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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.AG2023
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…