From the 1 of 10 linked papers with an AI index.
10 papers
On the extension of Kähler currents on compact complex manifolds
Jiafu Ning, Kai Pang, Haoyuan Sun +2
Let be a compact Kähler manifold and let be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every -plurisubharmonic functio…
Capacity Stability of Complex Monge-Ampère Equations with Moving Prescribed Singularities
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
The paper studies complex Monge‑Ampère equations with moving big cohomology classes and prescribed singularities, showing equivalence of convergence notions in capacity and proving…
Frobenius type positivity of Hodge bundles and applications
Hao Max Sun
We define two new Frobenius type positivity notions, -ampleness and -ampleness, for coherent sheaves, show that they are stronger than ordinary ampleness and establish…
The Cauchy-Dirichlet Problem for Complex Hessian Flows: From A Priori Estimates to Pluripotential Theory
Haoyuan Sun
We study the Cauchy--Dirichlet problem for parabolic complex Hessian equations on Hermitian manifolds and on bounded strictly m-pseudoconvex domains. In the smooth setting, we prov…
Convergence of the Chern-Ricci flow on complex minimal surfaces of general type
Haoyuan Sun
We prove uniform diameter estimates, volume non-collapsing estimates and Gromov-Hausdorff convergence for the normalized Chern-Ricci flow on smooth complex minimal surfaces of gene…
Gromov-Hausdorff limits of the Chern-Ricci flow on smooth Hermitian minimal models of general type
Haoyuan Sun
We establish uniform diameter estimates and volume non-collapsing estimates for the Chern-Ricci flow on smooth Hermitian minimal models of general type, assuming the initial metric…