Topological and algebraic results on the boundary of connected orthogonal Shimura varieties

被引：1
|
作者：
Attwell-Duval D. [1 ]
机构：
[1] Department of Mathematics and Statistics, McGill University, Montreal, H3A 0B9, QC
来源：
Annales mathématiques du Québec | 2017年 / 41卷 / 1期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Cusps; Quadratic forms; Shimura varieties;
D O I：
10.1007/s40316-016-0067-5
中图分类号：
学科分类号：
摘要：
We study the boundary of orthogonal Shimura varieties associated to a positive multiple of a maximal lattice splitting two hyperbolic planes. We provide closed formulas for the number of 0 and 1-dimensional cusps of these spaces and study their configuration within the boundary. This generalizes our earlier results about maximal lattices. © 2016, Fondation Carl-Herz and Springer International Publishing Switzerland.
引用
收藏
页码：27 / 42
页数：15
相关论文
共 50 条
  • [1] Algebraic cycles on Shimura varieties of orthogonal type
    Kudla, SS
    DUKE MATHEMATICAL JOURNAL, 1997, 86 (01) : 39 - 78
  • [2] TOPOLOGICAL AND ALGEBRAIC CYCLES IN KUGA-SHIMURA VARIETIES
    GORDON, BB
    MATHEMATISCHE ANNALEN, 1988, 279 (03) : 395 - 402
  • [3] Algebraic flows on Shimura varieties
    Ullmo, Emmanuel
    Yafaev, Andrei
    MANUSCRIPTA MATHEMATICA, 2018, 155 (3-4) : 355 - 367
  • [4] Algebraic flows on Shimura varieties
    Emmanuel Ullmo
    Andrei Yafaev
    manuscripta mathematica, 2018, 155 : 355 - 367
  • [5] On connected components of Shimura varieties
    Haines, TJ
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2002, 54 (02): : 352 - 395
  • [6] Height pairings on orthogonal Shimura varieties
    Andreatta, Fabrizio
    Goren, Eyal Z.
    Howard, Benjamin
    Pera, Keerthi Madapusi
    COMPOSITIO MATHEMATICA, 2017, 153 (03) : 474 - 534
  • [7] On the number of cusps of orthogonal Shimura varieties
    Attwell-Duval, Dylan
    ANNALES MATHEMATIQUES DU QUEBEC, 2014, 38 (02): : 119 - 131
  • [8] NONHOMEOMORPHIC CONJUGATES OF CONNECTED SHIMURA VARIETIES
    Milne, James S.
    Suh, Junecue
    AMERICAN JOURNAL OF MATHEMATICS, 2010, 132 (03) : 731 - 750
  • [9] On the superspecial loci of orthogonal type Shimura varieties
    Wang, Haining
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, 19 (08) : 1801 - 1831
  • [10] A Characterization of Special Subvarieties in Orthogonal Shimura Varieties
    Mueller-Stach, Stefan
    Zuo, Kang
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2011, 7 (04) : 1599 - 1629
12345