Inventiones mathematicae最新文献_第8页

A Chabauty–Coleman bound for surfaces 一个Chabauty-Coleman去表面

1区数学

Inventiones mathematicae Pub Date : 2023-09-20 DOI: 10.1007/s00222-023-01217-1

Jerson Caro, Hector Pasten

引用次数: 3

A proof of the Kudla–Rapoport conjecture for Krämer models Krämer模型的Kudla-Rapoport猜想的证明

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2023-07-21 DOI: 10.1007/s00222-023-01209-1

Qiao He, Chao Li, Yousheng Shi, Tonghai Yang

引用次数: 4

The maximal subgroups of the exceptional groups $F_{4}(q)$ , $E_{6}(q)$ and $^{2}!E_{6}(q)$ and related almost simple groups 例外群$F_{4}(q)$、$E_{6}(q)$和$^{2}!E_{6}(q)$的极大子群及相关的几乎简单群

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2023-07-12 DOI: 10.1007/s00222-023-01208-2

David A. Craven

{"title":"The maximal subgroups of the exceptional groups $F_{4}(q)$ , $E_{6}(q)$ and $^{2}!E_{6}(q)$ and related almost simple groups","authors":"David A. Craven","doi":"10.1007/s00222-023-01208-2","DOIUrl":"https://doi.org/10.1007/s00222-023-01208-2","url":null,"abstract":"This article produces a complete list of all maximal subgroups of the finite simple groups of type (F_{4}), (E_{6}) and twisted (E_{6}) over all finite fields. Along the way, we determine the collection of Lie primitive almost simple subgroups of the corresponding algebraic groups. We give the stabilizers under the actions of outer automorphisms, from which one can obtain complete information about the maximal subgroups of all almost simple groups with socle one of these groups. We also provide a new maximal subgroup of (^{2}!F_{4}(8)), correcting the maximal subgroups for that group from the list of Malle. This provides the first new exceptional groups of Lie type to have their maximal subgroups enumerated for three decades. The techniques are a mixture of algebraic groups, representation theory, computational algebra, and use of the trilinear form on the 27-dimensional minimal module for (E_{6}). We provide a collection of supplementary Magma files that prove the author’s computational claims, yielding existence and the number of conjugacy classes of all maximal subgroups mentioned in the text.","PeriodicalId":14429,"journal":{"name":"Inventiones mathematicae","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138543186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Gelfand–Kirillov dimension and mod pdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$p$end{document} cohomology for GL2 Gelfand–Kirillov dimension and mod pdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$p$end{document} cohomology for GL2

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2023-06-14 DOI: 10.1007/s00222-023-01202-8

C. Breuil, F. Herzig, Yong Hu, Stefano Morra, Benjamin Schraen

引用次数: 0

Spectral aspect subconvex bounds for Un+1×Undocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$U_{n+1} times U_n$$end{d 谱面子凸边界为Un+1×Undocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amssyb} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$U_{n+1} times U_n$$end{d

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2023-03-09 DOI: 10.1007/s00222-023-01180-x

Paul D. Nelson

引用次数: 3

Endomorphisms of the projective plane and the image of the Suslin–Hurewicz map 投影平面的自同态与Suslin–Hurewicz映射的像

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2023-01-25 DOI: 10.1007/s00222-023-01179-4

O. Röndigs

引用次数: 0

Nearby motivic sheaves of weighted equivariant functions 加权等变函数的附近动力轴

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2022-12-02 DOI: 10.1007/s00222-022-01174-1

F. Ivorra, J. Sebag

引用次数: 0

Density theorems for GL(n)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${textrm{GL}}(n)$$end{document} Density theorems for GL(n)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${textrm{GL}}(n)$$end{document}

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2022-11-20 DOI: 10.1007/s00222-022-01172-3

V. Blomer

引用次数: 1

Correction to:Gabor frames for rational functions 修正:有理函数的Gabor框架

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2022-09-19 DOI: 10.1007/s00222-022-01158-1

Y. Belov, A. Kulikov, Yurii Lyubarskii

引用次数: 0

Rigidity of Kleinian groups via self-joinings Kleinian群通过自连接的刚性

IF 3.1 1区数学

Inventiones mathematicae Pub Date : 2022-08-11 DOI: 10.1007/s00222-023-01213-5

Dongryul Kim, H. Oh

引用次数: 6