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The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level

Published 16 Oct 2025 in math.NT and math.AG | (2510.14497v1)

Abstract: 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 local properties of the Bruhat-Tits strata, we develop a theory of the strata splitting models. To study their global structure, we establish an explicit isomorphism between the Bruhat-Tits strata and certain (modified) Deligne-Lusztig varieties.

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Authors (2)

  1. Ioannis Zachos 
  2. Zhihao Zhao 

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