On vanishing of cohomology attached to certain many valued meromorphic functions
On vanishing of cohomology attached to certain many valued meromorphic functions
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关于某些许多有价值的亚纯函数的上同调的消失
DOI：
10.2969/jmsj/02720248
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发表时间：
1975
影响因子：
0.7
通讯作者：
K. Aomoto
中科院分区：
文献类型：
--
作者：
K. Aomoto
D=\sum\lambda_{k}\Gamma_{k}（\lambda_{k}\in C）$是V$上的一个有界$（2n-2）$ -圈，由有限个不可约的闭解析因子$\Gamma_{k}$组成。设$F_{D}（z）=\exp\Phi_{D}（z）$是一个以$D$为因子的乘法亚纯函数.已知该函数是唯一确定的，直到一个乘法常数（见[7]）。设$\rho_{\lambda}$是$V的基本群$G$的标量表示-|D| $ into
$D=\sum\lambda_{k}\Gamma_{k}(\lambda_{k}\in C)$ be a bounding $(2n-2)$ -cycle on $V$ consisting of a finite number of irreducible closed analytic divisors $\Gamma_{k}$ . Let $F_{D}(z)=\exp\Phi_{D}(z)$ be a multiplicative meromorphic function having $D$ as its divisor. It is known that this function is determined uniquely up to a multiplicative constant (see [7]). Let $\rho_{\lambda}$ be the scalar representation of the fundamental group $G$ of $V-|D|$ into