Epsilon Multiplicity Of Modules with Noetherian Saturation Algebras
Abstract
In the need of computational tools for ε-multiplicity, we provide a criterion for a module with a rank E inside a free module F to have rational ε-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 ε-multiplicity of monomial modules is Noetherian. Numerical evidence is provided that leads to a conjecture formula for the ε-multiplicity of certain monomial curves in A 3 .
Degree
Ph.D.
Advisors
Ulrich, Purdue University.
Subject Area
Mathematics
Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server.