20 citations · 61 across the 23 of their papers we have counts for
25 papers
Invariance of plurigenera for Kähler families with nef canonical bundles
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
Let be a proper holomorphic submersion from a Kähler manifold . We prove that, if is nef for every , then …
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…
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…
Curvature strict positivity of direct image bundles associated to pseudoconvex families of domains
Fusheng Deng, Jinjin Hu, Xiangsen Qin
We consider the curvature strict positivity of the direct image bundle associated to a pseudoconvex family of bounded domains. The main result is that the curvature of the direct i…
Linear isometric invariants of bounded domains
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We introduce two new conditions for bounded domains, namely -completeness and boundary blow down type, and show that, for two bounded domains and that are -co…
Characterization of Curvature positivity of Riemannian metrics on flat vector bundles
Fusheng Deng, Xujun Zhang
We give a characterization of Nakano positivity of Riemannian flat vector bundles over bounded domains in terms of solvability of the equation with certa…
Curvature positivity of invariant direct images of Hermitian vector bundles
Fusheng Deng, Jinjin Hu, Weiwen Jiang
We prove that the invariant part, with respect to a compact group action satisfying certain condition, of the direct image of a Nakano positive Hermitian holomorphic vector bundle…
Positivity of holomorphic vector bundles in terms of -conditions of
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
We study the positivity properties of Hermitian (or even Finsler) holomorphic vector bundles in terms of -estimates of and -extensions of holomorphic objec…
Hamiltonian Carleman approximation and the density property for coadjoint orbits
Fusheng Deng, Erlend Fornæss Wold
For a complex Lie group with a real form , we prove that any Hamiltionian automorphism of a coadjoint orbit of whose connected components…
Characterizations of plurisubharmonic functions
Fusheng Deng, Jiafu Ning, Zhiwei Wang
We give characterizations of (quasi-)plurisubharmonic functions in terms of -estimates of and -extensions of holomorphic functions.
Linear invariants of complex manifolds and their plurisubharmonic variations
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
For a bounded domain and a real number , we denote by the space of integrable holomorphic functions on , equipped with the - pseudonorm. We prove th…
A new proof of Kiselman's minimum principle for plurisubharmonic functions
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
We give a new proof of Kiselman's minimum principle for plurisubharmonic functions, based on Ohsawa-Takegoshi extension theorem.
New characterizations of plurisubharmonic functions and positivity of direct image sheaves
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
We give new characterizations of plurisubharmonic functions and Griffiths positivity of holomorphic vector bundles with singular Finsler metrics. As applications, we present a diff…
Flat bundles over some compact complex manifolds
Fusheng Deng, John Erik Fornæss
We construct examples of flat fiber bundles over the Hopf surface such that the total spaces have no pseudoconvex neighborhood basis, admit a complete Kähler metric, or are hyperco…
On biholomorphisms between bounded quasi-Reinhardt domains
Fusheng Deng, Feng Rong
In this paper, we define what is called a quasi-Reinhardt domain and study biholomorphisms between such domains. We show that all biholomorphisms between two bounded quasi-Reinhard…
Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces
Fusheng Deng, John Erik Fornaess, Erlend Fornaess Wold
We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a b…
Properties of squeezing functions and global transformations of bounded domains
Fusheng Deng, Qi'an Guan, Liyou Zhang
The central purpose of the present paper is to study boundary behavior of squeezing functions on bounded domains. We prove that the squeezing function of a strongly pseudoconvex do…
Fermionic gluing principle of the topological vertex
Fusheng Deng, Jian Zhou
We will establish the fermionic gluing principle of the topological vertex, that is, provided the framed ADKMV conjecture, the generating functions of the Gromov-Witten invariants…
Properties of squeezing functions and geometry of bounded domains
Fusheng Deng, Qi'an Guan, Liyou Zhang
In this article we continue the study of properties of squeezing functions and geometry of bounded domains. The limit of squeezing functions of a sequence of bounded domains is stu…
On fermionic representation of the Gromov-Witten invariants of the resolved Conifold
Fusheng Deng, Jian Zhou
We prove that the fermionic form of the generating function of the Gromov-Witten invariants of the resolved conifold is a Bogoliubov transform of the fermionic vacuum; in particula…
On fermionic representation of the framed topological vertex
Fusheng Deng, Jian Zhou
The Gromov-Witten invariants of \mathbb{C}^3 with branes is encoded in the topological vertex which has a very complicated combinatorial expression. A simple formula for the topolo…