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.
Description
An algorithm for computing Grothendieck local residues II --- general case ---
%0 Generic
%1 ohara2018algorithm
%A Ohara, Katsuyoshi
%A Tajima, Shinichi
%D 2018
%K Grothendieck local residues
%T An algorithm for computing Grothendieck local residues II --- general
case ---
%U http://arxiv.org/abs/1811.08054
%X 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.
@misc{ohara2018algorithm,
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.},
added-at = {2018-11-21T04:46:55.000+0100},
author = {Ohara, Katsuyoshi and Tajima, Shinichi},
biburl = {https://www.bibsonomy.org/bibtex/28b40f8cd2d182e5bb4d264f71ff10739/taka3617},
description = {An algorithm for computing Grothendieck local residues II --- general case ---},
interhash = {8107178421d57c3468c16b3ed3b3bc37},
intrahash = {8b40f8cd2d182e5bb4d264f71ff10739},
keywords = {Grothendieck local residues},
note = {cite arxiv:1811.08054},
timestamp = {2018-11-21T04:46:55.000+0100},
title = {An algorithm for computing Grothendieck local residues II --- general
case ---},
url = {http://arxiv.org/abs/1811.08054},
year = 2018
}