On A_k-singularity on a plane curve of fixed degree

Sabir M. Gusein-Zade, Nikolay N. Nekhoroshev

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_…