5 citations · 5 across the 6 of their papers we have counts for
9 papers · 1 filter
Baily--Borel compactifications of period images and the b-semiampleness conjecture
Benjamin Bakker, Stefano Filipazzi, Mirko Mauri +1
We address two questions related to the semiampleness of line bundles arising from Hodge theory. First, we prove there is a functorial compactification of the image of a period map…
Boundedness of some fibered K-trivial varieties
Philip Engel, Stefano Filipazzi, François Greer +2
We prove that irreducible Calabi-Yau varieties of a fixed dimension, admitting a fibration by abelian varieties or primitive symplectic varieties of a fixed analytic deformation cl…
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…
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…
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…
Topological mirror symmetry for rank two character varieties of surface groups
Mirko Mauri
The moduli spaces of flat - and -connections are known to be singular SYZ-mirror partners. We establish the equality of Hodge numbers of their inters…