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arxiv: 1411.7770 · v1 · pith:T4G4IXEZnew · submitted 2014-11-28 · 🧮 math.AG

Compact moduli of noncommutative projective planes

classification 🧮 math.AG
keywords modulicompactnoncommutativeplanesprojectivequiverrelationsvariety
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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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