The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space
| dc.creator | Esteves, Eduardo | |
| dc.date | 2000-11-02 | |
| dc.date.accessioned | 2026-07-07T04:38:26Z | |
| dc.date.available | 2026-07-07T04:38:26Z | |
| dc.description | The Castelnuovo-Mumford regularity r of a complex, projective variety V is an upper bound for the degrees of the hypersurfaces necessary to cut out V. In this note we give a bound for r when V is left invariant by a vector field on the ambient projective space. More precisely, assume V is arithmetically Cohen-Macaulay, for instance, a complete intersection. Assume as well that V projects to a normal-crossings hypersurface, which is the case when V is a curve with at most ordinary nodes. Then we show that r<m+s+2, where s is the dimension of V and m is the degree of the vector field. Our method consists of using first central projections to reduce the problem to when V is a hypersurface, and then bounds given by Brunella and Mendes. | |
| dc.description | 15 pages, La-TeX | |
| dc.identifier | https://arxiv.org/abs/math/0011018 | |
| dc.identifier | http://arxiv.org/abs/math/0011018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60276 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Dynamical Systems | |
| dc.title | The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space | |
| dc.type | text |