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arXiv · 2404.00175

Compact moduli of marked noncommutative cubic surfaces

Tarig Abdelgadir·Shinnosuke Okawa·Kazushi Ueda
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Abstract

We introduce a compact moduli scheme of marked noncommutative cubic surfaces as the GIT moduli scheme of relations of a quiver associated with a full strong exceptional collection on a cubic surface. It is a toric variety containing the configuration space of six points on a plane in general position as a locally closed subvariety, and birationally parametrizes a class of AS-regular $\mathbb{Z}$-algebras.

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Tarig Abdelgadir, Shinnosuke Okawa, Kazushi Ueda. 2024-03-29. Compact moduli of marked noncommutative cubic surfaces. https://arxiv.org/abs/2404.00175

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