## Duke Mathematical Journal

### Derived automorphism groups of K3 surfaces of Picard rank $1$

#### 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.

#### Article information

Source
Duke Math. J., Volume 166, Number 1 (2017), 75-124.

Dates
Revised: 5 February 2016
First available in Project Euclid: 14 September 2016

https://projecteuclid.org/euclid.dmj/1473854468

Digital Object Identifier
doi:10.1215/00127094-3674332

Mathematical Reviews number (MathSciNet)
MR3592689

Zentralblatt MATH identifier
1358.14019

#### Citation

Bayer, Arend; Bridgeland, Tom. Derived automorphism groups of K3 surfaces of Picard rank $1$. Duke Math. J. 166 (2017), no. 1, 75--124. doi:10.1215/00127094-3674332. https://projecteuclid.org/euclid.dmj/1473854468

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