
Geometry of Moduli Spaces of Sheaves
A Publication of the Max-Planck-Institut für Mathematik, Bonn
Vieweg & Teubner (Publisher)
Published on 13. March 1997
Book
Hardback
XIV, 269 pages
978-3-528-06907-0 (ISBN)
Description
This volume is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of research results on the geometry of moduli spaces. It introduces the basic concepts of the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration and Grothendieck's Quot-scheme. The book presents detailed proofs of the Grauert-Mulich Theorem, the Bogomolov Inequality, the semistability of tensor products and the boundedness of the family of semistable sheaves.
This volume is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of research results on the geometry of moduli spaces. It introduces the basic concepts of the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration and Grothendieck's Quot-scheme. The book presents detailed proofs of the Grauert-Mulich Theorem, the Bogomolov Inequality, the semistability of tensor products and the boundedness of the family of semistable sheaves.
This volume is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of research results on the geometry of moduli spaces. It introduces the basic concepts of the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration and Grothendieck's Quot-scheme. The book presents detailed proofs of the Grauert-Mulich Theorem, the Bogomolov Inequality, the semistability of tensor products and the boundedness of the family of semistable sheaves.
More details
Series
Edition
1997 ed.
Language
English
German
Place of publication
Wiesbaden
Germany
Target group
Professional and scholarly
Upper undergraduate
Dimensions
Height: 229 mm
Width: 162 mm
Weight
564 gr
ISBN-13
978-3-528-06907-0 (9783528069070)
DOI
10.1007/978-3-663-11624-0
Schweitzer Classification
Other editions
Additional editions

Daniel Huybrechts | Manfred Lehn
The Geometry of Moduli Spaces of Sheaves
A Publication of the Max-Planck-Institut Fur Mathematik, Bonn
Book
11/2013
Vieweg+Teubner Verlag
€49.99
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Persons
Dr. Huybrechts forscht an der Humboldt Universität Berlin und Dr. Lehn an der Universität Bielefeld.
Content
Introduction - Preliminaries - Families of Sheaves - The Grauert-Mülich Theorem - Moduli Spaces - Construction Methods - Moduli Spaces on K3 Surfaces - Restriction of Sheaves to Curves - Line Bundles on the Moduli Space - Irreducibility and Smoothness - Symplectic Structures - Birational Properties