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

C. Roucairol
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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]]<\partial_t>-modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic D-module of exponential type.

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C. Roucairol. 2007-06-13. Formal structure of direct image of holonomic D-modules of exponential type. https://arxiv.org/abs/math/0604134

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