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Formal structure of direct image of holonomic D-modules of exponential type

Abstract

We compute formal invariants associated with the cohomology sheaves of the direct image of holonomic D-modules of exponential type. We also prove that every formal C[[t]]-modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic D-module of exponential type.Comment: 19 pages, 5 figures, supported by a fellowship of the Deutsche Forschungsgemeinschaft. Revised versio

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