15 citations · 23 across the 10 of their papers we have counts for
11 papers
On the classification of toric -Fano manifolds: generic -bundles
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +4
In this paper, we advance the classification of toric 2-Fano manifolds by continuing the investigation of the minimal projective bundle dimension int…
Monge-Ampère measures on balanced polyhedral spaces
Ana María Botero, Enrica Mazzon, Léonard Pille-Schneider
We study classes of convex functions on balanced polyhedral spaces and establish various structural properties, including a compactness theorem for polyhedrally plurisubharmonic fu…
Terminalizations of quotients of Fano varieties of lines on cubic fourfolds
Enrica Mazzon
We classify projective terminalizations of quotients of Fano varieties of lines on smooth cubic fourfolds by finite groups of symplectic automorphisms of the underlying cubic. We c…
Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2
Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--Ampère operator on the boundary of a simplex. This can be formulated in terms of optimal trans…
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…
The minimal projective bundle dimension and toric -Fano manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
Motivated by the problem of classifying toric -Fano manifolds, we introduce a new invariant for smooth projective toric varieties, the minimal projective bundle dimension. This…
Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces
Jakob Hultgren, Mattias Jonsson, Enrica Mazzon +1
For a class of maximally degenerate families of Calabi-Yau hypersurfaces of complex projective space, we study associated non-Archimedean and tropical Monge-Ampère equations, takin…
Higher Fano Manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
In this paper we address Fano manifolds with positive higher Chern characters. They are expected to enjoy stronger versions of several of the nice properties of Fano manifolds. For…
Toric geometry and integral affine structures in non-archimedean mirror symmetry
Enrica Mazzon, Léonard Pille-Schneider
We study integral dlt models of a proper C((t))-variety X along a toric stratum of the special fiber. We prove that the associated Berkovich retraction - from the non-archimedean a…
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…
The Essential Skeleton of a product of degenerations
Morgan Brown, Enrica Mazzon
We study the problem of how the dual complex of the special fiber of an snc degeneration $\cX_R$ changes under products. We view the dual complex as a skeleton inside the Berkovich…