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math.AG2024
Perverse-Hodge octahedron
Mirko Mauri
The perverse-Hodge octahedron is a 3D enhancement of the Hodge diamond of a compact hyperkähler manifold. Its existence is equivalent to Nagai's conjecture, which holds for all kno…
math.AG2024
Birational complexity and dual complexes
Mirko Mauri, Joaquín Moraga
We introduce the notion of birational complexity of a log Calabi-Yau pair. This invariant measures how far the log Calabi-Yau pair is to being birational to a toric pair. We study…
math.AG2024★ 3 cited
Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms
Valeria Bertini, Annalisa Grossi, Mirko Mauri +1
Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes…