Analytic Theory of Abelian Varieties

Erscheinungsjahr 2008
ISBN: 978-0-521-20526-9
Verlag: Cambridge University Press

Buch, Englisch, Band 14, 104 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 164 g

Reihe: London Mathematical Society Lecture Note Series

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.

Autoren/Hrsg.

Swinnerton-Dyer, H. P. F.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

1. Background; 2. The functions and Reimann forms; 3. Morphisms, polarizations and duality.