当前位置: X-MOL 学术J. Algebra Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Anderson t-motives and abelian varieties with MIQF: Results coming from an analogy
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-06-15 , DOI: 10.1142/s0219498822501717
A. Grishkov 1, 2 , D. Logachev 3
Affiliation  

Analogy between Anderson t-motives and abelian varieties with multiplication by an imaginary quadratic field (MIQF) is a source of 2 results:

(1) A description of abelian varieties with MIQF of dimension r and signature (n,rn) in terms of ”lattices” of dimension r in n;

(2) A construction of exterior powers of abelian varieties with MIQF having n=1.



中文翻译:

使用 MIQF 的安德森 t 动机和阿贝尔变体:来自类比的结果

安德森之间的类比- 乘以虚二次域 (MIQF) 的动机和阿贝尔变量是 2 个结果的来源:

(1) 用维数 MIQF 描述阿贝尔簇r和签名(n,r-n)就维度的“格子”而言rn;

(2) 具有 MIQF 的阿贝尔变体的外幂构造n=1.

更新日期:2021-06-15
down
wechat
bug