Involutions and Abelian Manifolds of Quaternion Type

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 89)


Certain abelian manifolds have large algebras of endomorphisms. The most common case is that of Complex Multiplication, which is treated extensively in the literature. Almost as important is the case when this algebra contains a quaternion algebra. I have therefore included this section as an example of such manifolds, which will provide easier access to their more advanced theory.


Isomorphism Class Minimal Polynomial Quadratic Extension Quaternion Algebra Complex Torus 
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Copyright information

© Springer-Verlag New York Inc 1972

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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