Derived automorphism groups of K3 surfaces of Picard rank 1

Arend Bayer; Tom Bridgeland

doi:10.1215/00127094-3674332

Derived automorphism groups of K3 surfaces of Picard rank 1

Arend Bayer, Tom Bridgeland

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	75-124
Number of pages	50
Journal	Duke Mathematical Journal
Volume	166
Issue number	1
Early online date	14 Sept 2016
DOIs	https://doi.org/10.1215/00127094-3674332
Publication status	Published - 15 Jan 2017

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10.1215/00127094-3674332

Derived automorphism groups of K3 surfaces of Picard rank 1Accepted author manuscript, 596 KB

WallXBirGeom: Wall-crossing and Birational Geometry
Bayer, A. (Principal Investigator)
EU government bodies
1/12/13 → 30/11/18
Project: Research

Arend Bayer
- School of Mathematics - Personal Chair of Wall-Crossing
Person: Academic: Research Active

Cite this

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Derived automorphism groups of K3 surfaces of Picard rank 1

Abstract

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Arend Bayer

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