MARC Record from Library of Congress

LEADER: 02239cam a22003018a 4500
001 2010001103
003 DLC
005 20100910134204.0
008 100111s2010 enk b 001 0 eng
010 $a 2010001103
020 $a9780521134200 (pbk.)
040 $aDLC$cDLC
050 00 $aQA612.36$b.H89 2010
082 00 $a514/.224$222
100 1 $aHuybrechts, Daniel.
245 14 $aThe geometry of moduli spaces of sheaves /$cDaniel Huybrechts, Manfred Lehn.
250 $a2nd ed.
260 $aCambridge, UK ;$aNew York :$bCambridge University Press,$c2010.
263 $a1004
300 $ap. cm.
490 0 $aCambridge mathematical library
520 $a"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"--Provided by publisher.
504 $aIncludes bibliographical references and index.
505 8 $aMachine generated contents note: Preface to the second edition; Preface to the first edition; Introduction; Part I. General Theory: 1. Preliminaries; 2. Families of sheaves; 3. The Grauert-Müllich Theorem; 4. Moduli spaces; Part II. Sheaves on Surfaces: 5. Construction methods; 6. Moduli spaces on K3 surfaces; 7. Restriction of sheaves to curves; 8. Line bundles on the moduli space; 9. Irreducibility and smoothness; 10. Symplectic structures; 11. Birational properties; Glossary of notations; References; Index.
650 0 $aSheaf theory.
650 0 $aModuli theory.
650 0 $aSurfaces, Algebraic.
700 1 $aLehn, Manfred.