Meromorphic connections. II: The canonic grid. (Connexions méromorphes. II: Le réseau canonique.) (French) Zbl 0849.32003

Malgrange, Bernard

Invent. Math. 124, No. 1-3, 367-387 (1996).

The author provides a complete proof of the existence of a canonical lattice for meromorphic connections, and more generally for formal meromorphic connections. This important result provides many useful applications which have been established in previous papers. Also he shows the existence of a good formal decomposition of a meromorphic connection, the “most polar part” of which is regular in some suitable basis.
[For part I see Lond. Math. Soc. Lect. Note Ser. 201, 251-261 (1994; Zbl 0816.32001)].

Reviewer: Vo Van Tan (Boston)

MSC:

32A20	Meromorphic functions of several complex variables
32C38	Sheaves of differential operators and their modules, \(D\)-modules

Keywords:

meromorphic connections

Citations:

Zbl 0816.32001