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math.AC2025
The embedded deformation problem for monomial ideals
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
This article is concerned with homological properties of local or graded rings whose defining relations are monomials on some regular sequence. The main result of the article posit…
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…