Related papers: Log canonical inversion of adjunction

We establish a kind of subadjunction formula for quasi-log canonical pairs. As an application, we prove that a connected projective quasi-log canonical pair whose quasi-log canonical class is anti-ample is simply connected and rationally…

We use the theory of motivic integration for singular spaces to give a characterization of minimal log discrepencies in terms of the codimension of certain subsets of spaces of arcs. This is done for arbitrary pairs $(X,Y)$, with $X$ normal…

This note analyzes in terms of categorial proof theory some standard assumptions about negation in the absence of any other connective. It is shown that the assumptions for an involutive negation, like classical negation, make a kind of…

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

The paper presents a counterexample to the Hodge conjecture.

In this article we give two independent proofs of the positive characteristic analog of the log terminal inversion of adjunction. We show that for a pair $(X, S+B)$ in characteristic $p>0$, if $(S^n, B_{S^n})$ is strongly $F$-regular, then…

We describe a canonical form for linear differential operators that are formally self-adjoint or formally skew-adjoint.

We present the elementary properties of log canonical centers of log varieties.

Upper moduli part of adjunction is introduced and its basic property are discussed. The moduli part satisfies the BP in the case of rational multiplicities and is nef in the maximal case.

We prove that small deformations of canonical singularities are canonical.

This brief note concerns the invertibility of certain alternant matrices. In particular those that consisting of polynomials and products of polynomials and logarithms are shown to be invertible under appropriate conditions on the degrees…

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

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

In this paper, I prove a very general extension theorem for log pluricanonical systems. The main application of this extension theorem is (together with Kawamata's subadjunction theorem) to give an optimal subadjunction theorem which…

We give new examples of terminal and log canonical singularities.

In this short note,we correct a well-known counter example of the famous book of Dacorogna[2].

In this paper, we give a simple counter example to the famous Hodge conjecture.

A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.

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