A Gieseker type degeneration of moduli stacks of vector bundles on curves
| dc.creator | Kausz, Ivan | |
| dc.date | 2002-01-21 | |
| dc.date.accessioned | 2026-07-07T06:32:53Z | |
| dc.date.available | 2026-07-07T06:32:53Z | |
| dc.description | Given a generically smooth stable curve over a discrete valuation ring such that its special fibre is irreducible with one double point, we construct a moduli stack over that descrete valuation ring which is a model for the moduli stack of vector bundles over the generic fibre of the curve. The model has the following nice properties: 1. It is regular. 2. Its special fibre is a normal crossing divisor. 3. The normalization of its special fibre is a locally trivial KGl-bundle over the moduli stack of vector bundles over the normalization of the special fibre of the curve. Here KGl is a canonical compactification of the general linear group. Our motivation is that such a model may help to give recursion formulae for such cohomological invariants of the moduli stack of vector bundles on smooth curves which depend only on the genus of the curve. | |
| dc.description | 59 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0201197 | |
| dc.identifier | http://arxiv.org/abs/math/0201197 | |
| dc.identifier | Trans. Amer. Math. Soc. 357 (2005), 4897-4955 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99008 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60; 14D20; 14D06 | |
| dc.title | A Gieseker type degeneration of moduli stacks of vector bundles on curves | |
| dc.type | text |