Regular And Irregular Holonomic D Modules

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Regular and Irregular Holonomic D-Modules

Author: Masaki Kashiwara
language: en
Publisher: Cambridge University Press
Release Date: 2016-05-26
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
Stokes Structure and Direct Image of Irregular Singular D-Modules

Author: Hedwig Heizinger
language: en
Publisher: Logos Verlag Berlin GmbH
Release Date: 2015-08-10
In this thesis we develop a way of examining the Stokes structure of certain irregular singular D-modules, namely the direct image of exponentially twisted meromorphic connections with regular singularities, in a topological point of view. We use this topological description to compute linear Stokes data for an explicit example.