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math.AG2026
A criterion for smooth weighted blow-downs
Veronica Arena, Andrea Di Lorenzo, Giovanni Inchiostro +3
We establish a criterion for determining when a smooth Deligne-Mumford stack is a weighted blow-up. More precisely, given a smooth Deligne-Mumford stack and a Cartier…
math.AG2025
Unipotent morphisms
Daniel Bragg, Jack Hall, Siddharth Mathur
We introduce the theory of unipotent morphisms of algebraic stacks and prove a surprising local to global principle for a class of vector bundles. Two sample applications of our me…