E. A. Astashov, “<nobr>$\mathcal{A}_k$</nobr>-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, Number 6,Pages <nobr>3

Mathematics

$\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree

E. A. Astashov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In this paper we study $\mathcal{A}_k$-singularities that can exist on curves (surfaces, respectively) of fixed degree, quasi-degree, or multi-degree in $\mathbb{C}^2$ ($\mathbb{C}^3$, respectively).

Key words: classification of singularities, singularities of algebraic curves and surfaces, $\mathcal{A}_k$-singularities.

UDC: 512.761

Received: 11.04.2014