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Science/Engineering The Geometry of Moduli Spaces of Sheaves

Posted on 2010-03-16




Name:Science/Engineering The Geometry of Moduli Spaces of Sheaves
ASIN/ISBN:3528069074
Language:English
File size:1.97 Mb
Publish Date: October 1997
ISBN: 3528069074
Pages: 269 pages
File Type: PDF
File Size: 1.97 mb
Other Info: Friedrick Vieweg & Son
   Science/Engineering The Geometry of Moduli Spaces of Sheaves

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The Geometry of Moduli Spaces of Sheaves

This volume is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of research results on the geometry of moduli spaces. It introduces the basic concepts of the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration and Grothendieck's Quot-scheme. The book presents detailed proofs of the Grauert-Mulich Theorem, the Bogomolov Inequality, the semistability of tensor products and the boundedness of the family of semistable sheaves.

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