S[subscript n]-equivariant sheaves and Koszul cohomology

Purpose: We give a new interpretation of Koszul cohomology, which is equivalent under the Bridgeland-King-Reid equivalence to Voisin's Hilbert scheme interpretation in dimensions 1 and 2 but is different in higher dimensions. Methods: We show that an explicit resolution of a certain S[subscr...

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Bibliographic Details
Main Author: Yang, David H.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer 2014
Online Access:http://hdl.handle.net/1721.1/91930