Geometry of Moduli Spaces of Sheaves

Informationen zum Autor Daniel Huybrechts is Professor in the Mathematical Institute at the University of Bonn. Klappentext This highly regarded book is finally back in print and now updated to reflect recent advances in the field. Zusammenfassung This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry. Inhaltsverzeichnis Preface to the second edition; Preface to the first edition; Introduction; Part I. General Theory: 1. Preliminaries; 2. Families of sheaves; 3. The Grauert-Müllich Theorem; 4. Moduli spaces; Part II. Sheaves on Surfaces: 5. Construction methods; 6. Moduli spaces on K3 surfaces; 7. Restriction of sheaves to curves; 8. Line bundles on the moduli space; 9. Irreducibility and smoothness; 10. Symplectic structures; 11. Birational properties; Glossary of notations; References; Index.

Product details

• Authors: Daniel Huybrechts, Daniel Lehn Huybrechts, Manfred Lehn
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 27.05.2010
• EAN: 9780521134200
• ISBN: 978-0-521-13420-0
• No. of pages: 344
• Series: Cambridge Mathematical Library; Cambridge Mathematical Library
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous