Patricia Klein

activity

20182022

most citedHomological and combinatorial aspects of virtually Cohen--Macaulay sheaves

16 citations · 42 across the 10 of their papers we have counts for

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2 papers · 1 filter

math.AC2018

Characterizing finite length local cohomology in terms of bounds on Koszul cohomology

Patricia Klein

Let $(R, m, κ)$ be a local ring. We give a characterization of $R$ -modules $M$ whose local cohomology is finite length up to some index in terms of asymptotic vanishing of Koszul co…

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