Add to ORKGIn this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $k$ of characteristic $p > 3$ in the case of numerical dimension equals to $2$. More precisely, we prove that if $(X,B)$ be a projective lc threefold pair over $k$ such that $K_{X}+B$ is nef and $\nu(K_{X}+B)=2$, then $K_{X}+B$ is semiample
We use the canonical bundle formula for parabolic fibrations to give an inductive approach to the ge...
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threef...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive char...
Let $(X, \Delta)$ be a projective klt pair of dimension $2$ and let $L$ be a nef $\mathbb{Q}$-diviso...
Let $(X, \Delta)$ be a projective klt pair of dimension $2$ and let $L$ be a nef $\mathbb{Q}$-diviso...
52 pages, modified exposition according to changes in arXiv preprint 1304.4013Let X be a compact Kae...
this paper is to prove the abundance theorem for semi log canonical threefolds. The abundance conjec...
We prove the abundance theorem for arithmetic klt threefold pairs whose closed point have residue ch...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
AbstractWe investigate local structure of a three dimensional variety X defined over an algebraicall...
We give a criterion for a nef divisor $D$ to be semiample on a Calabi--Yau threefold $X$ when $D^3=0...
Much of the work in this dissertation is centered around the generalized abundance conjecture of Laz...
We use the canonical bundle formula for parabolic fibrations to give an inductive approach to the ge...
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threef...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...
In this paper, we prove the abundance conjecture for threefolds over an algebraically closed field $...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive char...
Let $(X, \Delta)$ be a projective klt pair of dimension $2$ and let $L$ be a nef $\mathbb{Q}$-diviso...
Let $(X, \Delta)$ be a projective klt pair of dimension $2$ and let $L$ be a nef $\mathbb{Q}$-diviso...
52 pages, modified exposition according to changes in arXiv preprint 1304.4013Let X be a compact Kae...
this paper is to prove the abundance theorem for semi log canonical threefolds. The abundance conjec...
We prove the abundance theorem for arithmetic klt threefold pairs whose closed point have residue ch...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
AbstractWe investigate local structure of a three dimensional variety X defined over an algebraicall...
We give a criterion for a nef divisor $D$ to be semiample on a Calabi--Yau threefold $X$ when $D^3=0...
Much of the work in this dissertation is centered around the generalized abundance conjecture of Laz...
We use the canonical bundle formula for parabolic fibrations to give an inductive approach to the ge...
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threef...
We prove that the abundance conjecture holds on a variety $X$ with mildsingularities if $X$ has many...