multiplicity procedure : This Maple procedure
computes the decomposition of the degree d polynomials on a tensor product space
as Schur modules.
polnomial making procedure
: This Maple procedure constructs the highest weight space of a Schur module.
deg_6_salmon (213493b) : This file contains a basis
of the
10 dimensional Schur module S_{2,2,2}C^3 \otimes S_{2,2,2}C^3\otimes
S_{3,1,1,1}C^4
of degree 6 polynomials in the ideal of the 4th
secant variety to the Segre product of P^2 x P^2 x P^3.
main_data.txt (990403b) : This is the output from
the Bertini run used for the decomposition of the zero set of the above degree 6
equations.
deg_6_salmon100.zip (594487b) : This compressed file contains a basis
of the
100 dimensional Schur module S_{2,2,2}C^3 \otimes S_{2,2,2}C^4\otimes
S_{3,1,1,1}C^4
of degree 6 polynomials in the ideal of the 4th
secant variety to the Segre product of P^2 x P^3 x P^3.
deg_9_salmon.zip (4022470b) : This compressed file contains a
basis of the
20 dimensional Schur module S_{3,3,3}C^3 \otimes S_{3,3,3}C^3 \otimes S_{3,3,3}C^4
of
degree 9
polynomials.
These polynomials are in the ideal of the 4th
secant variety to the Segre product of P^2 x P^2 x P^3.
deg_5_salmon (113104b)
: This compressed file contains a basis
of the
4*6*4 dimensional Schur module S_{3,1,1}C^4 \otimes S_{2,1,1,1}C^3 \otimes
S_{2,1,1,1}C^4
of degree 5 polynomials
in the ideal of the 4th
secant variety to the Segre product of P^2 x P^3 x P^3 (notice the dimension change!)