Related papers: Inversion of adjunction on log canonicity

In this paper, we study transcendental aspects of the cohomology groups of adjoint bundles of log canonical pairs, aiming to establish an analytic theory for log canonical singularities. As a result, in the case of purely log terminal…

We prove several congruences for trinomial coefficients.

We give new examples of terminal and log canonical singularities.

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…

A complete proof is given of relative interpretability of Adjunctive Set Theory with Extensionality in an elementary concatenation theory.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

We discuss adjunction formulas for fiber spaces and embeddings, extending the known results along the lines of the Adjunction Conjecture, independently proposed by Y. Kawamata and V.V. Shokurov. As an application, we simplify Koll\'ar's…

We prove the converse of Yano's extrapolation theorem for translation invariant operators.

We extend the conjecture on the derived equivalence and K-equivalence to the logarithmic case and prove it in the toric case.

We show that the log canonical threshold of a generic determinantal variety and its generic link are the same.

We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.

This paper is devoted to the study of the log-convexity of combinatorial sequences. We show that the log-convexity is preserved under componentwise sum, under binomial convolution, and by the linear transformations given by the matrices of…

We prove that the log Iitaka conjecture holds for log canonical fibrations when log canonical divisor of a sufficiently general fiber is abundant.

The article provides a counterexample to a conjecture by Blocki-Zwonek.

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.

We prove the abundance theorem for semi log canonical surfaces in positive characteristic.

We prove the theorem converse to Jackson's theorem for a modulus of smoothness of the first order generalised by means of an asymmetric operator of generalised translation.

We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.

We generalize the concept of disjunction.

In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane.