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
The arithmetic rank of the residual intersections of a complete intersection ideal
Manav Batavia, Kesavan Mohana Sundaram, Vaibhav Pandey +1
The arithmetic rank of an ideal in a polynomial ring over an algebraically closed field is the smallest number of equations needed to define its vanishing locus set-theoretically.…
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…