Refine search
Actions for selected content:
1 results
THE BASIC LOCUS OF THE UNITARY SHIMURA VARIETY WITH MINUSCULE PARAHORIC LEVEL STRUCTURE, AND SPECIAL CYCLES
- Part of
-
- Journal:
- Journal of the Institute of Mathematics of Jussieu , First View
- Published online by Cambridge University Press:
- 26 October 2026, pp. 1-58
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
In this paper, we study the basic locus in the fibre at p of a certain unitary Shimura variety with a certain parahoric level structure. The basic locus $\widehat {{\mathcal M}^{ss}}$
is uniformized by a formal scheme ${\mathcal N}$
, which is called the Rapoport–Zink space. We show that the irreducible components of the induced reduced subscheme ${\mathcal N}_{red}$
of ${\mathcal N}$
are Deligne–Lusztig varieties and their intersection behaviour is controlled by a certain Bruhat-Tits building. Also, we define special cycles in ${\mathcal N}$
and study their intersection multiplicities.
