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arXiv · 2603.25456

Hodge rigidity of Chern classes

Yuxiang Liu·Artan Sheshmani·Shing-Tung Yau
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Abstract

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 is represented by an irreducible subvariety. In particular, our result extends Huh's result \cite{Huh} by relaxing the regularity assumption on log resolutions. As a consequence, the conclusion holds for all cominuscule Schubert cells of classical type and for a large family of exceptional cases. We also obtain analogous results for certain Schubert varieties in symplectic Grassmannians and flag varieties.

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Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau. 2026-03-26. Hodge rigidity of Chern classes. https://arxiv.org/abs/2603.25456

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