Algebraic Curves

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 117)


In this chapter, as well as the two following ones, we leave aside all questions of rationality. So let us suppose that the base field k is algebraically closed (of any characteristic). For the definitions and elementary results related to algebraic varieties and sheaves, I refer to my memoir on coherent sheaves [73], which will be cited FAC in what follows. In any case, there is no difficulty passing from this language to that of Weil [87], [51], or to that of schemes.


Vector Space Exact Sequence Projective Space Local Ring Algebraic Variety 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParis Cedex 05France

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