Arithmetic invariants from SatoTate moments
Abstract
We give some arithmeticgeometric interpretations of the moments M_2[a_1], M_1[a_2], and M_1[s_2] of the SatoTate group of an abelian variety A defined over a number field by relating them to the ranks of the endomorphism ring and NéronSeveri group of A.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.00518
 Bibcode:
 2019arXiv191000518C
 Keywords:

 Mathematics  Number Theory;
 11M50 (Primary) 11G10;
 14K15 (Secondary)
 EPrint:
 4 pages