Daniel Huybrechts

Lectures on K3 Surfaces

• Gebundenes Buch

Produktbeschreibung

K3 surfaces are central objects in mathematics and connect to string theory in physics. By studying the many rich aspects of these surfaces, this book surveys powerful techniques in algebraic geometry. Working from the basics to recent breakthroughs, it is suitable as a graduate text and reference for researchers.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 498
• Erscheinungstermin: 10. Mai 2018
• Englisch
• Abmessung: 235mm x 157mm x 34mm
• Gewicht: 884g
• ISBN-13: 9781107153042
• ISBN-10: 1107153042
• Artikelnr.: 45154631

Autorenporträt

Daniel Huybrechts is a professor at the Mathematical Institute of the University of Bonn. He previously held positions at the Université Denis Diderot Paris 7 and the University of Cologne. He is interested in algebraic geometry, particularly special geometries with rich algebraic, analytic, and arithmetic structures. His current work focuses on K3 surfaces and higher dimensional analogues. He has published four books.

Inhaltsangabe

Preface
1. Basic definitions
2. Linear systems
3. Hodge structures
4. Kuga-Satake construction
5. Moduli spaces of polarised K3 surfaces
6. Periods
7. Surjectivity of the period map and Global Torelli
8. Ample cone and Kähler cone
9. Vector bundles on K3 surfaces
10. Moduli spaces of sheaves on K3 surfaces
11. Elliptic K3 surfaces
12. Chow ring and Grothendieck group
13. Rational curves on K3 surfaces
14. Lattices
15. Automorphisms
16. Derived categories
17. Picard group
18. Brauer group.