On the Geometrization of the Absolute Galois Group

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• 作者：A. Kamalinejad
• 刊名：Journal of Mathematical Sciences
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：209
• 期：2
• 页码：265-274
• 全文大小：347 KB
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  7.Y. Ihara, “Braids, Galois groups and some arithmetic functions,-in: Proc. ICM-90, Springer (1990), pp. 99-20.
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• 作者单位：A. Kamalinejad (1) (2)
  
  1. Department of Mathematics, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran
  2. School of Mathematics, Institute for Research in Fundamental Science (IPM), P. O. Box 19395-5746, Tehran, Iran
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-8795

文摘

A method for exhibiting the equation of an algebraic curve for a large class of dessins on an orientable closed surface is developed, and the action of the absolute Galois group is realized as a modification of the associated cell structures. An application to quadratic differentials is discussed. A Galois invariant measure on ??(1) is introduced. Towers of (flat) refinements of dessins are introduced that relate the inverse system structure of the absolute Galois group to geometric/combinatorial structures on surfaces.