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I think it is a result of VerbitsyVerbitsky (probably proved in Coherent sheaves on general K3 surfaces and tori) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
I think it is a result of Verbitsy (probably proved in Coherent sheaves on general K3 surfaces and tori) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
I think it is a result of Verbitsky (probably proved in Coherent sheaves on general K3 surfaces and tori) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
I think it is a result of Verbitsy (probably proved here:https://arxiv.org/abs/math/0205210) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
I think it is a result of Verbitsy (probably proved inCoherent sheaves on general K3 surfaces and tori) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
I think it is a result of Verbitsy (probably proved here: https://arxiv.org/abs/math/0205210) that if $M$ is a very general (non-algebraic) K3 surface then the condition you want is satisfied.
