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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…