5 papers
The arithmetic rank of determinantal nullcones
Jack Jeffries, Vaibhav Pandey, Anurag K. Singh +1
We compute the arithmetic rank as well as the local/étale cohomological dimension of nullcone ideals arising from the classical actions of the symplectic group, the general linear…
Differential and symbolic powers of ideals
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
We characterize symbolic powers of prime ideals in polynomial rings over any field in terms of -linear differential operators, and of prime ideals in polynomial rings o…
Uniformity in nonreduced rings via Noetherian operators
Yairon Cid-Ruiz, Jack Jeffries
We prove a differential version of the Artin-Rees lemma with the use of Noetherian differential operators. As a consequence, we obtain several uniformity results for nonreduced rin…
Sandwich Bernstein-Sato Polynomials and Bernstein's Inequality
Jack Jeffries, David Lieberman
Bernstein's inequality is a central result in the theory of -modules on smooth varieties. While Bernstein's inequality fails for rings of differential operators on general singu…
Differentiating by prime numbers
Jack Jeffries
We introduce -derivations and give a few basic ways in which they act like derivatives by numbers.