5 citations · 10 across the 16 of their papers we have counts for
18 papers
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…
Homological Bondal-Orlov localization conjecture for rational singularities
Mirko Mauri, Evgeny Shinder
Given a resolution of rational singularities over a field of characteristic zero we use a Hodge-theoretic argument to prove that the image of the functor…
Index of coregularity zero log Calabi-Yau pairs
Stefano Filipazzi, Mirko Mauri, Joaquín Moraga
In this article, we study the index of log Calabi--Yau pairs of coregularity 0. We show that , where is the Weil index of . This is in contrast…
Combinatorial decomposition theorem for Hitchin systems via zonotopes
Mirko Mauri, Luca Migliorini, Roberto Pagaria
We determine the summands of the decomposition theorem for the Hitchin system for , in arbitrary degree, over the locus of reduced spectral curves. The key ingredien…
Hodge-to-singular correspondence for reduced curves
Mirko Mauri, Luca Migliorini
We study the summands of the decomposition theorem for the Hitchin system for , in arbitrary degree, over the locus of reduced spectral curves. A key ingredient is a…
Lagrangian fibrations
Daniel Huybrechts, Mirko Mauri
We review the theory of Lagrangian fibrations of hyperkähler manifolds as initiated by Matsushita. We also discuss more recent work of Shen-Yin and Harder-Li-Shen-Yin. Occasionally…
On type II degenerations of hyperkähler manifolds
Daniel Huybrechts, Mirko Mauri
We give a simple argument to prove Nagai's conjecture for type II degenerations of compact hyperkähler manifolds and cohomology classes of middle degree. Under an additional assump…
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…
Intersection cohomology of rank two character varieties of surface groups
Mirko Mauri
For we compute the intersection E-polynomials and the intersection Poincaré polynomials of the -character variety of a compact…
P=W conjectures for character varieties with symplectic resolution
Camilla Felisetti, Mirko Mauri
We establish P=W and PI=WI conjectures for character varieties with structural group and which admit a symplectic resolution, i.e. for genus 1 and a…
Constructing local models for Lagrangian torus fibrations
Jonathan David Evans, Mirko Mauri
We give a construction of Lagrangian torus fibrations with controlled discriminant locus on certain affine varieties. In particular, we apply our construction in the following ways…
On the geometric P=W conjecture
Mirko Mauri, Enrica Mazzon, Matthew Stevenson
We formulate the geometric P=W conjecture for singular character varieties. We establish it for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus…
G-birational superrigidity of del Pezzo surfaces of degree 2 and 3
Lucas das Dores, Mirko Mauri
Any minimal Del Pezzo G-surface S of degree smaller than 3 is G-birationally rigid. We classify those which are G-birationally superrigid and for those which fail to be so, we desc…
The dual complex of log Calabi-Yau pairs on Mori fibre spaces
Mirko Mauri
In this paper we show that the dual complex of a dlt log Calabi-Yau pair on a Mori fibre space is a finite quotient of a sphere, provided that either the Pica…