Local Cohomology of Analytic Spaces
Local Cohomology of Analytic Spaces
复制标题
解析空间的局部上同调
DOI：
10.2977/prims/1195196607
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发表时间：
1976
影响因子：
1.2
通讯作者：
Z. Mebkhout
中科院分区：
文献类型：
--
作者：
Z. Mebkhout
本文的目的是证明嵌入复流形的复解析空间的局部上同调是无限级线性微分方程的完整系统，其全纯解层是该空间中常数层C的一个分解，从而给出了Poincare引理.证明依赖于M. Kashiwara（[2]和[3]）和A. Grothendieck定理关于代数簇的De Rham上同调（[！]）。我非常感激M。我从他的论文中学到了很多。
The purpose of this paper is to show that the local cohomology of a complex analytic space embedded in a complex manifold is a holonomic system of linear differential equations of infinite order and its holomorphic solution sheaves are a resolution of the constant sheaf C in this space which provides the Poincare lemma. The proof relies on the theories of the ^-function and holonomic systems due to M. Kashiwara ([2] and [3]) and A. Grothendieck's theorem on the De Rham cohomology of an algebraic variety ([!]). I am very much indebted to M. Kashiwara from whose papers I learned so much.