A global proof of the homological excess intersection formula
Oscar Finegan
TL;DR
This paper presents a new proof of the homological excess intersection formula for local complete intersections, utilizing global morphisms to compare intersections with self-intersections, offering a novel perspective in intersection theory.
Contribution
The paper introduces a global morphism-based proof of the homological excess intersection formula, providing a new approach distinct from previous local or algebraic methods.
Findings
New proof of the homological excess intersection formula
Utilizes global morphisms to compare intersections with self-intersections
Offers a novel perspective in intersection theory
Abstract
We provide a novel proof of the homological excess intersection formula for local complete intersections. The novelty is that the proof makes use of global morphisms comparing the intersections to a self intersection.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology · Polynomial and algebraic computation