Rationality questions

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 42)


So far we have only studied representations defined over the field C of complex numbers. In fact, all the proofs of the preceding sections still hold over an algebraically closed field of characteristic zero, for example, an algebraic closure of Q. Now we are going to see what happens for fields which are not algebraically closed.


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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Chaire d’algèbre et géométrieCollège de FranceParisFrance

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