| 书目名称 | Complex Abelian Varieties | | 编辑 | Christina Birkenhake,Herbert Lange | | 视频video | | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | .Abelian varieties are special examples of projective varieties. As such they can be described by a set of homogeneous polynomial equations. The theory of abelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions...The second edition contains five new chapters which present some of the mo | | 出版日期 | Book 2004Latest edition | | 关键词 | Abelian variety; Cohomology; algebra; algebraic varieties; moduli space; projective embedding; theta funct | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-06307-1 | | isbn_softcover | 978-3-642-05807-3 | | isbn_ebook | 978-3-662-06307-1Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 19:56:35
