1 citations · 1 across the 14 of their papers we have counts for
14 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 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…
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…
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…
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…
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…
Multiplicites and modifications, and singularities associated to blowing down negative vector bundles
Fusheng Deng, Yinji Li, Qunhuan Liu +1
We first present the mixed Hilbert-Samuel multiplicities of analytic local rings over \mathbb{C} as generalized Lelong numbers and further represent them as intersection numbers in…
Uniqueness of irreducible desingularization of singularities associated to negative vector bundles
Fusheng Deng, Yinji Li, Qunhuan Liu +1
We prove that the irreducible desingularization of a singularity given by the Grauert blow down of a negative holomorphic vector bundle over a compact complex manifold is unique up…
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…
Monge-Ampère type equation on compact Hermitian manifolds
Yinji Li, Genglong Lin, Xiangyu Zhou
Given a cohomology -class of compact Hermitian manifold possessing a bounded potential and fixed a model potential , motivated by Darvas-Di Nezza-Lu and L…
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…
Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a se…
CR eigenvalue estimate and Kohn-Rossi cohomology
Zhiwei Wang, Xiangyu Zhou
Let be a compact connected CR manifold with a transversal CR -action of real dimension , which is only assumed to be weakly pseudoconvex. Let be the $\overl…