Seminormal rings and weakly normal varieties

DOI10.1017/S0027763000019279zbMath0528.14001OpenAlexW1508070265MaRDI QIDQ3309977

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Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019279

zbMATH Keywords

completionseminormal ringsweakly normal varietiesc-regular functionmulticrossreduced Cohen- Macaulay ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Varieties and morphisms (14A10) Complete rings, completion (13J10) General commutative ring theory (13A99)

Related Items

Corrections to “Seminormal rings and weakly normal varieties” ⋮ On Kodaira Vanishing for Singular Varieties ⋮ Central algebraic geometry and seminormality ⋮ Continuous closure, axes closure, and natural closure ⋮ Seminormal surfaces ⋮ Singularities of Rees-like algebras ⋮ Weak and semi normalization in real algebraic geometry ⋮ Unnamed Item ⋮ Homeomorphism versus isomorphism for varieties ⋮ Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties ⋮ Weak normalization in graded extensions and weak subintegral closure of ideals ⋮ Picard groups in Abelian group rings ⋮ On grade and formal connectivity for weakly normal varieties ⋮ Weakly normal varieties: The multicross singularity and some vanishing theorems on local cohomology

Cites Work

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• Algebraic geometry and analytic geometry
• On the \(R\)-invariance of \(R[X\)]
• An analogue of Oka's theorem for weakly normal complex spaces
• Some Analogues of Hartogs' Theorem in an Algebraic Setting
• Relative Lipschitz-Saturation
• Holomorphic extension of continuous, weakly holomorphic functions on certain analytic varieties
• Projective modules over polynomial rings

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