# Compact moduli of noncommutative projective planes

@article{Abdelgadir2014CompactMO, title={Compact moduli of noncommutative projective planes}, author={Tarig M. H. Abdelgadir and Shinnosuke Okawa and Kazushi Ueda}, journal={arXiv: Algebraic Geometry}, year={2014} }

We introduce the notion of the moduli stack of relations of a quiver. When the quiver with relations is derived-equivalent to an algebraic variety, the corresponding compact moduli scheme can be viewed as a compact moduli of noncommutative deformations of the variety. We study the case of noncommutative projective planes in detail, and discuss its relation with geometry of elliptic curves with level 3 structures.

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