Add to ORKGThis paper resolves several outstanding questions regarding the Minimal Model Program for klt threefolds in mixed characteristic. Namely termination for pairs which are not pseudo-effective, finiteness of minimal models and the Sarkisov Program.Comment: V2 - Results extended to the case of purely positive characteristic. Some proofs and statements clarifie
In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $\mat...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
We construct reduction and wall-crossing morphisms between the moduli spaces of stable pairs as the ...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are g...
We show that minimal models of $\mathbb{Q}$-factorial NQC log canonical generalised pairs exist, ass...
In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X,...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
In this dissertation we explore the birational geometry of higher-dimensional algebraic varieties i...
We show that many classical results of the minimal model programme do not hold over an algebraically...
Abstract. In this paper, we discuss a proof of existence of log minimal models or Mori fibre spaces ...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
We establish the relative minimal model program with scaling for projective morphisms of quasi-excel...
In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $\mat...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
We construct reduction and wall-crossing morphisms between the moduli spaces of stable pairs as the ...
This dissertation explores the Minimal Model Program (MMP) in positive and mixed characteristic in ...
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue cha...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are g...
We show that minimal models of $\mathbb{Q}$-factorial NQC log canonical generalised pairs exist, ass...
In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X,...
We show that minimal models of log canonical pairs exist, assuming the existence of minimal models o...
In this dissertation we explore the birational geometry of higher-dimensional algebraic varieties i...
We show that many classical results of the minimal model programme do not hold over an algebraically...
Abstract. In this paper, we discuss a proof of existence of log minimal models or Mori fibre spaces ...
Motivated by the question of properness of the moduli space of stable surfaces in mixed characterist...
We establish the relative minimal model program with scaling for projective morphisms of quasi-excel...
In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $\mat...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
We construct reduction and wall-crossing morphisms between the moduli spaces of stable pairs as the ...