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Initial complex associated to a jet scheme of a determinantal variety
Authors:Boyan Jonov
Institution:
  • Department of Mathematics, California State University Northridge, Northridge, CA 91330, USA
  • 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.
    Keywords:Primary  13F55
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