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Stokes structure and direct image of irregular singular $$\mathcal{D}$$-modules. (English) Zbl 1320.32016
Augsburger Schriften zur Mathematik, Physik und Informatik 29. Berlin: Logos Verlag; Augsburg: Univ. Augsburg, Mathematisch-Naturwissenschaftlich-Technische Fakultät (Diss. 2014) (ISBN 978-3-8325-4061-6/pbk). 70 p. (2015).
Summary: In this thesis we develop a way of examining the Stokes structure of certain irregular singular $$\mathcal{D}$$-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.

##### MSC:
 32C38 Sheaves of differential operators and their modules, $$D$$-modules 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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