%0 Journal Article %T Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support %A Nicolae Manolache %J Mathematics %D 2010 %I arXiv %X We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the form $(y^2+x^n, xy, z_1,...,z_r)$, $(y^3+x^n, xy, z_1 ,...z_r)$ %U http://arxiv.org/abs/1011.4698v1