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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…
math.AC2020★ 6 cited
Stability and deformation of F-singularities
Alessandro De Stefani, Ilya Smirnov
We study the problem of -adic stability of F-singularities, that is, whether the property that a quotient of a local ring by a non-zero divisor $x…