Analytic Theory of Abelian Varieties
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| Title: | Analytic Theory of Abelian Varieties |
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| Description: | 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. |
| Authors: | H. P. F. Swinnerton-Dyer |
| Resource Type: | eBook. |
| Subjects: | Functions, Meromorphic, Riemann surfaces, Abelian varieties |
| Categories: | MATHEMATICS / Geometry / Algebraic |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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. |
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| ISBN: | 9780521205269 9781107087033 |
