Deformation of F-purity and F-regularity

DOI10.1016/S0022-4049(98)00014-0zbMath0946.13001arXivmath/0209241MaRDI QIDQ1300645

Anurag K. Singh

Publication date: 18 October 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209241

zbMATH Keywords

tight closurecanonical moduleF-regular ringcyclic coverWeil divisorF-pure ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Deformations and infinitesimal methods in commutative ring theory (13D10) Étale and flat extensions; Henselization; Artin approximation (13B40) Class groups (13C20)

Related Items (8)

F-stable secondary representations and deformation of F-injectivity ⋮ Local Cohomology—An Invitation ⋮ On generalized deformation problems ⋮ \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\) ⋮ Weak F-regularity deforms in \(\mathbb{Q}\)-Gorenstein rings ⋮ Positive characteristic algebraic geometry ⋮ FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION ⋮ Applications of pseudocanonical covers to tight closure problems

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