nonarchimedean

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:

     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 ${\\displaystyle NM}$.