collaborators

5 papers

math.AG2026

A Pluripotential-Theoretic Approach to Finiteness of Polarized Calabi--Yau Manifolds

Truong Dinh Dat

We propose a pluripotential-theoretic framework for studying finiteness questions for polarized Calabi--Yau manifolds. The central idea is to use global \(m\)-Hessian capacities as…

math.CV2026

An -Hessian approach to Yau uniformization conjecture

Truong Dinh Dat

We develop an \(m\)-Hessian approach to the construction of finite-Monge--Ampère weights on complete noncompact Kähler manifolds. Let \((M^n,g)\) be a complete noncompact Kähler ma…

math.CV2026

Relative Finite Energy Classes for Complex Hessian Equations with Prescribed Singularities

Truong Dinh Dat

Let be a bounded -hyperconvex domain and let be a fixed negative -subharmonic function. In this paper we introduce a relative finite ene…

math.AP2026

Uniform estimates for complex hessian equations on compact Hermitian manifolds

Truong Dinh Dat

We develop a pluripotential approach to complex Hessian equations on compact Hermitian manifolds. In this setting, the lack of closedness of the background metric introduces torsio…

math.AP2026

Stability and strong convergence for complex Hessian equations with data

Truong Dinh Dat

We study complex -Hessian equations on bounded hyperconvex domains with right-hand side in . The main contribution of this paper is a strong stability result for weak so…