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Riemann–Roch Formula and Its Applications

  • Maxim E. Kazaryan
  • Sergei K. Lando
  • Victor V. Prasolov
Chapter
Part of the Moscow Lectures book series (ML, volume 2)

Abstract

The Riemann–Roch theorem establishes a relationship between two numbers: the dimension l(D) of the vector space L(D) of meromorphic functions with divisor ≥−D and the dimension i(D) of the space Ω1(D) of meromorphic 1-forms with divisor ≥ D.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Maxim E. Kazaryan
    • 1
  • Sergei K. Lando
    • 2
  • Victor V. Prasolov
    • 3
  1. 1.Steklov Mathematical Institute of RASNational Research University Higher School of Economics, Skolkovo Institute of Science and TechnologyMoscowRussia
  2. 2.National Research University Higher School of Economics, Skolkovo Institute of Science and TechnologyMoscowRussia
  3. 3.Independent University of MoscowMoscowRussia

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