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math.AC2020
Differential operators on classical invariant rings do not lift modulo
Jack Jeffries, Anurag K. Singh
Levasseur and Stafford described the rings of differential operators on various classical invariant rings of characteristic zero; in each of the cases that they considered, the dif…
math.AC2020
Extensions of primes, flatness, and intersection flatness
Melvin Hochster, Jack Jeffries
We study when has the property that prime ideals of extend to prime ideals or the unit ideal of , and the situation where this property continues to hold after adj…
math.AC2020
Lower bounds on Hilbert--Kunz multiplicities and maximal F-signatures
Jack Jeffries, Yusuke Nakajima, Ilya Smirnov +2
Hilbert-Kunz multiplicity and F-signature are numerical invariants of commutative rings in positive characteristic that measure severity of singularities: for a regular ring both i…