Article ID Journal Published Year Pages File Type
4596805 Journal of Pure and Applied Algebra 2011 6 Pages PDF
Abstract

We show in this paper that the principal component of the first-order jet scheme over the classical determinantal variety of m×n matrices of rank at most 1 is arithmetically Cohen–Macaulay, by showing that an associated Stanley–Reisner simplicial complex is shellable.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory