Formal structure of direct image of holonomic $${\mathcal{D}}$$ -modules of exponential type期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Formal structure of direct image of holonomic $${\mathcal{D}}$$ -modules of exponential type

Authors:	Céline Roucairol

Institution:	(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 ${\mathbb{C}}\lbrack\lbrack{t}\rbrack\rbrack\langle\partial_t\rangle$ -modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic ${\mathcal{D}}$ -module of exponential type.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 32S40 32C38 34M35
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