AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Article Link
Collect
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Original Article | Open Access

The Supersingular Locus of the Shimura Variety of GU(2, n − 2)

Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Show Author Information

Abstract

We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to GU(2, n − 2). More concretely, we realize irreducible components of the supersingular locus as closed subschemes of flag schemes over Deligne–Lusztig varieties defined by explicit conditions after taking perfections. Moreover, we study the intersections of the irreducible components. Stratifications of Deligne–Lusztig varieties defined using powers of Frobenius action appear in the description of the intersections.

References

【1】
【1】
 
 
Peking Mathematical Journal
Pages 457-496

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Close
Close
Cite this article:
Fox, M., Imai, N. The Supersingular Locus of the Shimura Variety of GU(2, n − 2). Peking Math J 9, 457-496 (2026). https://doi.org/10.1007/s42543-025-00102-5

3

Views

0

Crossref

Received: 22 June 2023
Revised: 24 March 2025
Accepted: 29 April 2025
Published: 08 July 2025
© The Author(s) 2025

This article is licensed under a Creative Commons Attribution 4.0International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.