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Compact Riemann surfaces and Abelian Varieties

  • Günter Harder
Part of the Aspects of Mathematics book series (ASMA, volume 35)

Zusammenfassung

Let S be such a surface. It has a canonical orientation (see section 4.10.2). On pages 77 and 146 we have seen that the cohomology groups of such a surface are given by
$$\begin{array}{*{20}{c}} {{H^\circ }(S, {\cal Z}) = {\cal Z}} \\ {{H^1}(S,{\cal Z}) = {{\cal Z}^{2g}}} \\ {{H^2}(S,{\cal Z}) = {\cal Z}} \\ \end{array}$$

Keywords

Riemann Surface Line Bundle Meromorphic Function Elliptic Curve Elliptic Curf 
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

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH 2011

Authors and Affiliations

  • Günter Harder
    • 1
  1. 1.Max-Planck-Institute for MathematicsBonnGermany

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