Notes on algebra and geometry of polynomial representations
| dc.creator | Averkov, Gennadiy | |
| dc.date | 2008-05-05 | |
| dc.date.accessioned | 2026-07-07T09:37:04Z | |
| dc.date.available | 2026-07-07T09:37:04Z | |
| dc.description | Consider a semi-algebraic set A in R^d constructed from the sets which are determined by inequalities p_i(x)>0, p_i(x)\ge 0, or p_i(x)=0 for a given list of polynomials p_1,...,p_m. We prove several statements that fit into the following template. Assume that in a neighborhood of a boundary point the semi-algebraic set A can be described by an irreducible polynomial f. Then f is a factor of a certain multiplicity of some of the polynomials p_1,...,p_m. Special cases when A is elementary closed, elementary open, a polygon, or a polytope are considered separately. | |
| dc.description | 12 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/0805.0522 | |
| dc.identifier | http://arxiv.org/abs/0805.0522 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160329 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 14P10; 52B05 | |
| dc.title | Notes on algebra and geometry of polynomial representations | |
| dc.type | text |