Monoid hypersurfaces
| dc.creator | Johansen, Pål Hermunn | |
| dc.creator | Løberg, Magnus | |
| dc.creator | Piene, Ragni | |
| dc.date | 2006-12-20 | |
| dc.date.accessioned | 2026-07-07T07:36:20Z | |
| dc.date.available | 2026-07-07T07:36:20Z | |
| dc.description | A monoid hypersurface is an irreducible hypersurface of degree d which has a singular point of multiplicity d-1. Any monoid hypersurface admits a rational parameterization, hence is of potential interest in computer aided geometric design. We study properties of monoids in general and of monoid surfaces in particular. The main results include a description of the possible real forms of the singularities on a monoid surface other than the (d-1)-uple point. These results are applied to the classification of singularities on quartic monoid surfaces, complementing earlier work on the subject. | |
| dc.description | 22 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0612582 | |
| dc.identifier | http://arxiv.org/abs/math/0612582 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120391 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J26 (Primary); 14J17, 14J70, 14P05 (Secondary) | |
| dc.title | Monoid hypersurfaces | |
| dc.type | text |