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Moduli of semistable sheaves as quiver moduli

2017/09/16 by Maiorana, Andrea
#14D20 #14J60 #16G20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.05555

Abstract

In the 1980s Drézet and Le Potier realized moduli spaces of Gieseker-semistable sheaves on ℙ2 as what are now called quiver moduli spaces. We discuss how this construction can be understood using t-structures and exceptional collections on derived categories, and how it can be extended to a similar result on ℙ1×ℙ1.

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