Related papers: Termination of 4-fold canonical flips

The definition of the weighted version of difficulty in "Termination of 4-fold canonical flips" contains some errors. In this paper, we describe these errors and how to correct them. Anyway, any sequence of 4-fold canonical flips…

Let $(X,\Delta)$ be a log canonical $4$-fold over an algebraically closed field of characteristic zero. We prove that any sequence of $(K_X+\Delta)$-flips terminates.

We prove the termination of 4-fold log flips for klt pairs of Kodaira dimension $\kappa\ge 2$.

We prove the termination of flips for 4-dimensional pseudo-effective NQC log canonical generalized pairs. As main ingredients, we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs, and show that the…

We prove that small deformations of canonical singularities are canonical.

We prove that compact topological 4-manifolds can be effectively presented by a finite amount of data.

A classification theorem for 4-dimensional conformally flat QK3-manifolds is proved.

We prove the existence of flips in dimension n, contingent on the termination of real flips in dimension n-1.

We find an explicit upper bound for the anticanonical volume of Fano 4-folds with canonical singularities.

We prove the existence of a finite set of moves sufficient to relate any two representations of the same 3-manifold as a 4-fold simple branched covering of S^3. We also prove a stabilization result: after adding a fifth trivial sheet two…

In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.

We prove the finite generation of canonical rings of projective variety of general type defined over complex numbers.

We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical pair with respect to a contraction, generalising the case of…

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

We prove inversion of adjunction on log canonicity.

We prove Union-Closed sets conjecture.

We prove that any sequence of 4-dimensional log flips that begins with a klt pair (X,D) such that -(K+D) is numerically equivalent to an effective divisor, terminates. This implies termination of flips that begin with a log Fano pair and…

This is a revised version of my paper which appeared in J. Math. Sci. Univ. Tokyo. We prove that for a flipping contraction from a Gorenstein terminal 4-fold, the pull back of a general hyperplane section of the down-stair has only…

We prove the following result: Let $(X,g_0)$ be a complete, connected 4-manifold with uniformly positive isotropic curvature and with bounded geometry. Then there is a finite collection $\mathcal{F}$ of manifolds of the form $\mathbb{S}^3…

We prove divisorial canonicity of Fano double hypersurfaces of general position.