Galois representations of three-dimensional orthogonal motives

被引:0
作者
Sigrid Wortmann
机构
[1] Mathematisches Institut der Universität Heidelberg,
[2] Im Neuenheimer Feld 288,undefined
[3] 69120 Heidelberg,undefined
[4] Germany. e-mail: wortmann@mathi.uni-heidelberg.de,undefined
来源
manuscripta mathematica | 2002年 / 109卷
关键词
Bilinear Form; Number Field; Galois Representation; Symmetric Bilinear Form; Adic Representation;
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摘要
 Let M be a motive defined over a number field K and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} the associated system of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}-adic representations. Assuming some (mild) conditions on M we determine the image \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} in the case that M is three-dimensional and equipped with a symmetric bilinear form. We can show further that several conjectures on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}-adic representations hold for M.
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页码:1 / 28
页数:27
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