书籍

Jacobian Varieties

发布于 2026-07-29T05:59:27Z · 公开内容更新于 2026-10-23T09:42:54Z

The article contains a detailed treatment of Jacobian varieties. Sections 2, 5, and 6 prove the basic properties of Jacobian varieties starting from the definit

书籍信息

作者: J.S. Milne
作者实体: J.S. Milne

1 Definitions
2 The canonical maps from C to its Jacobian variety
3 The symmetric powers of a curve
4 The construction of the Jacobian variety
5 The canonical maps from the symmetric powers of C to its Jacobian variety
6 The Jacobian variety as Albanese variety; autoduality
7 Weil's construction of the Jacobian variety
8 Generalizations
9 Obtaining coverings of a curve from its Jacobian
10 Abelian varieties are quotients of Jacobian varieties
11 The zeta function of a curve
12 Torelli's theorem: statement and applications
13 Torelli's theorem: the proof
14 Bibliographic notes
Bibliography
Index

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