An effective method for computing Grothendieck point residue mappings

11/18/2020
by   Shinichi Tajima, et al.
0

Grothendieck point residue is considered in the context of computational complex analysis. A new effective method is proposed for computing Grothendieck point residues mappings and residues. Basic ideas of our approach are the use of Grothendieck local duality and a transformation law for local cohomology classes. A new tool is devised for efficiency to solve the extended ideal membership problems in local rings. The resulting algorithms are described with an example to illustrate them. An extension of the proposed method to parametric cases is also discussed as an application.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/24/2021

Two-to-one mappings and involutions without fixed points over _2^n

In this paper, two-to-one mappings and involutions without any fixed poi...
research
03/29/2019

Testing zero-dimensionality of varieties at a point

Effective methods are introduced for testing zero-dimensionality of vari...
research
08/27/2015

Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals

A computation method of algebraic local cohomology with parameters, asso...
research
09/12/2018

Linear Algebra and Duality of Neural Networks

Natural for Neural networks bases, mappings, projections and metrics are...
research
03/08/2021

Millions of 5-State n^3 Sequence Generators via Local Mappings

In this paper, we come back on the notion of local simulation allowing t...
research
04/19/2018

Topology-induced Enhancement of Mappings

In this paper we propose a new method to enhance a mapping μ(·) of a par...
research
04/02/2022

Dually affine Information Geometry modeled on a Banach space

In this chapter, we study Information Geometry from a particular non-par...

Please sign up or login with your details

Forgot password? Click here to reset