TY - GEN AU - Huybrechts, Daniel AU - Lehn, Manfred TI - The Geometry of Moduli Spaces of Sheaves SN - 9780521134200 (PB) PY - 2010/// CY - United Kingdom PB - Cambridge University press KW - Geometry KW - Differential geometry KW - Moduli space KW - Sheaves N1 - 1.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 N2 - 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 ER -