Sato-Tate groups of some weight 3 motives

DOI10.1090/conm/663/13350zbMath1411.11089arXiv1212.0256OpenAlexW2160083947MaRDI QIDQ3187545

Kiran S. Kedlaya, Francesc Fité, Andrew V. Sutherland

Publication date: 2 September 2016

Published in: Frobenius Distributions: (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0256

zbMATH Keywords

Calabi-Yau threefoldsHodge numbersSato-Tate groups

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Arithmetic ground fields for abelian varieties (14K15) Relations with random matrices (11M50)

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Sato–Tate groups of abelian threefolds: a preview of the classification, Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters, Sato-Tate distributions, The twisting Sato-Tate group of the curve \(y^2 = x^{8} - 14x^4 + 1\), The Sato-Tate conjecture and Nagao's conjecture