Intuitive representation of local cohomology groups

TL;DR

This paper develops a framework for intuitively representing local cohomology groups, demonstrating their equivalence through concrete mappings, and applies this to justify intuitive representations of Laplace hyperfunctions.

Contribution

The paper introduces a new framework that provides intuitive representations of local cohomology groups and establishes their equivalence, with an application to Laplace hyperfunctions.

Findings

Established concrete mappings showing equivalence of local cohomology representations

Provided a justification for intuitive representation of Laplace hyperfunctions

Demonstrated the framework's effectiveness through an application

Abstract

We construct a framework which gives intuitive representation of local cohomology groups. By defining the concrete mappings among them, we show their equivalence. As an application, we justify intuitive representation of Laplace hyperfunctions.