000			01767 a2200253 4500
008			240829b2010 |||||||| |||| 00| 0 eng d
020			_a9780521134200 (PB)
041			_aeng
080			_a514.75 _bHUY
100			_aHuybrechts, Daniel
245			_aThe Geometry of Moduli Spaces of Sheaves
250			_a2nd.
260			_bCambridge University press _aUnited Kingdom _c2010
300			_axviii, 325p.
505			_a1.Preliminaries 2.Families of sheaves 3.The Grauert-Mulich theorem 4.Moduli spaces 5.Constuction methods 6.Moduli Spaces on K3 surface 7.Restriction of sheaves to curves 8.Line bundles on the moduli space 9. Irreducibility and smoothness 10.Symplectic structures 11.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			_aGeometry
650			_aDifferential geometry
650			_aModuli space
650			_aSheaves
690			_aMathematics
700			_aLehn, Manfred
942			_cBK
999			_c60495 _d60495