The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité)

DOI10.1090/conm/701/14151zbMath1440.11100arXiv1409.6020OpenAlexW2792764870MaRDI QIDQ4635409

Anna Somoza, Joan-Carles Lario

Publication date: 16 April 2018

Published in: Number Theory Related to Modular Curves (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6020

zbMATH Keywords

Sato-Tate conjecturePicard curve

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items

Sato-Tate distributions of Catalan curves, Primes Dividing Invariants of CM Picard Curves, Sato-Tate distributions of \(y^2=x^p-1\) and \(y^2=x^{2p}-1\)

Cites Work

• On Galois representations for abelian varieties with complex and real multiplications.
• Frobenius Distribution for Quotients of Fermat Curves of Prime Exponent
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Division fields of abelian varieties with complex multiplication
• On the Sato-Tate conjecture for non-generic abelian surfaces
• Hyperelliptic curves, L-polynomials, and random matrices
• On the Field Extension by Complex Multiplication
• Numbers of solutions of equations in finite fields
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