Very general noncommutative projective planes do not admit phantom categories.
Compact moduli of noncommutative projective planes
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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.
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2024 1verdicts
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Nonexistence of phantom categories on very general noncommutative projective planes
Very general noncommutative projective planes do not admit phantom categories.