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The Riemann-Roch theorem for algebraic manifolds

  • Friedrich Hirzebruch
Part of the Classics in Mathematics book series (volume 131)

Abstract

In this chapter V is a complex n-dimensional manifold. The proof of the Riemann-Roch theorem depends on results on compact complex manifolds which are due to Cartan, Dolbeault, Kodaira, Serre and Spencer. These results are summarised in § 15. At two points in the proof it becomes necessary to make additional assumptions on V: first that V is a Kähler manifold (15.6–15.9) and then that V is algebraic.

Keywords

Vector Bundle Line Bundle Cohomology Class CHERN Class Arithmetic Genus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Friedrich Hirzebruch
    • 1
    • 2
  1. 1.Max-Planck-Institut für MathematikBonnGermany
  2. 2.Mathematisches InstitutUniversität BonnBonnWest Germany

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