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The Stokes Structure of a good meromorphic flat bundle

Part of: Analytic spaces Partial differential equations

Published online by Cambridge University Press:  03 May 2011

Takuro Mochizuki
Takuro Mochizuki
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan (takuro@kurims.kyoto-u.ac.jp)
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Abstract

We give a survey on the Stokes structure of a good meromorphic flat bundle. We also show that a meromorphic flat bundle has the good formal structure if and only if it has a good lattice.

Keywords

meromorphic flat bundleStokes structureRiemann–Hilbert–Birkhoff correspondence

MSC classification

Secondary: 32C38: Sheaves of differential operators and their modules, $D$-modules 35A27: Microlocal methods; methods of sheaf theory and homological algebra in PDE
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 10 , Special Issue 3: A Special Issue in Honour of Louis Boutet de Monvel and Pierre Schapira , July 2011 , pp. 675 - 712
Copyright
Copyright © Cambridge University Press 2011

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