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

2006/04/06 by Céline Roucairol, Roucairol, C.
Engineering · #32C38 #32S40 #34M35 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0604134

openalex publication_date 2006/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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