Noncommutative quadric surfaces and noncommutative conifolds

摘要

We introduce a compact moduli of noncommutative quadrics, and show that it isthe weighted projective space of weight (2,4,4,6). We also introduce a compactmoduli of potentials for the conifold quiver, and show that it is the weightedprojective space of weight (1,2,3,4). There is a natural morphism from thelatter to the former, which is finite of degree 4.