On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime

DOI10.1016/j.ffa.2014.01.002zbMath1314.14090OpenAlexW2012212447MaRDI QIDQ402549

Annegret Weng

Publication date: 28 August 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.01.002

zbMATH Keywords

abelian varieties over finite fieldsgeneral symplectic grouptorsion points of abelian varieties

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Related Items (2)

Koblitz’s Conjecture for Abelian Varieties ⋮ On the order of CM abelian varieties over finite prime fields

Cites Work

• Notes on an analogue of the Fontaine-Mazur conjecture
• The distribution of class groups of function fields
• The probability that the number of points on the Jacobian of a genus 2 curve is prime
• Some Remarks on Cohen-Lenstra Heuristics
• Unnamed Item

This page was built for publication: On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime