Title from PDF of title page (University of Missouri--Columbia, viewed on July 29, 2013).The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.Dissertation advisor: Dr. Qi ZhangIncludes bibliographical references.Vita.Ph. D. University of Missouri-Columbia, 2012."July 2012."We shall study and discuss some important properties of the projective varieties with nef anticanonical bundles and nef tangent bundles. And we shall review some background and history about the subject. Then we shall use weak positivity theorem to give a new proof of a theorem of Olivier Debarre without using mod p reduction, which gives an affirmat...
smooth projective variety of dimension n. Denote by NS(X)Q and NS(X)R the Nerson-Severi groups of X ...
We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)...
This thesis is devoted to the study of the geometry of complex projective manifolds with positive an...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.47Cataloged f...
Abstract. The nef cone of a projective variety Y is an important and often elusive invariant. In thi...
X is a projective 3-fold with canonical singularities, k = C; the terminology will be explained in 0...
In this paper we study the global structure of projective threefolds X whose anticanonical bundle K ...
38 pagesInternational audienceWe prove that any nef b-divisor class on a projective variety is a dec...
In this paper, we establish a structure theorem for projective klt pairs $(X,\Delta)$ with nef anti-...
Let X be a simply connected projective manifold with nef anticanonical bundle. We prove that X is a ...
Cette thèse est consacrée à l'étude de la géométrie des variétés complexes projectives à fibré antic...
We investigate effectiveness and ampleness of adjoint divisors of the form $aL+bK_X$, where $L$ is a...
We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are...
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a ...
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness o...
smooth projective variety of dimension n. Denote by NS(X)Q and NS(X)R the Nerson-Severi groups of X ...
We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)...
This thesis is devoted to the study of the geometry of complex projective manifolds with positive an...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.47Cataloged f...
Abstract. The nef cone of a projective variety Y is an important and often elusive invariant. In thi...
X is a projective 3-fold with canonical singularities, k = C; the terminology will be explained in 0...
In this paper we study the global structure of projective threefolds X whose anticanonical bundle K ...
38 pagesInternational audienceWe prove that any nef b-divisor class on a projective variety is a dec...
In this paper, we establish a structure theorem for projective klt pairs $(X,\Delta)$ with nef anti-...
Let X be a simply connected projective manifold with nef anticanonical bundle. We prove that X is a ...
Cette thèse est consacrée à l'étude de la géométrie des variétés complexes projectives à fibré antic...
We investigate effectiveness and ampleness of adjoint divisors of the form $aL+bK_X$, where $L$ is a...
We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are...
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a ...
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness o...
smooth projective variety of dimension n. Denote by NS(X)Q and NS(X)R the Nerson-Severi groups of X ...
We prove that if $(X,\Delta)$ is a threefold pair with mild singularities such that ${-}(K_X+\Delta)...
This thesis is devoted to the study of the geometry of complex projective manifolds with positive an...