2010/06/19 by Boyan Jonov, Jonov, Boyan · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CO
paper · pdf · doi:10.48550/arxiv.1006.3883
To appear in Journal of Pure and Applied Algebra
arxiv created 2010/06/19 · arxiv updated 2010/06/22
We show in this paper that the principal component of the first order jet scheme over the classical determinantal variety of m x n matrices of rank at most 1 is arithmetically Cohen-Macaulay, by showing that an associated Stanley-Reisner simplicial complex is shellable.