English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $(R,m, \kappa)$ be a local ring. We give a characterization of$R$-modules $M$ whose local cohomology is finite length up to some index interms of asymptotic vanishing of Koszul cohomology on parameter ideals up tothe same index. In particular, we show that a quasi-unmixed module $M$ isasymptotically Cohen-Macaulay if and only if $M$ is Cohen-Macaulay on thepunctured spectrum if and only if $\sup\{\ell(H^i(f_1, \ldots, f_d;M))\mid\sqrt{f_1, \ldots, f_d} = m \mbox{, } i< d\}<\infty$.

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