boundary value problems 1complex hessian equation 1gauduchon class 1hessian quotient 1kähler manifolds 1numerical criterion 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
A Numerical Criterion for the 2-Hessian Equation on Compact Kähler Manifolds
Jixiang Fu, Dekai Zhang, Ziyi Zhang
The paper establishes a Nakai–Moishezon‑type numerical criterion for the complex 2‑Hessian equation on compact Kähler manifolds, showing it yields a Gauduchon class and, in complex…
math.DG2026
Limiting behavior of a class of Hermitian Yang-Mills metrics, II: exponential decay
Jixiang Fu
In this note, the geometric set-up, the rank two bundle, the local HYM ansatz, and the global gluing construction are the same as in the preceding work \cite{Fu}. The new point is…
math.DG2026
The Critical LYZ Equation in Kähler Geometry
Jixiang Fu, Shing-Tung Yau, Dekai Zhang
We establish the existence of smooth solutions for the LYZ equation at the critical phase , thereby solving the critical case of a problem posed by Collins-Jaco…