The Geometry of Moduli Spaces of Sheaves

Häftad, Engelska, 2010

Del i serien Cambridge Mathematical Library

692 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-05-27
Mått:150 x 224 x 20 mm
Vikt:480 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Mathematical Library
Antal sidor:344
Upplaga:2
Förlag:Cambridge University Press
ISBN:9780521134200

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Daniel Huybrechts is Professor in the Mathematical Institute at the University of Bonn. Manfred Lehn is Professor in the Mathematical Institute at Johannes Gutenberg University, Mainz, Germany.

Recensioner i media

'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

Innehållsförteckning

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.