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2015 | OriginalPaper | Chapter

The Geometry and Moduli of K3 Surfaces

Authors : Andrew Harder, Alan Thompson

Published in: Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Publisher: Springer New York

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Abstract

These notes will give an introduction to the theory of K3 surfaces. We begin with some general results on K3 surfaces, including the construction of their moduli space and some of its properties. We then move on to focus on the theory of polarized K3 surfaces, studying their moduli, degenerations and the compactification problem. This theory is then further enhanced to a discussion of lattice polarized K3 surfaces, which provide a rich source of explicit examples, including a large class of lattice polarizations coming from elliptic fibrations. Finally, we conclude by discussing the ample and Kähler cones of K3 surfaces, and give some of their applications.

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next chapter Picard Ranks of K3 Surfaces of BHK Type
Appendix
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Metadata
Title
The Geometry and Moduli of K3 Surfaces
Authors
Andrew Harder
Alan Thompson
Copyright Year
2015
Publisher
Springer New York
Book
Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Print ISBN: 978-1-4939-2829-3

Electronic ISBN: 978-1-4939-2830-9

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-1-4939-2830-9_1

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