English

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

Algebraic Geometry 2007-06-13 v2 Complex Variables

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]]<\partial_t>-modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic D-module of exponential type.

Keywords

Cite

@article{arxiv.math/0604134,
  title  = {Formal structure of direct image of holonomic D-modules of exponential type},
  author = {C. Roucairol},
  journal= {arXiv preprint arXiv:math/0604134},
  year   = {2007}
}

Comments

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