The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level
Number Theory
2025-10-17 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2510.14497,
title = {The basic locus of unitary splitting Rapoport-Zink spaces with vertex stabilizer level},
author = {Ioannis Zachos and Zhihao Zhao},
journal= {arXiv preprint arXiv:2510.14497},
year = {2025}
}
Comments
31 pp, comments welcome