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Compact moduli of noncommutative projective planes

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arxiv 1411.7770 v1 pith:T4G4IXEZ submitted 2014-11-28 math.AG

Tarig Abdelgadir , Shinnosuke Okawa , Kazushi Ueda This is my paper · ORCID
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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  1. Nonexistence of phantom categories on very general noncommutative projective planes

    math.AG 2024-12 accept novelty 6.0 of 10

    Very general noncommutative projective planes do not admit phantom categories.

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