The Geometry of Abelian Varieties

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


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].


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