PreprintarXiv licencearXiv
Poincaré-Type Hessian Quotient Equations
Abstract
Inspired by the two-parameter continuity-path approach of Chen and Xu, we employ a modified continuity path to characterize the solvability of the Hessian quotient equation for Kähler metrics with Poincaré-type singularities along a divisor D, allowing simple normal crossings and self-intersections.
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BibTeX
@misc{zhang2026poincarétype,
title = {{Poincaré-Type Hessian Quotient Equations}},
author = {Linwei Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24682},
eprint = {2610.24682},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24682},
}
RIS
TY - UNPB
TI - Poincaré-Type Hessian Quotient Equations
AU - Linwei Zhang
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24682
UR - https://arxiv.org/abs/2610.24682
AB - Inspired by the two-parameter continuity-path approach of Chen and Xu, we employ a modified continuity path to characterize the solvability of the Hessian quotient equation for Kähler metrics with Poincaré-type singularities along a divisor D, allowing simple normal crossings and self-intersections.
ER -