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20112026
most citedUpper semi-continuity of the Hilbert-Kunz multiplicity

19 citations · 56 across the 17 of their papers we have counts for

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math.AC2014★ 19 cited

Upper semi-continuity of the Hilbert-Kunz multiplicity

Ilya Smirnov

We prove that the Hilbert-Kunz multiplicity is upper semi-continuous in F-finite rings and algebras of essentially finite type over an excellent local ring.

math.AC2014★ 2 cited

Prime filtrations of the powers of an ideal

Craig Huneke, Ilya Smirnov

We prove that for all , simultaneously, we can choose prime filtrations of such that the set of primes appearing in these filtrations is finite.