On the Maximally Overdetermined System of Linear Differential Equations, I | Zendy

Masaki Kashiwara | Zendy

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On the Maximally Overdetermined System of Linear Differential Equations, I

Author(s) -

Masaki Kashiwara

Publication year - 1974

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195192011

Subject(s) - overdetermined system , mathematics , holomorphic function , pure mathematics , differential equation , differential (mechanical device) , algebra over a field , mathematical analysis , engineering , aerospace engineering

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.

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