Hodge rigidity of Chern classes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914425064128512 |
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| author | Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung |
| author_facet | Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25456 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hodge rigidity of Chern classes Liu, Yuxiang Sheshmani, Artan Yau, Shing-Tung Algebraic Geometry 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. |
| title | Hodge rigidity of Chern classes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.25456 |