© 1999

Complex Tori


Part of the Progress in Mathematics book series (PM, volume 177)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Christina Birkenhake, Herbert Lange
    Pages 1-33
  3. Christina Birkenhake, Herbert Lange
    Pages 35-62
  4. Christina Birkenhake, Herbert Lange
    Pages 63-90
  5. Christina Birkenhake, Herbert Lange
    Pages 91-114
  6. Christina Birkenhake, Herbert Lange
    Pages 115-178
  7. Christina Birkenhake, Herbert Lange
    Pages 179-205
  8. Christina Birkenhake, Herbert Lange
    Pages 207-223
  9. Back Matter
    Pages 225-255

About this book


A complex torus is a connected compact complex Lie group. Any complex 9 9 torus is of the form X =


Abelian variety Algebra Cohomology algebraic geometry complex analysis homomorphism manifold moduli space representation theory

Authors and affiliations

  1. 1.Fakultät für Mathematik und PhysikUniversität BayreuthBayreuthGermany
  2. 2.Mathematisches InstitutUniversität Erlangen-NürnbergErlangenGermany

Bibliographic information


"…Now, whereas the theory of complex abelian varieties has reached a highly advanced stage of its development, after nearly two hundred years of vast and intense research, comparatively few deep results have been known, so far, about the structure and geometry of general complex tori…From what has been said at the beginning of this review, the uniqueness of this first comprehensive monograph on general complex tori, together with its excellent arrangement of the presented material, has already made it a standard text on the subject, and therefore it must be seen as both a really needed and a highly welcome complement to the literature on the related areas of mathematics…"

–Zentralblatt Math

"Authors have conducted a thorough investigation of these objects. In this volume they present a comprehensive account of their achievements…Containing a great number of new results this monograph will be a standard reference for years to come."

--Zentralblatt Math

"…general complex tori had a scarce literature so far. This gap is filled by the present book… With its complete up-to-date bibliography the book may serve as both manual and graduate text."