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.
- Save the files Points4, Points4dual,
Points4all, HilbertFunc.m, and
HilbertFuncVeronese.m in the same directory.
- Execute the Matlab commands
      >>   [reg, hilbertFunc] = HilbertFunc(4, 'Points4', 'Points4dual', 1e-10, 0)
      >>   [reg, hilbertFunc] = HilbertFuncVeronese(4, 'Points4all', 1e-10, 0)
from the directory.
- Here is the output.
- Here is the output for all of the computations.
Additional Files
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