The geometry of moduli spaces of sheaves / Daniel Huybrechts and Manfred Lehn.

Format:

Book

Author/Creator:

Huybrechts, Daniel.

Contributor:

Lehn, Manfred.

Series:

Cambridge mathematical library

Language:

English

Subjects (All):

Sheaf theory.

Moduli theory.

Surfaces, Algebraic.

Physical Description:

xviii, 325 pages ; 23 cm.

Edition:

Second edition.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2010.

Summary:

"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.

Contents:

Preliminaries

Families of sheaves

The Grauert-Müllich Theorem

Moduli spaces

Construction methods

Moduli spaces on K3 surfaces

Restriction of sheaves to curves

Line bundles on the moduli space

Irreducibility and smoothness

Symplectic structures

Birational properties.

Notes:

Includes bibliographical references (pages 290-315) and index.

ISBN:

9780521134200

052113420X

OCLC:

499073028