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-M�lich 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 � 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.

About the Author

Dr. Huybrechts forscht an der Humboldt Universit�t Berlin und Dr. Lehn an der Universit�t Bielefeld.

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

Store Description

Visit Seller's Storefront

Seller's business information

Mooney's bookstore
Netherlands

Sale & Shipping Terms

Terms of Sale

Shipping Terms

Shipping rates from Netherlands to U.S.A.

Shipping rates from Netherlands to U.S.A.
Order quantity	14 to 21 business days	5 to 10 business days
First item	US$ 17.28	US$ 40.39

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.