Almost Regular Bundles on del Pezzo Fibrations
| dc.creator | Aker, Kursat | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:22:45Z | |
| dc.date.available | 2026-07-07T05:22:45Z | |
| dc.description | This paper is devoted to the study of a certain class of principal bundles on del Pezzo surfaces, which were introduced and studied by Friedman and Morgan in \cite{FMdP}: The two authors showed that there exists a unique principal bundle (up to isomorphism) on a given (Gorenstein) del Pezzo surface satisfying certain properties. We call these bundles {\em almost regular}. In turn, we study them in families. In this case, the existence and the moduli of these bundles are governed by the cohomology groups of an abelian sheaf ${\mathscr A}$: On a given del Pezzo fibration, the existence of an almost regular bundle depends on the vanishing of an obstruction class in $H^2({\mathscr A})$. In which case, the set of isomorphism classes of almost regular bundles become a homogeneous space under the $H^1({\mathscr A})$ action. | |
| dc.identifier | https://arxiv.org/abs/math/0508557 | |
| dc.identifier | http://arxiv.org/abs/math/0508557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76180 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20, 14D21 | |
| dc.title | Almost Regular Bundles on del Pezzo Fibrations | |
| dc.type | text |