We use Koll\'ar's gluing theory to prove the contraction theorem for generalized pairs. In particular, we show that we can run the MMP for any generalized log canonical pairs.Comment: 15 page
dissertationThe focus of this dissertation is on birational geometry in characteristic zero. In part...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We discuss the role of subdivisions of tropical moduli spaces in logarithmic Gromov-Witten theory, a...
We establish a Koll\'ar-type gluing theory for generalized log canonical pairs associated with crepa...
We show that given any two minimal models of a generalized lc pair, there exist small birational mod...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We show that minimal models of $\mathbb{Q}$-factorial NQC log canonical generalised pairs exist, ass...
We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments...
We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for modu...
We prove that the log canonical ring of a projective log canonical pair in Kodaira dimension two is ...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X,...
We study log Calabi--Yau pairs of the form $(\mathbb{P}^3,\Delta)$, where $\Delta$ is a quartic surf...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
In a general $L^2$ extension theorem of Demailly for log canonical pairs, the $L^2$ criterion with r...
dissertationThe focus of this dissertation is on birational geometry in characteristic zero. In part...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We discuss the role of subdivisions of tropical moduli spaces in logarithmic Gromov-Witten theory, a...
We establish a Koll\'ar-type gluing theory for generalized log canonical pairs associated with crepa...
We show that given any two minimal models of a generalized lc pair, there exist small birational mod...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We show that minimal models of $\mathbb{Q}$-factorial NQC log canonical generalised pairs exist, ass...
We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments...
We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for modu...
We prove that the log canonical ring of a projective log canonical pair in Kodaira dimension two is ...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X,...
We study log Calabi--Yau pairs of the form $(\mathbb{P}^3,\Delta)$, where $\Delta$ is a quartic surf...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
In a general $L^2$ extension theorem of Demailly for log canonical pairs, the $L^2$ criterion with r...
dissertationThe focus of this dissertation is on birational geometry in characteristic zero. In part...
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of K...
We discuss the role of subdivisions of tropical moduli spaces in logarithmic Gromov-Witten theory, a...