| 书目名称 | Complex Abelian Varieties |
| 编辑 | Herbert Lange,Christina Birkenhake |
| 视频video | |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | Abelian varieties are special examples of projectivevarieties. As such theycan be described by a set ofhomogeneous polynomial equations. The theory ofabelianvarieties originated in the beginning of theninetheenthcentrury with the work of Abel and Jacobi. The subjectofthis book is the theory of abelian varieties over the fieldof complex numbers, and it covers the main results of thetheory, both classic and recent, in modern language. It isintended to give a comprehensiveintroduction to the field,but also to serve as a reference.The focaltopics are the projective embeddings of an abelianvariety, their equations and geometric properties. Moreoverseveral moduli spaces of abelian varieties with additionalstructure are constructed. Some special results onJacobiansand Prym varieties allow applications to the theory ofalgebraic curves. The main tools for the proofs are thetheta groupof a line bundle, introduced by Mumford, and thecharacteristics, to be associated to any nondegenerate linebundle. They are a directgeneralization of the classicalnotion of characteristics of thetafunctions. |
| 出版日期 | Book 19921st edition |
| 关键词 | Abelian varieties; Abelian variety; Algebraic Curves; Theta Function; Theta Group; algebra; algebraic curv |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-02788-2 |
| isbn_ebook | 978-3-662-02788-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 1992 |
发表于 2025-3-21 17:37:55
