PreprintCC BY-NC-SA 4.0arXiv
Auxiliary Hessian Equations
Abstract
We propose k-Hessian equations as auxiliary equations for degenera- tions of Kähler classes to nef classes of numerical dimension k. As proof-of-concept results, we provide a uniform mean-value inequality and uniform à priori estimates for Hessian equa- tions.
Related
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- Hessian Estimates for Convex Solutions of Hessian Quotient Equations via Compactness
- Interior Hessian estimates for k-convex solutions of Hessian quotient equations
- Poincaré-Type Hessian Quotient Equations
BibTeX
@misc{scheffler2026auxiliary,
title = {{Auxiliary Hessian Equations}},
author = {Johannes G. Scheffler},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15866},
eprint = {2610.15866},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15866},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Auxiliary Hessian Equations
AU - Johannes G. Scheffler
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15866
UR - https://arxiv.org/abs/2610.15866
AB - We propose k-Hessian equations as auxiliary equations for degenera- tions of Kähler classes to nef classes of numerical dimension k. As proof-of-concept results, we provide a uniform mean-value inequality and uniform à priori estimates for Hessian equa- tions.
ER -