Arithmetic invariants from Sato--Tate moments

Edgar Costa; Francesc Fité; Andrew V. Sutherland

doi:10.1016/j.crma.2019.11.008

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arXiv · 1910.00518

Arithmetic invariants from Sato--Tate moments

Edgar Costa·Francesc Fité·Andrew V. Sutherland

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Abstract

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 N\'eron-Severi group of A.

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Edgar Costa, Francesc Fité, Andrew V. Sutherland. 2019-10-01. Arithmetic invariants from Sato--Tate moments. https://doi.org/10.1016/j.crma.2019.11.008

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