Inversion of adjunction on log canonicity

Abstract

We prove inversion of adjunction on log canonicity.

4 pages; minor typos in the proof of Lemma 3 corrected

Cited by in corpus (66)

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• Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces
• Simple finite subgroups of the Cremona group of rank 3
• Moduli of varieties of general type
• Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties
• A survey of test ideals
• K-polystability of Q-Fano varieties admitting Kahler-Einstein metrics
• Which powers of holomorphic functions are integrable?
• Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities
• On the connectedness principle and dual complexes for generalized pairs
• Semipositivity theorems for moduli problems
• Stable varieties with a twist
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• Mirror symmetry for log Calabi-Yau surfaces I
• Testing log K-stability by blowing up formalism
• Supplements to non-lc ideal sheaves
• ACC for log canonical thresholds
• Invariance of Plurigenera and boundedness for Generalized Pairs
• Rationally connected non-Fano type varieties
• Inversion of adjunction for rational and Du Bois pairs
• Adjoint ideals along closed subvarieties of higher codimension
• The dualizing sheaf on first-order deformations of toric surface singularities
• Moduli of products of stable varieties
• Log abundance of the moduli b-divisors of lc-trivial fibrations
• Iitaka fibrations for dlt pairs polarized by a nef and log big divisor
• A Minimizing Valuation is Quasi-monomial
• On the boundedness of $n$-folds with $\kappa (X)=n-1$
• Threefold extremal curve germs with one non-Gorenstein point
• Adjoint ideals and a correspondence between log canonicity and F-purity
• The Angehrn-Siu Type Effective Freeness For Quasi-Log Canonical Pairs
• Singularities of stable varieties
• Theory of non-lc ideal sheaves -basic properties-
• Complements and coregularity of Fano varieties
• Existence of log canonical modifications and its applications
• Alpha invariants and K-stability for general polarisations of Fano varieties
• Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families
• Grothendieck--Lefschetz type theorems for the local Picard group
• Polystable log Calabi-Yau varieties and Gravitational instantons
• Arithmetic and geometric deformations of $F$-pure and $F$-regular singularities
• Vanishing and semipositivity theorems for semi-log canonical pairs
• Invariant hypersurfaces of endomorphisms of projective varieties
• On characterization of toric varieties
• Ideal-adic semi-continuity problem for minimal log discrepancies
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• A connectedness theorem over the spectrum of a formal power series ring
• $F$-purity deforms in $\mathbb{Q}$-Gorenstein rings
• Adjunction and inversion of adjunction
• A Gorenstein criterion for strongly $F$-regular and log terminal singularities
• Totally invariant divisors of int-amplified endomorphisms of normal projective varieties
• Rational singularities associated to pairs
• Towards boundedness of minimal log discrepancies by Riemann--Roch theorem
• Singularities of log varieties via jet schemes
• Boundedness results for families of non-canonically polarized projective varieties
• The compactifications of moduli spaces of Burniat surfaces with $2\le K^2\le 5$
• Inversion of Adjunction for the minimal exponent
• Arithmetic and geometric deformations of 3-folds
• Fano fourfolds with large anticanonical base locus
• On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
• A characteristic p analogue of plt singularities and adjoint ideals
• Effective base point free theorem for log canonical pairs II--Angehrn--Siu type theorems--
• Boundedness of stable minimal models with klt singularities
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