A sequence of systems

Zachary A. Griffin, Jonathan D. Hauenstein, Chris Peterson, and Andrew J. Sommese.

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    For n &ge 3, consider the ideal < f1,...,fn > where
          fi = xi3 - xi2 + &sumj xj2 - 1.
Let Yn = {e1,...,en} be the set of standard basis vectors. The remainder of this page documents calculating the Hilbert function for the zero-scheme corresponding to Yn and the radical of In for n = 3,4,5,6.
Directions
Before you begin, you will need to have Matlab installed. We present the computation for n = 4 and provide the files for the others below.
Additional Files

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