A Class of Locally Complete Intersection Multiple Structures on Smooth Algebraic Varieties as Support

Abstract

We give the construction of a class of multiple locally complete intersection structures on a smooth algebraic variety as support. This class contains the structures defined locally by equations of the form $x^n=0$, $y^2=0$, $z=0,>...,u=0$.

8 pages for Proceedings of the Conference on Combinatorial Commutative Algebra and Computer Algebra (Mangalia, Romania, May 2008)