相关论文: Inversion of adjunction on log canonicity

This is a short note on the log canonical inversion of adjunction.

We prove a result on the inversion of adjunction for log canonical pairs that generalizes Kawakita's result to log canonical centers of arbitrary codimension.

We prove inversion of adjunction for higher rational singularities.

We establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.

We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon's inversion of adjunction for log canonical centers of arbitrary codimension.

We prove the precise inversion of adjunction formula for quotient singularities and klt Cartier divisors. As an application, we prove the semi-continuity of minimal log discrepancies for klt hyperquotient singularities.

We prove the precise inversion of adjunction formula for quotient singularities. As an application, we prove the semi-continuity of minimal log discrepancies for hyperquotient singularities. This paper is a continuation of arXiv:2011.07300,…

We prove the precise inversion of adjunction formula for finite linear group quotients of complete intersection varieties defined by semi-invariant equations. As an application, we prove the semi-continuity of minimal log discrepancies for…

We prove a precise inversion of adjunction formula for the log pair associated to a non-degenerate hypersurface. As a corollary, the minimal log discrepancies of non-degenerate normal hypersurface singularities are bounded from above by…

We give a counterexample to the PIA (precise inversion of adjunction) conjecture for minimal log discrepancies. We also give a counterexample to the LSC conjecture for families.

We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs.

In this note we build on our previous work with Takehiko Yasuda to prove a precise version of inversion of adjunction for varieties which are local complete intersections.

We prove Union-Closed sets conjecture.

In this paper we prove the Zariski-Lipman conjecture for log canonical spaces.

We prove that the minimal exponent for local complete intersections satisfies an Inversion-of-Adjunction property. As a result, we also obtain the Inversion of Adjunction for higher Du Bois and higher rational singularities for local…

We prove a version of adelic descent for continuous localizing invariants.

In this paper we give an elementary proof of the Zariski-Lipman conjecture for log canonical spaces.

We give counterexamples to Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients.

We record an explicit proof of the theorem that lifts a two-variable adjunction to the arrow categories of its domains.

We settle in the affirmative the Graham-Sloane conjecture.