Chenlong Yue

collaborators

3 papers

math.CV2026

A Proof of Ebenfelt's weak SOS Conjecture

Zhiwei Wang, Chenlong Yue, Xiangyu Zhou

We prove Ebenfelt's SOS conjecture, which implies the Huang--Ji--Yin gap conjecture.

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…