Work

Solvability of complex Hessian equations corresponding to right-Noetherian polynomials

Year: 2026

Type: preprint

Abstract: On compact Hermitian manifolds, we establish a framework using radial normalization for the solvability of complex Hessian equation in form type, corresponding to right-Noetherian polynomials whose coefficients may not be constant functions. The solvability of a radial normalized equation is characterized by the existence of a C-subsolution at radial slope, which extends the results of Guo-Song to this setting.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.22524

Authors: Liu, Junbang, Xu, Yulun

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222925706

Cites: 8

Cited by: 1

Related to: 10