Complex Tori pp 179-205 | Cite as

The Parameter Spaces of Complex Tori with Endomorphism Structure

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


Let P denote the parameter space of one of the families of nondegenerate complex tori with endomorphism structure constructed in Chapter 5. In the special case of abelian varieties, P is a hermitian symmetric space. To be more precise, there are three series of irreducible hermitian symmetric spaces of the noncompact type CI (the Siegel upper half spaces), AIII, and DIII such that any P is a product of members of these (see [Sh] or [CAV], Chapter 9).


Hermitian Symmetric Space Flag Manifold Complex Projective Variety Imaginary Quadratic Field Complex Analytic Space 
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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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