17 citations · 43 across the 13 of their papers we have counts for
5 papers · 1 filter
Singular cscK metrics on smoothable varieties
Chung-Ming Pan, Tat Dat Tô, Antonio Trusiani
We prove the lower semi-continuity of the coercivity threshold of Mabuchi functional along a degenerate family of normal compact Kähler varieties with klt singularities. Moreover,…
Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
Eleonora Di Nezza, Stefano Trapani, Antonio Trusiani
In this note, we generalize the notion of entropy for potentials in a relative full Monge-Ampère mass , for a model potential . We then investigate stabili…
Kähler-Einstein metrics with positive curvature near an isolated log terminal singularity
Vincent Guedj, Antonio Trusiani, Sébastien Boucksom
We analyze the existence of Kähler-Einstein metrics of positive curvature in the neighborhood of a germ of a log terminal singularity . This boils down to solve a Dirichlet…
Kähler-Einstein metrics on families of Fano varieties
Chung-Ming Pan, Antonio Trusiani
Given a one-parameter family of -Fano varieties such that the central fibre admits a unique Kähler-Einstein metric, we provide an analytic method to show that the neigh…
A relative Yau-Tian-Donaldson conjecture and stability thresholds
Antonio Trusiani
Generalizing Fujita-Odaka invariant, we define a function on a set of generalized -divisors over a smooth Fano variety. This allows us to provide a new characterizatio…