Manuscripta Mathematica

, Volume 134, Issue 3–4, pp 533–544 | Cite as

Embeddings of function fields into ample fields

  • Arno FehmEmail author


Let E be an ample field and \({K\subseteq E}\) a subfield. We determine when a function field F/K can be embedded into E and compute the number of such embeddings. We give some applications and exhibit new examples of non-ample fields.

Mathematics Subject Classification (2000)

12E30 12F20 14H05 


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Universität Konstanz, Fachbereich Mathematik und StatistikKonstanzGermany

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