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

C. Roucairol

math.AGarXiv:math/0604134

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]]<∂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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