Add to ORKGIn this paper, we investigate the boundedness of good minimal models with intermediate Kodaira dimensions, which has a natural Iitaka fibration to the canonical models. We prove that good minimal models are bounded modulo crepant birational when the base (canonical models) are bounded and the general fibers of the Iitaka fibration are in a bounded family of polarized Calabi-Yau pairs.Comment: 22 pages, comments welcom
One of the main research programs in Algebraic Geometry is the classification of varieties. Towards ...
We show that every connected compact or bordered Riemann surface contains a Cantor set whose complem...
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese di...
It is conjectured that the canonical models of varieties (not of general type) are bounded when the ...
I will discuss joint work with Gabriele Di Cerbo on boundedness of Calabi-Yau pairs. Given an ellip...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Assuming the Morrison-Kawamata cone conjecture for the generic fiber of a Calabi-Yau fibration and t...
For every smooth complex projective variety W of dimension d and nonnegative Kodaira dimension, we s...
In previous work, we have shown that elliptic fibrations with two sections, or Mordell-Weil rank one...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
We study K-stability of algebraic fiber spaces. In this paper, we prove that Calabi-Yau fibrations o...
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threef...
We prove the existence of minimal models for fibrations between dendroidal sets in the model structu...
It was shown by Diaconescu, Donagi and Pantev that Hitchin systems of type ADE are isomorphic to cer...
One of the main research programs in Algebraic Geometry is the classification of varieties. Towards ...
We show that every connected compact or bordered Riemann surface contains a Cantor set whose complem...
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese di...
It is conjectured that the canonical models of varieties (not of general type) are bounded when the ...
I will discuss joint work with Gabriele Di Cerbo on boundedness of Calabi-Yau pairs. Given an ellip...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Assuming the Morrison-Kawamata cone conjecture for the generic fiber of a Calabi-Yau fibration and t...
For every smooth complex projective variety W of dimension d and nonnegative Kodaira dimension, we s...
In previous work, we have shown that elliptic fibrations with two sections, or Mordell-Weil rank one...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
We study K-stability of algebraic fiber spaces. In this paper, we prove that Calabi-Yau fibrations o...
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threef...
We prove the existence of minimal models for fibrations between dendroidal sets in the model structu...
It was shown by Diaconescu, Donagi and Pantev that Hitchin systems of type ADE are isomorphic to cer...
One of the main research programs in Algebraic Geometry is the classification of varieties. Towards ...
We show that every connected compact or bordered Riemann surface contains a Cantor set whose complem...
In this short article we show that if $(X, B)$ is a compact K\"ahler klt pair of maximal Albanese di...