Compact moduli of marked noncommutative cubic surfaces
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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.Keywords
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This publication has 26 references indexed in Scilit:
- Multigraded linear series and recollementMathematische Zeitschrift, 2017
- On images of Mori dream spacesMathematische Annalen, 2015
- A Note on Dimer Models and McKay QuiversCommunications in Mathematical Physics, 2010
- Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfacesInventiones Mathematicae, 2009
- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities2009
- Kleinian singularities, derived categories and Hall algebrasMathematische Annalen, 2000
- Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered RingsJournal of Algebra, 1997
- Noncommutative Projective SchemesAdvances in Mathematics, 1994
- Dualizing complexes over noncommutative graded algebrasJournal of Algebra, 1992
- Graded algebras of global dimension 3Advances in Mathematics, 1987