17 citations · 43 across the 13 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.AG2026
On the transcendental Yau-Tian-Donaldson Conjecture
Antonio Trusiani
We prove the (uniform) Yau-Tian-Donaldson Conjecture for transcendental Kähler classes in the case of trivial automorphisms. Indeed, we show the existence of Special Kähler Fujita…
math.DG2026
Continuous solutions to the quaternionic Monge-Ampère equation on locally flat HKT manifolds
Giovanni Gentili, Antonio Trusiani, Luigi Vezzoni
We prove that on a compact locally flat HKT manifold the quaternionic Monge--Ampère equation always has a unique continuous solution. This provides new evidence for the Conjecture…