An algorithm for computing Grothendieck local residues II --- general case ---
Commutative Algebra
2018-11-21 v1 Algebraic Geometry
Complex Variables
Abstract
Grothendieck local residue is considered in the context of symbolic computation. Based on the theory of holonomic D-modules, an effective method is proposed for computing Grothendieck local residues. The key is the notion of Noether operator associated to a local cohomology class. The resulting algorithm and an implementation are described with illustrations.
Cite
@article{arxiv.1811.08054,
title = {An algorithm for computing Grothendieck local residues II --- general case ---},
author = {Katsuyoshi Ohara and Shinichi Tajima},
journal= {arXiv preprint arXiv:1811.08054},
year = {2018}
}