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arXiv · 1710.00371

Multi-Gieseker semistability and moduli of quiver sheaves

Marcel Maslovarić·Henrik Seppänen
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Abstract

We generalize the notion of multi-Gieseker semistability for coherent sheaves, introduced by Greb, Ross, and Toma, to quiver sheaves for a quiver $Q$. We construct coarse moduli spaces for semistable quiver sheaves using a functorial method that realizes these as subschemes of moduli spaces of representations of a twisted quiver, depending on $Q$, with relations. We also show the projectivity of the moduli space in the case when $Q$ has no oriented cycles. Finally, we investigate the parameter dependence of the moduli.

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Marcel Maslovarić, Henrik Seppänen. 2018-01-17. Multi-Gieseker semistability and moduli of quiver sheaves. https://arxiv.org/abs/1710.00371

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