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Formal structure of direct image of holonomic $${mathcal{D}}$$ -modules of exponential type
Authors:Céline Roucairol
Affiliation:(1) Lehrstuhl VI für Math., University of Mannheim, A5 6, 68161 Mannheim, Germany
Abstract:We compute formal invariants associated with the cohomology sheaves of the direct image of holonomic $${mathcal{D}}$$ -modules of exponential type. We also prove that every formal $${mathbb{C}}lbracklbrack{t}rbrackrbracklanglepartial_trangle$$ -modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic $${mathcal{D}}$$ -module of exponential type.
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000) 32S40  32C38  34M35
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