The Geometry of Moduli Spaces of Sheaves: A Publication of the Max-Planck-Institut für Mathematik, Bonn (Aspects of Mathematics) (German Edition)

3 avg rating
( 1 ratings by Goodreads )
 
9783663116257: The Geometry of Moduli Spaces of Sheaves: A Publication of the Max-Planck-Institut für Mathematik, Bonn (Aspects of Mathematics) (German Edition)
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

Book Description:

This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.

About the Author:

Dr. Huybrechts forscht an der Humboldt Universität Berlin und Dr. Lehn an der Universität Bielefeld.

"About this title" may belong to another edition of this title.

(No Available Copies)

Search Books:



Create a Want

If you know the book but cannot find it on AbeBooks, we can automatically search for it on your behalf as new inventory is added. If it is added to AbeBooks by one of our member booksellers, we will notify you!

Create a Want

Other Popular Editions of the Same Title

9780521134200: The Geometry of Moduli Spaces of Sheaves (Cambridge Mathematical Library)

Featured Edition

ISBN 10:  052113420X ISBN 13:  9780521134200
Publisher: Cambridge University Press, 2010
Softcover

9783528069070: The Geometry of Moduli Spaces of Sheaves: A Publication of the Max-Planck-Institut für Mathematik, Bonn (Aspects of Mathematics) (German Edition)

Vieweg..., 1997
Hardcover