Epsilon multiplicity of modules with Noetherian saturation algebras.pdf (378.97 kB)

# Epsilon multiplicity of modules with Noetherian saturation algebras

thesis

posted on 2020-07-29, 22:54 authored by Roberto Antonio Ulloa-EsquivelRoberto Antonio Ulloa-EsquivelIn the need of computational tools for epsilon-multiplicity, we provide a criterion for a module with a rank E inside a free module F to have rational epsilon-multiplicity in terms of the finite generation of the saturation Rees algebra of E. In this case, the multiplicity can be related to a Hilbert multiplicity of certain graded algebra. A particular example of this situation is provided: it is shown that the epsilon-multiplicity of monomial modules is Noetherian. Numerical evidence is provided that leads to a conjecture formula for the epsilon-multiplicity of certain monomial curves in the 3-affine space.

## History

## Degree Type

- Doctor of Philosophy

## Department

- Mathematics

## Campus location

- West Lafayette