I. Smirnov

activity

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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Showing 2022Show all

2 papers · 1 filter

math.CO2022

Deformed graphical zonotopal algebras

Boris Shapiro, Ilya Smirnov, Arkady Vaintrob

We study certain filtered deformations of the external zonotopal algebra of a given graph parametrized by univariate polynomials. We establish some general properties of these alge…

math.AC2022

Uniform Lech's inequality

Linquan Ma, Ilya Smirnov

Let $(R, m)$ be a Noetherian local ring of dimension $d \geq 2$ . We prove that if $e (R_{r e d}) > 1$ , then the classical Lech's inequality can be improved uniformly…