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

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

2006-04-06

arxiv.org/abs/math/0604134v2

Mathematics

Algebraic Geometry

19 pages, 5 figures, supported by a fellowship of the Deutsche Forschungsgemeinschaft. Revised version

Scientific paper

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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