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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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Showing 2018Show all

3 papers · 1 filter

math.AC2018

Decomposition of graded local cohomology tables

Alessandro De Stefani, Ilya Smirnov

Let be a polynomial ring over a field. We describe the extremal rays and the facets of the cone of local cohomology tables of finitely generated graded -modules of dimension…

math.AC2018★ 4 cited

Hilbert-Kunz multiplicity of the powers of an ideal

Ilya Smirnov

We study Hilbert-Kunz multiplicity of the powers of an ideal and establish existence of the second coefficient at the full level of generality, thus extending a recent result of Tr…

math.AC2018★ 1 cited

Lech's inequality, the Stückrad--Vogel conjecture, and uniform behavior of Koszul homology

Patricia Klein, Linquan Ma, Pham Hung Quy +2

Let be a Noetherian local ring, and let be a finitely generated -module of dimension . We prove that the set $\left\{\frac{l(M/IM)}{e(I, M)} \right\}_{…