F-singularities of pairs and inversion of adjunction of arbitrary codimension

DOI10.1007/s00222-003-0350-3zbMath1121.13008arXivmath/0305286OpenAlexW2035449772MaRDI QIDQ1882748

Shunsuke Takagi

Publication date: 1 October 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305286

zbMATH Keywords

singularities of pairsF-singularitiesinversion of adjunction

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Adjunction problems (14N30)

Related Items (20)

DiagonalF-Thresholds on Binomial Hypersurfaces ⋮ On F-pure thresholds ⋮ Rational singularities associated to pairs ⋮ Generalized test ideals and symbolic powers ⋮ \(F\)-singularities under generic linkage ⋮ A refinement of sharply \(F\)-pure and strongly \(F\)-regular pairs ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ The Cartier core map for Cartier algebras ⋮ Semi-log canonical vs \(F\)-pure singularities ⋮ On a comparison of minimal log discrepancies in terms of motivic integration ⋮ -PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS ⋮ Adjoint ideals along closed subvarieties of higher codimension ⋮ F-Thresholds versusa-Invariants for Standard Graded Toric Rings ⋮ Globally \(F\)-regular and log Fano varieties ⋮ Centers of \(F\)-purity ⋮ Test ideals in non-$\mathbb{Q}$-Gorenstein rings ⋮ On the behavior of test ideals under finite morphisms ⋮ $F$-invariants of diagonal hypersurfaces ⋮ F-THRESHOLDS OF GRADED RINGS ⋮ On strongly \(F\)-regular inversion of adjunction

Cites Work

• Unnamed Item
• Unnamed Item
• The purity of the Frobenius and local cohomology
• Inversion of adjunction for non-degenerate hypersurfaces
• Jet schemes, log discrepancies and inversion of adjunction
• On F-pure thresholds
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Geometric interpretation of tight closure and test ideals
• The multiplier ideal is a universal test ideal
• F-rational rings have rational singularities
• Tight closure and strong F-regularity
• F-Purity and Rational Singularity
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• Singularities of Pairs
• Some results on test elements
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• On a generalization of test ideals
• Inversion of adjunction for local complete intersection varieties
• A generalization of tight closure and multiplier ideals
• An interpretation of multiplier ideals via tight closure
• Strong F-regularity in images of regular rings
• Characterizations of Regular Local Rings of Characteristic p
• A characterization of rational singularities
• Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties
• Rees algebras of F-regular type.

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