For abelian varieties of dimension ≥2 over algebraically closed fields of characteristic zero, derived isogeny via twisted derived categories is equivalent to the existence of a classical isogeny whose degree is a perfect square.
Derived categories of coherent sheaves on Abelian varieties and equiv- alences between them
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Derived isogenies between abelian varieties
For abelian varieties of dimension ≥2 over algebraically closed fields of characteristic zero, derived isogeny via twisted derived categories is equivalent to the existence of a classical isogeny whose degree is a perfect square.