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Moduli stacks of semistable sheaves and representations of Ext–quivers

Moduli stacks of semistable sheaves and representations of Ext–quivers

We show that the moduli stacks of semistable sheaves on smooth projective varieties are analytic locally on their coarse moduli spaces described in terms of representations of the associated Extquivers with convergent relations.When the underlying variety is a Calabi-Yau 3-fold, our result describes the above moduli stacks as critical locus …