Geodesic
$\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 3-9

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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). 
@article{VMUMM_2015_6_a0,
     author = {E. A. Astashov},
     title = {$\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--9},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a0/}
}
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E. A. Astashov. $\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a0/