• Corpus ID: 119124909

# Hyperk\"ahler manifolds

@article{Debarre2018HyperkahlerM,
title={Hyperk\"ahler manifolds},
author={Olivier Debarre},
journal={arXiv: Algebraic Geometry},
year={2018}
}
• O. Debarre
• Published 4 October 2018
• Mathematics
• arXiv: Algebraic Geometry
The aim of these notes is to acquaint the reader with important objects in complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyperkahler manifolds. These manifolds are interesting from several points of view: dynamical (some have interesting automorphism groups), arithmetical (although we will not say anything on this aspect of the theory), and geometric. It is also one of those rare cases where the Torelli theorem allows for a powerful link between the geometry of…
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