Grobner fan for analytic D-modules with parameters
Rings and Algebras
2007-05-23 v3 Commutative Algebra
Abstract
This is the first part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. The main result of this part is a constructibility result for the analytic Gr\"obner fan of a parametric ideal in the ring of analytic differential operators. In this part, the main tool is the notion of generic reduced standard basis.
Keywords
Cite
@article{arxiv.math/0310369,
title = {Grobner fan for analytic D-modules with parameters},
author = {Rouchdi Bahloul},
journal= {arXiv preprint arXiv:math/0310369},
year = {2007}
}
Comments
10 pages. Accepted version in Proc. Japan Academy Ser. A. (part 2 is math.AG/0603381)