3 papers
math.AG2026
Derived jet and arc spaces
Roi Docampo, Lance Edward Miller, C. Eric Overton-Walker
We study jet schemes and arc spaces in the context of derived algebraic geometry. Explicitly, we consider the jet and arc functors in the category of schemes and study their animat…
math.AC2026
A Buchsbaum theory for Frobenius closure
Kriti Goel, Kyle Maddox, Lance Edward Miller +2
We give a partial characterization for when the difference is independent of the choice of parameter ideal in a…
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…