Complex Tori

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


A lattice in a complex vector space ℂ g is by definition a discrete subgroup of maximal rank in ℂ g . It is a free abelian group of rank 2g. A complex torus is a quotient X = ℂ g / Λ with Λ a lattice in ℂ g . A complex torus is a complex manifold of dimension g. It inherits the structure of a complex Lie group from the vector space ℂ g . In this chapter we study some properties of complex tori without any additional structure.


Line Bundle Abelian Variety Chern Class Period Matrice Complex Vector 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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