In a Schur polynomial, which is homogeneous, monomials are added with fixed coefficients. Collecting the indices of monomials seems to define a toric data for a projective variety. But the coefficients of monomials are not taken into account in this. Is there a way to define a toric variety from schur polynomials which incorporates the coefficients?
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Aren't you really asking if there is a way to attach a toric variety to a polynomial (as opposed to just the exponents in its monomials)? The fact that you are looking at Schur polynomials seems quite irrelevant. – Mariano Suárez-Álvarez Mar 28 '17 at 08:20
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Yes, only the coefficients of the polynomials are fixed in this case. Is there a way? – user389127 Dec 22 '17 at 05:13