Connected components of special cycles on Shimura varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909600958119936 |
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| author | Madapusi, Keerthi |
| author_facet | Madapusi, Keerthi |
| contents | I use methods of Chai-Hida and ordinary $p$-Hecke correspondences to study the set of irreducible components of special fibers of special cycles of sufficiently low codimension in integral models of GSpin Shimura varieties, and apply this to prove irreducibility results for the special fibers of the moduli of polarized K3 surfaces. These results are also applied in joint work with Howard on the modularity of generating series of higher codimension cycles on GSpin Shimura varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Connected components of special cycles on Shimura varieties Madapusi, Keerthi Number Theory Algebraic Geometry 11S99, 14F30, 14L05 I use methods of Chai-Hida and ordinary $p$-Hecke correspondences to study the set of irreducible components of special fibers of special cycles of sufficiently low codimension in integral models of GSpin Shimura varieties, and apply this to prove irreducibility results for the special fibers of the moduli of polarized K3 surfaces. These results are also applied in joint work with Howard on the modularity of generating series of higher codimension cycles on GSpin Shimura varieties. |
| title | Connected components of special cycles on Shimura varieties |
| topic | Number Theory Algebraic Geometry 11S99, 14F30, 14L05 |
| url | https://arxiv.org/abs/2505.02084 |