Compact moduli of noncommutative projective planes

Abstract

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.

28 pages, 3 figures

Cited by in corpus (1)

• Moduli spaces of Einstein-Hermitian generalized connections over generalized Kahler manifolds of symplectic type