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Let $f:A\to B$ be a surjective morphism of abelian varieties (over an algebraically closed field).
Why is it true that $f$ induces an epimorphism on the points of finite order: $A_{tors}\to B_{tors}.$$A_{\mathrm{tors}}\to B_{\mathrm{tors}}$?
Why is it true that $f$ induces an epimorphism on the points of finite order: $A_{tors}\to B_{tors}.$?
Why is it true that $f$ induces an epimorphism on the points of finite order $A_{\mathrm{tors}}\to B_{\mathrm{tors}}$?
Why is it true that $f$ induces an epimorphism on the points of finite order: $A_{tor}\to B_{tor}.$$A_{tors}\to B_{tors}.$?
Why is it true that $f$ induces an epimorphism on the points of finite order: $A_{tor}\to B_{tor}.$?
