The probability that the number of points on the Jacobian of a genus 2 curve is prime
From MaRDI portal
Publication:2894581
DOI10.1112/plms/pdr063zbMath1333.11059arXiv1101.4792OpenAlexW3106237799MaRDI QIDQ2894581
Wouter Castryck, Andrew V. Sutherland, Hendrik Hubrechts, Amanda Folsom
Publication date: 29 June 2012
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.4792
Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Distribution of primes (11N05)
Related Items (7)
On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime ⋮ The distribution of the number of points modulo an integer on elliptic curves over finite fields ⋮ THE DISTRIBUTION OF TORSION SUBSCHEMES OF ABELIAN VARIETIES ⋮ Sato-Tate distributions ⋮ Curves in characteristic \(2\) with non-trivial \(2\)-torsion ⋮ Traces of powers of matrices over finite fields ⋮ Beyond two criteria for supersingularity: coefficients of division polynomials
Uses Software
This page was built for publication: The probability that the number of points on the Jacobian of a genus 2 curve is prime
