Ilya Smirnov

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20232025

most citedF-singularities of polynomials with square-free support

1 citations · 1 across the 7 of their papers we have counts for

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math.AG2023

An invitation to equimultiplicity of F-invariants

Ilya Smirnov

This note grew from the lectures I delivered at ICTP during the Summer School in honor of Hochster and Huneke. Its purpose is to provide an introduction to the notion of equimultip…

math.AC2023

Effective generic freeness and applications to local cohomology

Yairon Cid-Ruiz, Ilya Smirnov

Let $A$ be a Noetherian domain and $R$ be a finitely generated $A$ -algebra. We study several features regarding the generic freeness over $A$ of an $R$ -module. For an ideal $I \sub…