On the structure of cohomology groups attached to the integral of certain many-valued analytic functions
On the structure of cohomology groups attached to the integral of certain many-valued analytic functions
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关于某些多值解析函数积分的上同调群的结构
DOI：
10.3792/pjaa.58.97
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发表时间：
1982
影响因子：
0.7
通讯作者：
M. Noumi
中科院分区：
文献类型：
--
作者：
M. Kita;M. Noumi
1.1.设Pj（z）（1_？？_？）< m）是n个复变量z1，...，zn和Aj（1 jm）< C是有限维复向量m空间V上的线性映射。L是可积联络形式;即，ω满足1 P3方程dw+wAw=0。我们表示QX的代数层芽的理性p-形式是全纯的X：= Cn-D其中D是除数的Cn定义的产品P1. Pm的多项式Pj（z）（1Cj<m）。然后w确定层Q~ Ox V上的可积有理联络
1.1. Let Pj(z) (1_??_< m) be polynomials of n complex variables z1,..., zn and Aj (1jm) < C be linear mappings of a finite dimensional complex vector m space V. Let w=A -?L be an integrable connection form; i.e., co satisfies 1 P3 the equation dw+wAw=0. We denote by QX the algebraic sheaf of germs of rational p-forms which are holomorphic on X:=Cn-D where D is the divisor of Cn defined by the product P1.... Pm of the polynomials Pj(z) (1Cj<m). Then w determines an integrable rational connection ®~ on the sheaf Q~ Ox V as follows: