Initial Complex Associated to a Jet Scheme of a Determinantal Variety

Details Initial Complex Associated to a Jet Scheme of a Determinantal Variety Initial Complex Associated to a Jet Scheme of a Determinantal Variety

2010-06-19

arxiv.org/abs/1006.3883v1

Mathematics

Commutative Algebra

To appear in Journal of Pure and Applied Algebra

Scientific paper

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.

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