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PreprintCC BY-NC-SA 4.0arXiv

Solvability of complex Hessian equations corresponding to right-Noetherian polynomials

  • Junbang Liu
  • Yulun Xu
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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.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026solvability,
  title = {{Solvability of complex Hessian equations corresponding to right-Noetherian polynomials}},
  author = {Junbang Liu and Yulun Xu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22524},
  eprint = {2610.22524},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22524},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Solvability of complex Hessian equations corresponding to right-Noetherian polynomials
AU  - Junbang Liu
AU  - Yulun Xu
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22524
UR  - https://arxiv.org/abs/2610.22524
AB  - 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.
ER  -