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The Theorem of Abel-Jacobi

  • Serge Lang
Chapter
  • 1.6k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 89)

Abstract

A differential will be said to be of the first kind if it is holomorphic everywhere on the Riemann surface. Such differentials form a vector space over the complex, and by the Riemann-Roch theorem, one sees that the dimension of this space is equal to the genus g of R.

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Copyright information

© Springer-Verlag New York Inc. 1972

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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