✦ LIBER ✦

The Geometry of Points on Quantum Projectivizations

✍ Scribed by Adam Nyman

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 244 KB
Volume: 246
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8949

No coin nor oath required. For personal study only.

✦ Synopsis

Suppose S is an affine, noetherian scheme, X is a separated, noetherian S-scheme, is a coherent X -bimodule, and ⊂ T is a graded ideal. We study the geometry of the functor n of flat families of truncated = T / -point modules of length n + 1. We then use the results of our study to show that if Proj is a quantum ruled surface, the point modules over are parameterized by the closed points of X 2

. When X = 1 , we construct, for any -point module, a graded X --bimodule resolution.

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