On the superspecial loci of orthogonal type Shimura varieties

DOI10.1142/s1793042123500872arXiv1911.12283MaRDI QIDQ6133821

No author found.

Publication date: 21 August 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12283

zbMATH Keywords

Shimura varietiesaffine Deligne-Lusztig varietiessuperspecial locus

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the supersingular locus of the \(\mathrm{GU}(2,2)\) Shimura variety
• The Tate conjecture for \(K3\) surfaces in odd characteristic
• Stratifications in the reduction of Shimura varieties
• Affine Grassmannians and the geometric Satake in mixed characteristic
• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• The supersingular loci and mass formulas on Siegel modular varieties
• Basic loci of Coxeter type in Shimura varieties
• Théorie de Dieudonne cristalline. II
• Erratum to: ``Basic loci of Coxeter type in Shimura varieties
• On an exact mass formula of Shimura
• Mass formula and Oort's conjecture for supersingular abelian threefolds
• On the structure of some \(p\)-adic period domains
• Some remarks on Ekedahl-Oort stratifications
• Fully Hodge-Newton decomposable Shimura varieties
• Projectivity of the Witt vector affine Grassmannian
• The supersingular locus of the Shimura variety for \(\mathrm{GU}(1, n-1)\) over a ramified prime
• Rapoport–Zink spaces for spinor groups
• Integral models for Shimura varieties of abelian type
• -DISPLAYS AND RAPOPORT–ZINK SPACES
• An Exact Geometric Mass Formula
• The Supersingular Locus of the Shimura Variety for GU(1, s)
• Simple mass formulas on Shimura varieties of PEL-type
• On supersingular curves and Abelian varieties.
• RAPOPORT–ZINK SPACES OF HODGE TYPE
• Arithmetic intersection on GSpin Rapoport–Zink spaces
• Period Spaces for "p"-divisible Groups (AM-141)
• Incoherent Definite Spaces and Shimura Varieties
• On Some Generalized Rapoport–Zink Spaces
• Integral canonical models for Spin Shimura varieties
• Ekedahl-Oort Strata for Good Reductions of Shimura Varieties of Hodge Type

This page was built for publication: On the superspecial loci of orthogonal type Shimura varieties