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

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AC2016

$D$ -module and $F$ -module length of local cohomology modules

Mordechai Katzman, Linquan Ma, Ilya Smirnov +1

Let $R$ be a polynomial or power series ring over a field $k$ . We study the length of local cohomology modules $H_{I}^{j} (R)$ in the category of $D$ -modules and $F$ -modules. We show th…

math.AC2016★ 9 cited

Equimultiplicity in Hilbert-Kunz theory

Ilya Smirnov

This paper develops a theory of equimultiplicity for Hilbert-Kunz multiplicity and uses it to study the behavior of Hilbert-Kunz multiplicity on the Brenner-Monsky hypersurface. A…

D-module and F-module length of local cohomology modules

Equimultiplicity in Hilbert-Kunz theory

$D$ -module and $F$ -module length of local cohomology modules