The Geometry of Moduli Spaces of Sheaves
2nd Edition
Part of Cambridge Mathematical Library
- Authors:
- Daniel Huybrechts
- Manfred Lehn
- Date Published: May 2010
- availability: Available
- format: Paperback
- isbn: 9780521134200
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi–Yau threefolds. The authors review changes in the field since the publication of the original edition in 1997 and point the reader towards further literature. References have been brought up to date and errors removed. Developed from the authors' lectures, this book is ideal as a text for graduate students as well as a valuable resource for any mathematician with a background in algebraic geometry who wants to learn more about Grothendieck's approach.
Read more- A widely-cited classic finally brought back into print
- Material originally class-tested by the authors
- Now contains fully-updated references and reviews of the latest results in the field
Reviews & endorsements
'The authors have created a true masterpiece of mathematical exposition. Bringing together disparate ideas developed gradually over the last fifty years into a cohesive whole, Huybrechts and Lehn provide a compelling and comprehensive view of an essential topic in algebraic geometry. The new edition is full of gems that have been discovered since the first edition. This inspiring book belongs in the hands of any mathematician who has ever encountered a vector bundle on an algebraic variety.' Max Lieblich, University of Washington
See more reviews'This book fills a great need: it is almost the only place the foundations of the moduli theory of sheaves on algebraic varieties appears in any kind of expository form. The material is of basic importance to many further developments: Donaldson–Thomas theory, mirror symmetry, and the study of derived categories.' Rahul Pandharipande, Princeton University
'This is a wonderful book; it's about time it was available again. It is the definitive reference for the important topics of vector bundles, coherent sheaves, moduli spaces and geometric invariant theory; perfect as both an introduction to these subjects for beginners, and as a reference book for experts. Thorough but concise, well written and accurate, it is already a minor modern classic. The new edition brings the presentation up to date with discussions of more recent developments in the area.' Richard Thomas, Imperial College London
'Serving as a perfect introduction for beginners in the field, an excellent guide to the forefront of research in various directions, a valuable reference for active researchers, and as an abundant source of inspiration for mathematicians and physicists likewise, this book will certainly maintain both its particular significance and its indispensability for further generations of researchers in the field of algebraic sheaves (or vector bundles) and their moduli spaces.' Zentralblatt MATH
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: May 2010
- format: Paperback
- isbn: 9780521134200
- length: 344 pages
- dimensions: 224 x 150 x 20 mm
- weight: 0.48kg
- availability: Available
Table of Contents
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.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×