10 citations · 17 across the 15 of their papers we have counts for
17 papers · 1 filter
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 function o…
Capacity Stability of Complex Monge-Ampère Equations with Moving Prescribed Singularities
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
For complex Monge-Ampère equations with moving big cohomology classes and prescribed model singularities of positive Monge-Ampère mass, we prove that, under total variation converg…
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…
Log truncated threshold and zero mass conjecture
Fusheng Deng, Yinji Li, Qunhuan Liu +2
For plurisubharmonic functions and lying in the Cegrell class of and respectively such that the Lelong number of at the origin vanishes, w…
On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds
Yinji Li, Zhiwei Wang, Xiangyu Zhou
Let be a compact Hermitian manifold of complex dimension . Let be a smooth real closed form such that there exists a function $ρ\in \mbox{PSH}(X,β)\cap L^{\i…
A note on Demailly's transcendental Morse inequalities conjecture
Yinji Li, Zhiwei Wang, Xiangyu Zhou
Let be an -dimensional compact Hermitian manifold with a pluriclosed Hermitian metric, i.e. . Let be two nef clas…