nonarchimedean

nonarchimedean (not comparable)

1. Alternative form of non-Archimedean
   • 2015, Yuri G. Zarhin, “Endomorphism rings of reductions of elliptic curves and abelian varieties”, in arXiv‎:

     For such ${\displaystyle v}$ the endomorphism ring ${\displaystyle End(E(v))}$ of ${\displaystyle E(v)}$ is an order in an imaginary quadratic field. We prove that for any pair of relatively prime positive integers ${\displaystyle N}$ and ${\displaystyle M}$ there are infinitely many nonarchimedean places ${\displaystyle v}$ of ${\displaystyle K}$ such that the discriminant ${\displaystyle \Delta (v)}$ of ${\displaystyle End(E(v))}$ is divisible by ${\displaystyle N}$ and the ratio ${\displaystyle \Delta (v)/N}$ is relatively prime to ${\displaystyle NM}$.