3 papers
math.AC2026
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…
math.AC2026
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…
math.AC2025
On the Ext Analog of the Euler Characteristic
Benjamin Katz, Andrew J. Soto Levins
The Euler form is an Ext analog of the Euler characteristic, and in this paper we study the Euler form and give some applications. The first being a question of Jorgensen, which bo…