ISBN: 9780521134200
ID: 9780521134200
This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces. Textbooks New, Books~~Mathematics~~Algebra~~General, Geometry-of-Moduli-Spaces-of-Sheaves~~Daniel-Huybrechts, 999999999, The Geometry of Moduli Spaces of Sheaves, Daniel Huybrechts, Manfred Lehn, 052113420X, Cambridge University Press, , , , , Cambridge University Press
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Daniel Huybrechts, Manfred Lehn:
The Geometry of Moduli Spaces of Sheaves (Cambridge Mathematical Library) - Paperback2010, ISBN: 052113420X
[SR: 1852990], Paperback, [EAN: 9780521134200], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], 2010-05-27, Cambridge University Press, 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., 13928, Algebraic Geometry, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491546, Geometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
Amazon.com |
2010
ISBN: 052113420X
[SR: 1852990], Paperback, [EAN: 9780521134200], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], 2010-05-27, Cambridge University Press, 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., 13928, Algebraic Geometry, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491546, Geometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books
Amazon.com |
1997, ISBN: 9780521134200
ID: 1728663
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. The Geometry of Moduli Spaces of Sheaves Huybrechts, Daniel / Lehn, Manfred, Cambridge University Press
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2010, ISBN: 9780521134200
ID: 11601232
[ED: 2], 2nd Revised edition, Softcover, Buch, [PU: Cambridge University Press]
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Title: | The Geometry of Moduli Spaces of Sheaves |
ISBN: | 9780521134200 |
Details of the book - The Geometry of Moduli Spaces of Sheaves
EAN (ISBN-13): 9780521134200
ISBN (ISBN-10): 052113420X
Paperback
Publishing year: 2010
Publisher: CAMBRIDGE UNIV PR
325 Pages
Weight: 0,482 kg
Language: eng/Englisch
Book in our database since 01.06.2007 00:22:05
Book found last time on 04.10.2016 14:15:29
ISBN/EAN: 9780521134200
ISBN - alternate spelling:
0-521-13420-X, 978-0-521-13420-0
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