On the vanishing of Tor of the absolute integral closure

DOI10.1016/S0021-8693(03)00504-0zbMath1050.13004arXivmath/0304051OpenAlexW2166021576MaRDI QIDQ1883028

Hans Schoutens

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304051

zbMATH Keywords

positive characteristicregular local ringBetti numberabsolute integral closureweakly F-regular ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (7)

Geometry on totally separably closed schemes ⋮ Bounds in polynomial rings over Artinian local rings ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero ⋮ Dimension and singularity theory for local rings of finite embedding dimension ⋮ A criterion for regularity of local rings ⋮ Characterizations of regular local rings in positive characteristics ⋮ A Local Flatness Criterion for Complete Modules

Cites Work

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• Infinite integral extensions and big Cohen-Macaulay algebras
• F-rational rings have rational singularities
• Homological Dimension in Noetherian Rings.
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• Projective Dimension and the Singular Locus

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