Asymptotic vanishing conditions which force regularity in local rings of prime characteristic

DOI10.4310/MRL.2008.v15.n4.a17zbMath1162.13003arXiv0710.4090MaRDI QIDQ2518164

Ian M. Aberbach, Jinjia Li

Publication date: 15 January 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4090

zbMATH Keywords

tight closuretest elementregular local ringsabsolute integral closurestably phantom homology

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Regular local rings (13H05)

Related Items (7)

Global Frobenius Betti numbers and Frobenius Euler characteristics ⋮ On the generalized Hilbert-Kunz function and multiplicity ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero ⋮ Frobenius Betti numbers and syzygies of finite length modules ⋮ Regular rings and perfect(oid) algebras ⋮ Equimultiplicity theory of strongly \(F\)-regular rings ⋮ A Kunz-type characterization of regular rings via alterations

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