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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…