f$（见\cite{B:91}），monodromy的本地系统$H^{n-1}(u)$对$S$为一个给定的本征值$\exp(-2iπu)$的monodromy的$f$，和monodromy的封面$g|_S$。两个非平凡的例子是完全制定。
英文摘要：
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.
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