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The group of automorphisms of a differential algebraic function field

Published online by Cambridge University Press:  22 January 2016

Michihiko Matsuda
Michihiko Matsuda*
Affiliation:
Department of Mathematics, Osaka University
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Abstract

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Consider a one-dimensional differential algebraic function field K over an algebraically closed ordinary differential field k of characteristic 0. We shall prove the following theorem:

Suppose that the group of all automorphisms of K over k is infinite. Then, K is either a differential elliptic function field over k or K = k(ν) with ν′ = ξ or ν′ = ην, where ξ, η ϵ k.

Keywords

12H0514H0533A2534A0534A20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 74 , July 1979 , pp. 87 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

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