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arXiv · 2307.05239

The regularity of difference divisors

Baiqing Zhu
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Abstract

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 $\mu$ 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.

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Baiqing Zhu. 2023-07-11. The regularity of difference divisors. https://arxiv.org/abs/2307.05239

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