We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)$ is nef, then the numerical class of ${-}(K_X+\Delta)$ is effective.Comment: v3: Theorems F and G are new; the paper is partly reorganised and some arguments are shortene
In this paper we prove that given a pair (X, D) of a threefold X and a boundary divisor D with mild ...
We extend the algebraic K-stability theory to projective klt pairs with a biganticanonical class. Wh...
We give a conjectural construction of Bridgeland stability conditions on the derived category of fib...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are g...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
8 pagesLet X be a smooth projective threefold, and let A be an ample line bundle such that K_X+A is ...
Title from PDF of title page (University of Missouri--Columbia, viewed on July 29, 2013).The entire ...
Let $\pi:Z\rightarrow\mathbb{P}^{n-1}$ be a general minimal $n$-fold conic bundle with a hypersurfac...
We prove that a very general nonsingular conic bundle$X\rightarrow\mathbb{P}^{n-1}$ embedded in a pr...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.47Cataloged f...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We give a criterion for a nef divisor $D$ to be semiample on a Calabi--Yau threefold $X$ when $D^3=0...
In this paper we prove that given a pair (X, D) of a threefold X and a boundary divisor D with mild ...
We extend the algebraic K-stability theory to projective klt pairs with a biganticanonical class. Wh...
We give a conjectural construction of Bridgeland stability conditions on the derived category of fib...
We classify nonrational Fano threefolds $X$ with terminal Gorenstein singularities such that $\mathr...
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are g...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
8 pagesLet X be a smooth projective threefold, and let A be an ample line bundle such that K_X+A is ...
Title from PDF of title page (University of Missouri--Columbia, viewed on July 29, 2013).The entire ...
Let $\pi:Z\rightarrow\mathbb{P}^{n-1}$ be a general minimal $n$-fold conic bundle with a hypersurfac...
We prove that a very general nonsingular conic bundle$X\rightarrow\mathbb{P}^{n-1}$ embedded in a pr...
We prove that every smooth Fano threefold from the family No 2.8 is K-stable. Such a Fano threefold ...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.47Cataloged f...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We construct families of non-toric $\mathbb{Q}$-factorial terminal Fano ($\mathbb{Q}$-Fano) threefol...
We give a criterion for a nef divisor $D$ to be semiample on a Calabi--Yau threefold $X$ when $D^3=0...
In this paper we prove that given a pair (X, D) of a threefold X and a boundary divisor D with mild ...
We extend the algebraic K-stability theory to projective klt pairs with a biganticanonical class. Wh...
We give a conjectural construction of Bridgeland stability conditions on the derived category of fib...