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Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by J-P. Serre)

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Publication:4611974
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DOI10.1093/imrn/rnw058zbMath1405.11078arXiv1504.00902OpenAlexW2962755384MaRDI QIDQ4611974

Rachel Davis, Katherine E. Stange, Alina Carmen Cojocaru, Alice Silverberg

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00902


zbMATH Keywords

counting functionFrobenius automorphismsabsolute Galois representation


Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Elliptic curves (14H52) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)


Related Items (6)

The Lang-Trotter conjecture for products of non-CM elliptic curves ⋮ Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves ⋮ Rational points on algebraic curves in infinite towers of number fields ⋮ Sato-Tate distributions ⋮ On the Lang-Trotter conjecture for two elliptic curves ⋮ Traces of powers of matrices over finite fields






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