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Book Cover
E-book
Author Huybrechts, Daniel.

Title The geometry of moduli spaces of sheaves / Daniel Huybrechts and Manfred Lehn
Edition 2nd ed
Published Cambridge ; New York : Cambridge University Press, ©2010

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Description 1 online resource (xviii, 325 pages)
Series Cambridge mathematical library
Cambridge mathematical library.
Contents General theory. Preliminaries -- Families of sheaves -- The Grauert-Müllich Theorem -- Moduli spaces -- Sheaves on surfaces. 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
Summary "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"--Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Sheaf theory.
Moduli theory.
Surfaces, Algebraic.
MATHEMATICS -- Topology.
Moduli theory
Sheaf theory
Surfaces, Algebraic
Algebraische Geometrie
Garbe Mathematik
Modulraum
Moduli spaces.
Schoven (Topologie)
Meetkunde.
Modulitheorie.
Blätterung.
Algebraische Fläche.
Form Electronic book
Author Lehn, Manfred.
ISBN 9780511712708
0511712707
9780511714788
0511714785
9780511711985
0511711980
9780511722844
0511722842
9781283149556
1283149559