Regularity of a D-Module along a submanifold
Analysis of PDEs
2015-02-10 v1 Algebraic Geometry
Abstract
We study how regularity along a submanifold of a differential or microdifferential system can propagate from a family of submanifolds to another. The first result is that a microdifferential system regular along a lagrangian foliation is regular. However, when restricted to a fixed submanifold the corresponding result is true only under a condition on the characteristic variety.
Cite
@article{arxiv.1502.02579,
title = {Regularity of a D-Module along a submanifold},
author = {Yves Laurent},
journal= {arXiv preprint arXiv:1502.02579},
year = {2015}
}