19 citations · 56 across the 17 of their papers we have counts for
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math.AC2017
A generalization of an inequality of Lech relating multiplicity and colength
Craig Huneke, Ilya Smirnov, Javid Validashti
We study conjectured generalizations of a formula of Lech which relates the multiplicity of a finite colength ideal in an equicharacteristic local ring to its colength, and prove o…
math.AC2017
Continuity of Hilbert-Kunz multiplicity and F-signature
Thomas Polstra, Ilya Smirnov
We establish the continuity of Hilbert-Kunz multiplicity and F-signature as functions from a Cohen-Macaulay local ring $(R,\m,k)$ of prime characteristic to the real numbers at red…
math.AC2017★ 1 cited
The multiplicity and the number of generators of an integrally closed ideal
Hailong Dao, Ilya Smirnov
Let be a Noetherian local ring and a -primary ideal. In this paper, we study an inequality involving the number of generators, the Loewy length…