5 papers
Cohomological support varieties for monomial ideals
Kara Fagerstrom, Julianne Faur, Benjamin Katz +3
Let be a local or positively graded ring with a regular presentation where is a monomial ideal generated by elements on a regular sequence. In Briggs-Grif…
Large homomorphisms on the homotopy lie coalgebra
Andrew J. Soto Levins, Ryan Watson
We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our…
Quasi-Gorenstein morphisms of commutative local dg-algebras
Zachary Nason, Andrew J. Soto Levins, Ryan Watson
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new ev…
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…
Cohomological support varieties under local homomorphisms
Ryan Watson
Given a bounded complex of finitely generated modules over a commutative noetherian local ring , one assigns to it a variety, , called the cohomological sup…