The geometry of points on quantum projectivizations

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dc.creatorNyman, Adam
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:48:13Z
dc.date.available2026-07-07T12:48:13Z
dc.descriptionSuppose $S$ is an affine, noetherian scheme, $X$ is a separated, noetherian $S$-scheme, $\mathcal{E}$ is a coherent ${\mathcal{O}}_{X}$-bimodule and $\mathcal{I} \subset T(\mathcal{E})$ is a graded ideal. We study the geometry of the functor $Γ_{n}$ of flat families of truncated $\mathcal{B}=T(\mathcal{E})/\mathcal{I}$-point modules of length $n+1$. We then use the results of our study to show that the point modules over $\mathcal{B}$ are parameterized by the closed points of ${\mathbb{P}}_{X^{2}}(\mathcal{E})$. When $X={\mathbb{P}}^{1}$, we construct, for any $\mathcal{B}$-point module, a graded ${\mathcal{O}}_{X}-\mathcal{B}$-bimodule resolution.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0903.0352
dc.identifierhttp://arxiv.org/abs/0903.0352
dc.identifierJ. Algebra 246 (2001), 761-792
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221977
dc.subjectAlgebraic Geometry
dc.subject14A22
dc.titleThe geometry of points on quantum projectivizations
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