Abelian varieties and group actions

被引：7
|
作者：
Rodriguez, Rubi E. [1 ]
机构：
[1] Univ La Frontera, Dept Matemat, Temuco, Chile
来源：
RIEMANN AND KLEIN SURFACES, AUTOMORPHISMS, SYMMETRIES AND MODULI SPACES | 2014年 / 629卷
关键词：
PRYM-TYURIN VARIETIES; COMPLEX TORI; ENDOMORPHISM ALGEBRAS; RIEMANN MATRICES; JACOBIANS; COVERS; AUTOMORPHISM; SURFACES; CURVES;
D O I：
10.1090/conm/629/12561
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this survey we review part of the theory of abelian varieties with group actions. As an application, we study the group algebra decomposition for principally polarized abelian varieties admitting an involution. We give the dimensions and polarizations of the factors and the kernel of the corresponding isogenies, for each conjugacy type of symplectic involution, and describe the associated period matrices.
引用
收藏
页码：299 / +
页数：4
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