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math.AC2025
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…
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…
math.AC2017★ 3 cited
Local Okounkov bodies and limits in prime characteristic
Daniel J. Hernández, Jack Jeffries
This article is concerned with the asymptotic behavior of certain sequences of ideals in rings of prime characteristic. These sequences, which we call -families of ideals, are u…