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math.AC2024
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.AC2024
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…