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Derived automorphism groups of K3 surfaces of Picard rank 1

Derived automorphism groups of K3 surfaces of Picard rank 1

We give a complete description of the group of exact autoequivalences of the bounded derived category of coherent sheaves on a K3 surface of Picard rank 1. We do this by proving that a distinguished connected component of the space of stability conditions is preserved by all autoequivalences and is …