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15 January 2017 Derived automorphism groups of K3 surfaces of Picard rank 1
Arend Bayer, Tom Bridgeland
Duke Math. J. 166(1): 75-124 (15 January 2017). DOI: 10.1215/00127094-3674332

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. "Derived automorphism groups of K3 surfaces of Picard rank 1." Duke Math. J. 166 (1) 75 - 124, 15 January 2017. https://doi.org/10.1215/00127094-3674332

Information

Received: 14 May 2014; Revised: 5 February 2016; Published: 15 January 2017
First available in Project Euclid: 14 September 2016

zbMATH: 1358.14019
MathSciNet: MR3592689
Digital Object Identifier: 10.1215/00127094-3674332

Subjects:
Primary: 14F05
Secondary: 14J28, 14J33, 18E30

Rights: Copyright © 2017 Duke University Press

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Vol.166 • No. 1 • 15 January 2017
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