PreprintCC BY 4.0HAL
Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds
Abstract
We establish an a priori C2-estimate for complex Hessian equations on compact Hermitian manifolds. As an application, we obtain a regularity result for solutions to complex Hessian equation with densities of the right hand side depending on the solution. This generalizes Székelyhidi--Tosatti's result to the setting of complex Hessian equations on Hermitian manifolds.
Related
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BibTeX
@misc{fang2026smoothness,
title = {{Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds}},
author = {Yuetong Fang},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06719},
eprint = {2610.06719},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05781357v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds
AU - Yuetong Fang
PY - 2026
DA - 2026/10/05
PB - HAL
DO - 10.48550/arxiv.2610.06719
UR - https://hal.science/hal-05781357v1
AB - We establish an a priori C^2-estimate for complex Hessian equations on compact Hermitian manifolds. As an application, we obtain a regularity result for solutions to complex Hessian equation with densities of the right hand side depending on the solution. This generalizes Székelyhidi--Tosatti's result to the setting of complex Hessian equations on Hermitian manifolds.
ER -