From the 1 of 7 linked papers with an AI index.
7 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…
A Newton-Okounkov Body Viewpoint on the SOS Conjecture
Zhiwei Wang, Chenlong Yue, Xiangyu Zhou
Let be the complex coordinates on , and be a real-valued Hermitian polynomial. The famous Ebenfelt's SOS conjecture asks for the minim…
Macaulay representation of the prolongation matrix and the SOS conjecture
Zhiwei Wang, Chenlong Yue, Xiangyu Zhou
Let , and let be a real valued diagonal bihomogeneous Hermitian polynomial such that is a sum of squares, where den…
Degenerate Complex Hessian type equations on compact Hermitian manifolds and Applications
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
The aim of this paper is to further develop the theory of the degenerate complex Hessian equations on compact Hermitian manifolds. Building upon the generalization of the Bedford-T…
Characterization of negative line bundles whose Grauert blow-down are quadratic transforms
Fusheng Deng, Yinji Li, Qunhuan Liu +1
We show that the Grauert blow-down of a holomorphic negative line bundle over a compact complex space is a quadratic transform if and only if is very ample and $(k_0+1…