Derived automorphism groups of K3 surfaces of Picard rank $1$
By Arend Bayer, T. Bridgeland. 2013
99 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e8c125f7863f29c952f8153e0ca1778865257e9b
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In Geometry and Topology
- Emanuele Macrì
- Benjamin Schmidt
- D. Huybrechts
- P. Stellari
- Arend Bayer
- Chunyi Li
- E. Markman
- Kieran G. O’Grady
In Mathematical Physics
- Emanuele Macrì
- Benjamin Schmidt
- D. Huybrechts
- P. Stellari
- Arend Bayer
- Chunyi Li
- Alexander Kuznetsov
- E. Markman
Citations in the corpus
- Lectures on Bridgeland Stability (2016, background): “In [BB17], Bayer and Bridgeland use this action and a description of the geometry of the space of stability conditions on K3 surfaces of Picard rank 1 to describe the full group of derived autoequivalences.”
- Lectures on K3 Surfaces (2016, result): “For ρ(X) = 1 the conjecture has recently been proved by Bayer and Bridgeland [39].”