3 papers
math.AG2026
Low degree points on singular plane curves
Zachary R. Canale, Nathan Chen, Zoe Curewitz +4
The purpose of this paper is to study low degree points on plane curves. We prove results analogous to those of Debarre and Klassen for singular plane curves with a finite number $…
math.AC2025
On deformation of perfectoid purity in Gorenstein domains
Benjamin Baily, Karina Dovgodko, Austyn Simpson +1
If is a complete local ring of mixed characteristic and is an -pure Gorenstein domain, we find a sufficient condition for to be perfectoid…
math.AC2024
On virtual resolutions of points in a product of projective spaces
Isidora Bailly-Hall, Christine Berkesch, Karina Dovgodko +3
For finite sets of points in , we produce short virtual resolutions, as introduced by Berkesch--Erman--Smith. We first intersect with a sufficient…