Spectral Theory and Bezout Theorem
Juan Carlos Sampedro

TL;DR
This paper explores the deep connection between eigenvalue multiplicity in spectral theory and the local intersection index in algebraic geometry, revealing a novel relationship between these mathematical concepts.
Contribution
It uncovers a previously unnoticed link between spectral multiplicity and intersection theory, enriching the understanding of both areas.
Findings
Established a formal relationship between algebraic multiplicity and intersection index.
Provided new insights into the geometric interpretation of eigenvalue multiplicity.
Bridged concepts from spectral theory and algebraic geometry.
Abstract
This note investigates the hidden relationship between the concept of algebraic multiplicity of an eigenvalue and the local intersection index of algebraic varieties.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Algebraic Geometry and Number Theory
