Microlocal study of ind-sheaves I: micro-support and regularity
Algebraic Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We define the notions of micro-support and regularity for ind-sheaves, and prove their invariance by contact transformations. We apply the results to the ind-sheaves of temperate holomorphic solutions of D-modules. We prove that the micro-support of such an ind-sheaf is the characteristic variety of the corresponding D-module and that the ind-sheaf is regular if the D-module is regular holonomic.
Cite
@article{arxiv.math/0108065,
title = {Microlocal study of ind-sheaves I: micro-support and regularity},
author = {Masaki Kashiwara and Pierre Schapira},
journal= {arXiv preprint arXiv:math/0108065},
year = {2007}
}
Comments
26 pages