The regularity of difference divisors
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911969892630528 |
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| author | Zhu, Baiqing |
| author_facet | Zhu, Baiqing |
| contents | For a prime number $p>2$, we explain the construction of the difference divisors on the unitary Rapoport-Zink spaces of hyperspecial level and the GSpin Rapoport-Zink spaces of hyperspecial level associated to a minuscule cocharacter $μ$ and a basic element $b$. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05239 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The regularity of difference divisors Zhu, Baiqing Algebraic Geometry Number Theory For a prime number $p>2$, we explain the construction of the difference divisors on the unitary Rapoport-Zink spaces of hyperspecial level and the GSpin Rapoport-Zink spaces of hyperspecial level associated to a minuscule cocharacter $μ$ and a basic element $b$. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach. |
| title | The regularity of difference divisors |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2307.05239 |