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math.DG2026
Parabolic Bogomolov--Gieseker Inequality and Pluriharmonic Metrics on Regular Parabolic Higgs Sheaves over Compact Kähler Manifolds
Tianshu Jiang, Jiayu Li
We prove a parabolic Bogomolov--Gieseker inequality for stable regular parabolic Higgs sheaves on a compact Kähler manifold \((X,ω)\) equipped with a simple normal crossing divisor…
math.DG2025
Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on Kähler manifolds
Tianshu Jiang, Jiayu Li
In this paper, we study the Kobayashi-Hitchin correspondence in the setting of parabolic sheaves with a simple normal crossing divisor over a compact Kähler manifold using the meth…