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Arithmetic invariants from Sato–Tate moments
Comptes Rendus Mathematique ( IF 0.8 ) Pub Date : 2019-11-01 , DOI: 10.1016/j.crma.2019.11.008
Edgar Costa , Francesc Fité , Andrew V. Sutherland

We give some arithmetic-geometric interpretations of the moments M_2[a_1], M_1[a_2], and M_1[s_2] of the Sato-Tate group of an abelian variety A defined over a number field by relating them to the ranks of the endomorphism ring and Neron-Severi group of A.

中文翻译:

来自 Sato-Tate 矩的算术不变量

我们给出了在数域上定义的阿贝尔变体 A 的 Sato-Tate 群的矩 M_2[a_1]、M_1[a_2] 和 M_1[s_2] 的一些算术几何解释,通过将它们与自同态的秩相关联环和 Neron-Severi A 组。
更新日期:2019-11-01
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