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The Geometry of Abelian Varieties

Chapter
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Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 47)

Abstract

In this chapter we give a down-to-earth introduction to the theory of Abelian varieties, with the purpose of making this book reasonably self-contained and accessible to the applied community. The basic algebraic-geometric tools that we present here are well-known and can be found scattered around in the excellent books by Fay [52], Lange-Birkenhake [105], Mumford [129], Weil [172], and especially Griffiths and Harris [69].

Keywords

Riemann Surface Line Bundle Abelian Variety Compact Riemann Surface Ample Line Bundle 
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 2004

Authors and Affiliations

  1. 1.Department of MathematicsBrandeis UniversityWalthamUSA
  2. 2.Department of MathematicsUniversity of LouvainLouvain-la-NeuveBelgium
  3. 3.Laboratoire de Mathématiques et ApplicationsUniversité de PoitiersFuturoscopeFrance

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