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2010-06-19
Initial Complex Associated to a Jet Scheme of a Determinantal Variety
Boyan Jonov
文献摘要
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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