At arbitrary parahoric level, the reduced special fiber of the GU(1,n−1) Rapoport-Zink space is stratified by closures of fine Deligne-Lusztig varieties, with incidence controlled by Bruhat-Tits indices and n−m+1 J(E)-orbits of irreducible components.
On Supersingular Loci of Shimura Varieties for Quater- nionic Unitary Groups of Degree 2
1 Pith paper cite this work, alongside 9 external citations. Polarity classification is still indexing.
1
Pith paper citing it
9
external citations · OpenAlex
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Bruhat-Tits stratification for basic unramified $GU(1,n-1)$ Rapoport-Zink spaces at arbitrary parahoric level
At arbitrary parahoric level, the reduced special fiber of the GU(1,n−1) Rapoport-Zink space is stratified by closures of fine Deligne-Lusztig varieties, with incidence controlled by Bruhat-Tits indices and n−m+1 J(E)-orbits of irreducible components.