Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support
Abstract
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 $(y^2+x^n, xy, z_1,...,z_r)$, $(y^3+x^n, xy, z_1 ,...z_r)$
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- 10.48550/arXiv.1011.4698
- arXiv:
- arXiv:1011.4698
- Bibcode:
- 2010arXiv1011.4698M
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14M10;
- 13C40