Regularity of subschemes invariant under Pfaff fields on projective spaces
| dc.creator | Cruz, Joana D. A. S. | |
| dc.creator | Esteves, Eduardo | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T12:41:36Z | |
| dc.date.available | 2026-07-07T12:41:36Z | |
| dc.description | A Pfaff field on a projective space is a map from the sheaf of differential s-forms, for a certain s, to an invertible sheaf. The interesting ones are those arising from a Pfaff system, as they give rise to a distribution away from their singular locus. A subscheme of the projective space is said to be invariant under the Pfaff field, if the latter induces a Pfaff field on the subscheme. We give bounds for the Castelnuovo-Mumford regularity of invariant complete intersection subschemes (more generally, arithmetically Cohen-Macaulay subschemes) of dimension s, depending on how singular these schemes are, thus bounding the degrees of the hypersurfaces that cut them out. | |
| dc.identifier | https://arxiv.org/abs/0902.2322 | |
| dc.identifier | http://arxiv.org/abs/0902.2322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219830 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37F75; 32S65; 14F10 | |
| dc.title | Regularity of subschemes invariant under Pfaff fields on projective spaces | |
| dc.type | text |