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.
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