Year: 2025
Type: article
Abstract: In the first part of this thesis, we study liftings of modules of finite projective dimension. We introduce a notion of “Serre liftable” modules and deduce applications to multiplicity conjectures in local algebra. In the second part, we introduce and study a module of mixed K\"ahler differentials for finite algebras over ramified discrete valuation rings of mixed characteristic. We state and prove a Jacobian criterion for computing the singular loci of such algebras.Advisors: Jack Jeffries and Mark Walker
Source: Lincoln (University of Nebraska)
Author: KC, Nawaj
Institution: University of Nebraska–Lincoln
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7049039793
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