000 02463nam a22003978i 4500
001 CR9780511711985
003 UkCbUP
005 20200124160239.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100225s2010||||enk o ||1 0|eng|d
020 _a9780511711985 (ebook)
020 _z9780521134200 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA612.36
_b.H89 2010
082 0 0 _a514/.224
_222
100 1 _aHuybrechts, Daniel,
_eauthor.
245 1 4 _aThe geometry of moduli spaces of sheaves /
_cDaniel Huybrechts and Manfred Lehn.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2010.
300 _a1 online resource (xviii, 325 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge mathematical library
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPreliminaries -- 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.
520 _aNow 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.
650 0 _aSheaf theory.
650 0 _aModuli theory.
650 0 _aSurfaces, Algebraic.
700 1 _aLehn, Manfred,
_eauthor.
776 0 8 _iPrint version:
_z9780521134200
830 0 _aCambridge mathematical library.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511711985
999 _c518359
_d518357