nonarchimedean

English

Adjective

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^[1]:

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