3 papers
math.AG2025
Higher dimensional geometry of -jets
Lance Edward Miller, Jackson S. Morrow
In this work, we prove a quantitative version of the prime-to- Manin--Mumford conjecture for varieties with ample cotangent bundle. More precisely, let 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 non-Archimedean Green--Griffiths--Lang--Vojta conjecture for commutative algebraic groups with unipotent rank 1
Jackson S. Morrow, Paul Vojta
Let be algebraically closed field of characteristic zero, let be a commutative algebraic group over such that the linear part of is isomorphic to , an…