6 papers · 1 filter
Modules with unbalanced support
Nawaj KC
A finitely generated module has unbalanced support if its support has positive dimension but meets a top-dimensional component of the spectrum only at the closed point. We ask what…
Regularity is bounded on a quasi-excellent Noetherian scheme
Alessandro De Stefani, Jack Jeffries, Nawaj KC +1
A point of a scheme has an associated tangent cone, the spectrum of a standard graded algebra encoding the local singularity. Its homological complexity can be measured by its grad…
Lifting systems for finite length modules
Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram +2
This paper is concerned with lifting modules along a surjective map of noetherian local rings, say . A finitely generated -module is a naive…
Lower bounds on Loewy lengths of modules of finite projective dimension
Nawaj KC, Josh Pollitz
This article is concerned with nonzero modules of finite length and finite projective dimension over a local ring. We show the Loewy length of such a module is larger than the regu…
On liftings of modules of finite projective dimension
Nawaj KC, Andrew J. Soto Levins
We introduce and study a notion of Serre liftable modules; these are modules that are liftable to modules of the maximal possible dimension over a regular local ring. We establish…
Singular loci of algebras over ramified discrete valuation rings
Nawaj KC
When is a field, the classical Jacobian criterion computes the singular locus of an equidimensional, finitely generated -algebra as the closed subset of an ideal generated b…