3 papers
math.AG2026
Hodge rigidity of Chern classes
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
In this paper, we study the homogeneous components of the Chern--Schwartz--MacPherson (CSM) classes of Schubert cells. We prove that, under suitable conditions, each such component…
math.AG2024
Multi-rigidity of Schubert classes in partial flag varieties
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
In this paper, we study the multi-rigidity problem in rational homogeneous spaces. A Schubert class is called multi-rigid if every multiple of it can only be represented by a union…
math.AG2024
Rigid Schubert classes in partial flag varieties
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
A Schubert class is called rigid if it can only be represented by Schubert varieties. The rigid Schubert classes have been classified in Grassmannians and orthogonal Grassmannians.…