Xiangyu Zhou

activity

20192026

most citedCR eigenvalue estimate and Kohn-Rossi cohomology

1 citations · 1 across the 14 of their papers we have counts for

collaborators

Showing 2025Show all

5 papers · 1 filter

math.CV2025

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…

math.CV2025

A Newton-Okounkov Body Viewpoint on the SOS Conjecture

Zhiwei Wang, Chenlong Yue, Xiangyu Zhou

Let $z \in C^{n}$ be the complex coordinates on $C^{n}$ , and $A (z, z ˉ)$ be a real-valued Hermitian polynomial. The famous Ebenfelt's SOS conjecture asks for the minim…

math.CV2025

Macaulay representation of the prolongation matrix and the SOS conjecture

Zhiwei Wang, Chenlong Yue, Xiangyu Zhou

Let $z \in C^{n}$ , and let $A (z, z ˉ)$ be a real valued diagonal bihomogeneous Hermitian polynomial such that $A (z, z ˉ) ∥ z ∥^{2}$ is a sum of squares, where $∥ z ∥$ den…

math.CV2025

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 $L$ over a compact complex space is a quadratic transform if and only if $k_{0} L^{*}$ is very ample and $(k_0+1…

math.CV2025

Log truncated threshold and zero mass conjecture

Fusheng Deng, Yinji Li, Qunhuan Liu +2

For plurisubharmonic functions $φ$ and $ψ$ lying in the Cegrell class of $B^{n}$ and $B^{m}$ respectively such that the Lelong number of $φ$ at the origin vanishes, w…