A limit linear series moduli scheme
| dc.creator | Osserman, Brian | |
| dc.date | 2004-07-28 | |
| dc.date.accessioned | 2026-07-07T05:10:47Z | |
| dc.date.available | 2026-07-07T05:10:47Z | |
| dc.description | We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory, and shows promise for generalization to higher-dimensional varieties and higher-rank vector bundles. We also give a result on lifting linear series from characteristic p to characteristic 0. In an appendix, in order to obtain the necessary dimensional lower bounds on our limit linear series scheme we develop a theory of "linked Grassmannians;" these are schemes parametrizing sub-bundles of a sequence of vector bundles which map into one another under fixed maps of the ambient bundles. | |
| dc.description | 30 pages. Contents of chapter II of PhD thesis, Massachusetts Institute of Technology, 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0407496 | |
| dc.identifier | http://arxiv.org/abs/math/0407496 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72043 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H51 | |
| dc.title | A limit linear series moduli scheme | |
| dc.type | text |