The geometry of points on quantum projectivizations

[摘要] Suppose S is an affine, noetherian scheme, X is a separated, noetherian S-scheme, E is a coherent C-X-bimodule, and J subset of T(E) is a graded ideal. We study the geometry of the functor Gamma(n) of flat families of truncated B = T(E)/J-point modules of length n + 1. We then use the results of our study to show that if Proj B is a quantum ruled surface, the point modules over A are parameterized by the closed points of P-X2(E) When X = P-1, we construct, for any B-point module, a graded O-X - B-bimodule resolution. (C) 2001 Elsevier Science.

[发布日期] 2001-12-15

[关键词] noncommutative geometry;point module;noncommutative ruled surface