Dat Dinh Truong

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math.CV2026

An $m$ -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 $Ω \subset C^{n}$ be a bounded $m$ -hyperconvex domain and let $ψ \in S H_{m} (Ω)$ be a fixed negative $m$ -subharmonic function. In this paper we introduce a relative finite ene…

An m-Hessian approach to Yau uniformization conjecture

Relative Finite Energy Classes for Complex Hessian Equations with Prescribed Singularities

An $m$ -Hessian approach to Yau uniformization conjecture