arXiv Analytics

Sign in

arXiv:math/0604134 [math.AG]AbstractReferencesReviewsResources

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

C. Roucairol

Published 2006-04-06, updated 2007-06-13Version 2

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.

Comments: 19 pages, 5 figures, supported by a fellowship of the Deutsche Forschungsgemeinschaft. Revised version
Categories: math.AG, math.CV
Subjects: 32S40, 32C38, 34M35
Related articles: Most relevant | Search more
arXiv:1007.4158 [math.AG] (Published 2010-07-23)
Preconstructibility of tempered solutions of holonomic D-modules
arXiv:1311.6621 [math.AG] (Published 2013-11-26)
Constructibility of tempered solutions of holonomic D-modules
arXiv:2012.12833 [math.AG] (Published 2020-12-23)
Smoothness of cohomology sheaves of stacks of shtukas