4 papers
The arithmetic rank of nullcones of classical invariant rings
Manav Batavia, Aryaman Maithani, Kesavan Mohana Sundaram
We compute the arithmetic rank of nullcone ideals arising from natural actions of the special linear, orthogonal, and symplectic groups on direct sums of copies of their standard a…
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…
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…
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.…