3 papers
math.AG2026
Singularities of Foliations and Good Moduli Spaces of Algebraic Stacks
Federico Bongiorno
Drawing on the theory of Minimal Model Program singularities for foliations, we define relative canonical and log-canonical singularities for algebraic stacks with finite generic s…
math.AG2025
Regular Leaves of Singular Foliations
Federico Bongiorno
We identify a class of singular algebraic foliations whose leaves through singular points retain regularity. The proof consists in showing existence of residual gerbes for certain…
math.AG2024
A Frobenius theorem in algebraic geometry
Federico Bongiorno
We show that a formal Deligne--Mumford stack is formal-locally represented by a formal scheme. This is an analogue of Frobenius theorem for smooth foliations in any characteristic…