Advertisement

Complex Tori

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

Abstract

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.

Keywords

Line Bundle Abelian Variety Chern Class Period Matrice Complex Vector Space 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations