Complex Tori pp 91-114 | Cite as

Intermediate Jacobians

  • Christina Birkenhake
  • Herbert Lange
Part of the Progress in Mathematics book series (PM, volume 177)


The most important examples of nondegenerate complex tori of index k are the intermediate Jacobians of a compact Kähler manifold M. In this chapter we give their definitions, deduce some of their properties and see how they are related. We omit some of their most important aspects, for example the Abel-Jacobi map, which reflects the geometry of the manifold M, since here we are more interested in the complex tori.


Abelian Variety Hermitian Form Hodge Structure Smooth Projective Variety Complex Torus 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Christina Birkenhake
    • 1
  • Herbert Lange
    • 2
  1. 1.Fakultät für Mathematik und PhysikUniversität BayreuthBayreuthGermany
  2. 2.Mathematisches InstitutUniversität Erlangen-NürnbergErlangenGermany

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