Poincaré-Type Hessian Quotient Equations

Linwei Zhang

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arXiv · 2610.24682

Poincaré-Type Hessian Quotient Equations

Linwei Zhang

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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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Linwei Zhang. 2026-10-17. Poincaré-Type Hessian Quotient Equations. https://arxiv.org/abs/2610.24682

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