Jackson S. Morrow

collaborators

4 papers

math.AG2025

Higher dimensional geometry of $p$ -jets

Lance Edward Miller, Jackson S. Morrow

In this work, we prove a quantitative version of the prime-to- $p$ Manin--Mumford conjecture for varieties with ample cotangent bundle. More precisely, let $A$ be an abelian variety…

math.AG2025

Global pluripotential theory for adelic line bundles

Jackson S. Morrow

In this work, we relate recent work of Yuan--Zhang and Song on adelic line bundles over quasi-projective arithmetic varieties to recent advances in pluripotential theory on global…

math.AG2025

The Green--Griffiths--Lang--Vojta conjecture for commutative algebraic groups with unipotent rank 1

Jackson S. Morrow, Paul Vojta

Let $k$ be algebraically closed field of characteristic zero, let $G$ be a commutative algebraic group over $k$ such that the linear part of $G$ is isomorphic to $G_{a}$ , an…

math.AG2024

Connections between K-stability and Vojta's conjecture

Jackson S. Morrow, Yueqiao Wu

In this note, we use recent advances concerning the K-stability of $Q$ -Fano varieties to provide settings for which Vojta's conjecture holds.

Higher dimensional geometry of p-jets

Global pluripotential theory for adelic line bundles

The Green--Griffiths--Lang--Vojta conjecture for commutative algebraic groups with unipotent rank 1

Connections between K-stability and Vojta's conjecture

Higher dimensional geometry of $p$ -jets