Regularity and b-functions for D-modules
Analysis of PDEs
2016-06-09 v2 Algebraic Geometry
Abstract
A holonomic D-module on a complex analytic manifoldadmits always a b-function along any submanifold. If the module is regular, itadmits also a regular b-function, that is a b-function with a condition on the order of the lower terms of the equation.There is a weaker condition of regularity: regularity alonga submanifold. We prove that a module which is regular alonga submanifold admits a regular b-function along this submanifold.
Keywords
Cite
@article{arxiv.1501.06932,
title = {Regularity and b-functions for D-modules},
author = {Yves Laurent},
journal= {arXiv preprint arXiv:1501.06932},
year = {2016}
}