On A_k-singularity on a plane curve of fixed degree
| dc.creator | Gusein-Zade, Sabir M. | |
| dc.creator | Nekhoroshev, Nikolay N. | |
| dc.date | 1999-06-22 | |
| dc.date.accessioned | 2026-07-07T05:29:36Z | |
| dc.date.available | 2026-07-07T05:29:36Z | |
| dc.description | Let $k(d)$ be the maximal possible integer $k$ such that there exists a plane curve of degree $d$ with an $A_k$--singularity. We construct a plane curve of degree $28s+9$ ($s\in\Z_{\ge 0}$) which has an $A_k$--singularity with $k=420s^2+269s+42$. Therefore one has $\underline{\lim}_{d\to\infty}k(d)/d^2\ge 15/28$ (pay attention that $15/28>1/2$). | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/9906147 | |
| dc.identifier | http://arxiv.org/abs/math/9906147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78701 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H45 | |
| dc.title | On A_k-singularity on a plane curve of fixed degree | |
| dc.type | text |