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manuscripta mathematica

, Volume 110, Issue 3, pp 313–324 | Cite as

Epsilon extensions over global function fields

  • Sunghan Bae
  • Linsheng Yin

Abstract.

 Recently Anderson described explicitly the epsilon extension of the maximal abelian ℚab of the rational number field ℚ, which is the compositum of all subfield of ℂ quadratic over ℚab and Galois over ℚ. We have given an analogous description of the epsilon extension of the maximal abelian extension of the rational function field over a finite field. In this paper we extend the theory of epsilon extensions partially to a global function field with a distinguished place. The new ingredient is that the base field may have non-trivial class group.

Keywords

Rational Function Rational Number Class Group Finite Field Function Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Sunghan Bae
    • 1
  • Linsheng Yin
    • 2
  1. 1.Department of Mathematics, KAIST, Taejon 305-701, Korea. e-mail: shbae@ mathx.kaist.ac.krKR
  2. 2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P.R. China. e-mail: lsyin@math.tsinghua.edu.onCN

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