3 papers
math.AG2025
Bogomolov type inequalities and Frobenius semipositivity
Hao Max Sun
We prove Bogomolov type inequalities for high Chern characters of semistable sheaves satisfying certain Frobenius semipositivity. The key ingredients in the proof are a high rank g…
math.AG2024
A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic
Mao Sheng, Hao Sun, Jianping Wang
In this paper, we prove a nonabelian Hodge correspondence for principal bundles on a smooth variety in positive characteristic, which generalizes the Ogus-Vologodsky correspond…
math.AG2024
On the Existence of Gr-semistable Filtrations of Orthogonal/Symplectic -connections
Mao Sheng, Hao Sun, Jianping Wang
In this paper, we study the existence of gr-semistable filtrations of orthogonal/symplectic -connections. It is known that gr-semistable filtrations always exist for flat bundl…