On the Maximally Overdetermined System of Linear Differential Equations (I) (超函数と線型微分方程式 II)
On the Maximally Overdetermined System of Linear Differential Equations (I) (超函数と線型微分方程式 II)
复制标题
论线性微分方程组的极大超定（上）
DOI：
10.2977/prims/1195192011
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发表时间：
1974
影响因子：
1.2
通讯作者：
M. Kashiwara
中科院分区：
文献类型：
--
作者：
M. Kashiwara
本文给出了极大超定线性微分方程组全纯解层的有限性定理和上同调的几个性质。证明依赖于T. Kawai [4]作为一种分析工具，并在H. Whitney [8]和[9]，作为几何工具。我们的目标是下面的定理。
The purpose of this paper is to present finiteness theorems and several properties of cohomologies of holomorphic solution sheaves of maximally overdetermined systems of linear differential equations. The proof relies on the finiteness theorem for elliptic systems due to T. Kawai [4], as an analytic tool, and on the theory of stratifications of analytic sets introduced by H. Whitney [8] and [9] ,as a geometric tool. Our goal is the following theorem.