Poincare series of filtrations corresponding to ideals on surfaces
| dc.creator | Campillo, A. | |
| dc.creator | Delgado, F. | |
| dc.creator | Gusein-Zade, S. M. | |
| dc.date | 2008-03-12 | |
| dc.date | 2008-09-12 | |
| dc.date.accessioned | 2026-07-07T10:02:07Z | |
| dc.date.available | 2026-07-07T10:02:07Z | |
| dc.description | Earlier the authors considered and, in some cases, computed Poincare series of two sorts of multi-index filtrations on the ring of germs of functions on a complex (normal) surface singularity (in particular on the complex plane). A filtration from the first class was defined by a curve (with several branches) on the surface singularity. The other one (so called divisorial filtration) was defined by a set of components of the exceptional divisor of a modification of the surface singularity. Here we define a filtration corresponding to an ideal or to a set of ideals in the ring of germs of functions on a surface singularity and compute the corresponding Poincare series in some cases. For the complex plane this notion unites the two classes of filtrations described above. | |
| dc.identifier | https://arxiv.org/abs/0803.1743 | |
| dc.identifier | http://arxiv.org/abs/0803.1743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168862 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J17; 32S25 | |
| dc.title | Poincare series of filtrations corresponding to ideals on surfaces | |
| dc.type | text |