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math.AG2025
Bertini's theorem for -rational -pure singularities
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
Let be an algebraically closed field of characteristic , and let be a quasi-projective variety that is -rational and -pure. We prove that…
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…