On Poincare series of filtrations on equivariant functions of two variables
| dc.creator | Campillo, A. | |
| dc.creator | Delgado, F. | |
| dc.creator | Gusein-Zade, S. M. | |
| dc.date | 2006-05-03 | |
| dc.date.accessioned | 2026-07-07T07:13:52Z | |
| dc.date.available | 2026-07-07T07:13:52Z | |
| dc.description | Let a finite group $G$ act on the complex plane $({\Bbb C}^2, 0)$. We consider multi-index filtrations on the spaces of germs of holomorphic functions of two variables equivariant with respect to 1-dimensional representations of the group $G$ defined by components of a modification of the complex plane ${\Bbb C}^2$ at the origin or by branches of a $G$-invariant plane curve singularity $(C,0)\subset({\Bbb C}^2,0)$. We give formulae for the Poincare series of these filtrations. In particular, this gives a new method to obtain the Poincare series of analogous filtrations on the rings of germs of functions on quotient surface singularities. | |
| dc.identifier | https://arxiv.org/abs/math/0605087 | |
| dc.identifier | http://arxiv.org/abs/math/0605087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112642 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05; 16W70; 16W22 | |
| dc.title | On Poincare series of filtrations on equivariant functions of two variables | |
| dc.type | text |