Rees algebras of F-regular type.

DOI10.1006/jabr.2001.9000zbMath1041.13003OpenAlexW2014125064MaRDI QIDQ5957511

Nobuo Hara, Kei- ichi Watanabe, Ken-ichi Yoshida

Publication date: 18 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9000

zbMATH Keywords

characteristic \(p\)rational singularitiesextended Rees algebraF-regular ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

F-singularities of pairs and inversion of adjunction of arbitrary codimension ⋮ A generalization of tight closure and multiplier ideals ⋮ Another proof of the global \(F\)-regularity of Schubert varieties ⋮ Characterization of varieties of Fano type via singularities of Cox rings ⋮ Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three ⋮ Rees algebras and generalized depth‐like conditions in prime characteristic ⋮ \(F\)-rationality of Rees algebras ⋮ On images of weak Fano manifolds ⋮ Globally \(F\)-regular and log Fano varieties ⋮ F-rationality of Rees algebras ⋮ Kollár's injectivity theorem for globally \(F\)-regular varieties ⋮ Characterization of log del Pezzo pairs via anticanonical models ⋮ Surfaces of globally \(F\)-regular and \(F\)-split type

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