Compact moduli of marked noncommutative cubic surfaces

Autor: Abdelgadir, Tarig, Okawa, Shinnosuke, Ueda, Kazushi
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 29 pages
Databáze: arXiv