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math.NT2025
The basic locus of regular ramified unitary Rapoport-Zink spaces at vertex-stabilizer level
Ioannis Zachos, Zhihao Zhao
We construct the Bruhat-Tits stratification of the reduced basic locus of regular ramified unitary Rapoport-Zink spaces of signature at vertex-stabilizer level. To st…
math.NT2025
The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level
Ioannis Zachos, Zhihao Zhao
We construct the Bruhat-Tits stratification of the ramified unitary splitting Rapoport-Zink space, with the level being the stabilizer of a vertex lattice. To determine certain loc…
math.NT2025★ 1 cited
On the geometry of splitting models
S. Bijakowski, I. Zachos, Z. Zhao
We consider Shimura varieties associated to a unitary group of signature where is even. For these varieties, by using the spin splitting models from Zachos-Zhao, we c…