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arXiv · 1310.8266

Derived automorphism groups of K3 surfaces of Picard rank 1

Arend Bayer·Tom Bridgeland
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Abstract

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 contractible.

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Arend Bayer, Tom Bridgeland. 2016-03-20. Derived automorphism groups of K3 surfaces of Picard rank 1. https://doi.org/10.1215/00127094-3674332

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