Expected term bases for generic multivariate Hermite interpolation
| dc.creator | Dumnicki, Marcin | |
| dc.date | 2005-03-30 | |
| dc.date.accessioned | 2026-07-07T05:18:37Z | |
| dc.date.available | 2026-07-07T05:18:37Z | |
| dc.description | The main goal of the paper is to find an effective estimation for the minimal number of generic points in $\mathbb K^2$ for which the basis for Hermite interpolation consists of the first $\ell$ terms (with respect to total degree ordering). As a result we prove that the space of plane curves of degree $d$ having generic singularities of multiplicity $\leq m$ has the expected dimension if the number of low order singularities (of multiplicity $k\leq12$) is greater then some $r(m,k)$. Additionally, the upper bounds for $r(m,k)$ are given. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503701 | |
| dc.identifier | http://arxiv.org/abs/math/0503701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74726 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H50; 13P10 | |
| dc.title | Expected term bases for generic multivariate Hermite interpolation | |
| dc.type | text |