TY - BOOK ID - 78046314 TI - The geometry of moduli spaces of sheaves AU - Huybrechts, Daniel AU - Lehn, Manfred PY - 2010 SN - 052113420X 9780521134200 9780511711985 9780511712708 0511712707 9780511714788 0511714785 0511711980 9780511722844 0511722842 9781283149556 1283149559 1107203635 0511713533 9786613149558 0511716036 PB - Cambridge Cambridge University Press DB - UniCat KW - Moduli theory KW - Sheaf theory KW - Surfaces, Algebraic KW - Theory of moduli KW - Analytic spaces KW - Functions of several complex variables KW - Geometry, Algebraic KW - Algebraic surfaces KW - Cohomology, Sheaf KW - Sheaf cohomology KW - Sheaves, Theory of KW - Sheaves (Algebraic topology) KW - Algebraic topology KW - Sheaf theory. KW - Moduli theory. KW - Surfaces, Algebraic. UR - https://www.unicat.be/uniCat?func=search&query=sysid:78046314 AB - 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 -