Arithmetic invariants from Sato--Tate moments
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classification
math.NT
keywords
groupmomentsabelianarithmeticarithmetic-geometricdefinedendomorphismeron-severi
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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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