Cohomology of local systems coming from p-adic hyperplane arrangements

被引：0
|
作者：
Alon, G [1 ]
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2005年 / 147卷 / 1期
关键词：
Exact Sequence; Local System; Simplicial Complex; Hyperplane Arrangement; Finite Dimensional Vector Space;
D O I：
10.1007/BF02785364
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a p-adic hyperplane arrangement in a vector space V, we consider a local system of De Shalit on the Bruhat-Tits building of PGL(V). We express this local system in terms of Orlik-Solomon algebras, and calculate its cohomology in the case where the arrangement is finite.
引用
收藏
页码：189 / 207
页数：19
相关论文
共 50 条
  • [21] Syntomic cohomology as a p-adic absolute Hodge cohomology
    Kenichi Bannai
    Mathematische Zeitschrift, 2002, 242 : 443 - 480
  • [22] Syntomic cohomology as a p-adic absolute Hodge cohomology
    Bannai, K
    MATHEMATISCHE ZEITSCHRIFT, 2002, 242 (03) : 443 - 480
  • [23] Minimality of hyperplane arrangements and basis of local system cohomology
    Yoshinaga, Masahiko
    SINGULARITIES IN GEOMETRY AND TOPOLOGY: STRASBOURG 2009, 2012, 20 : 345 - 362
  • [24] On p-adic L-series, p-adic cohomology and class field theory
    Burns, David
    Macias Castillo, Daniel
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 732 : 55 - 83
  • [25] Prismatic cohomology and p-adic homotopy theory
    Shin, Tobias
    JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2023, 18 (04) : 521 - 541
  • [26] Hochschild cohomology and p-adic Lie groups
    Sorensen, Claus
    MUENSTER JOURNAL OF MATHEMATICS, 2021, 14 (01): : 101 - 122
  • [27] COHOMOLOGY OF UNISERIAL p-ADIC SPACE GROUPS
    Diaz Ramos, Antonio
    Garaialde Ocana, Oihana
    Gonzalez-Sanchez, Jon
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (09) : 6725 - 6750
  • [28] Unramified cohomology on a smooth p-adic curve
    Ducros, A
    COMPOSITIO MATHEMATICA, 2002, 130 (01) : 89 - 117
  • [29] p-adic etale cohomology of period domains
    Colmez, Pierre
    Dospinescu, Gabriel
    Hauseux, Julien
    Niziol, Wieslawa
    MATHEMATISCHE ANNALEN, 2021, 381 (1-2) : 105 - 180
  • [30] Completed cohomology and the p-adic Langlands program
    Emerton, Matthew
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II, 2014, : 319 - 342
12345