The geometry of moduli spaces of sheaves

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 sur...

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Bibliographic Details
Main Authors: Huybrechts, Daniel, Lehn, Manfred (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2010
Edition:Second edition
Series:Cambridge mathematical library
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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300 |a xviii, 325 pages  |b digital 
505 0 |a Preliminaries -- Families of sheaves -- The Grauert-Müllich 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 
653 |a Sheaf theory 
653 |a Moduli theory 
653 |a Surfaces, Algebraic 
700 1 |a Lehn, Manfred  |e [author] 
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520 |a 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