3 papers
math.AC2026
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…
math.AC2025
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…
math.AC2025
Differential and symbolic powers of ideals
Alessandro De Stefani, EloÃsa 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…