Generators of truncated symmetric polynomials

Details Generators of truncated symmetric polynomials Generators of truncated symmetric polynomials

2010-11-28

arxiv.org/abs/1011.6068v3

Mathematics

Commutative Algebra

9 pages; updated references

Scientific paper

In the polynomial ring F[x_1,...,x_n], consider (x_1^{d+1},..., x_n^{d+1}), the ideal generated by a given power of the variables, then let I_{n,d} be the intersection of this ideal with the subring of symmetric polynomials in x_1,...,x_n. Building upon a result of A. Adem and Z. Reichstein, I describe generators of the ideal I_{n,d} for a field F of arbitrary characteristic and suggest a conjecture on minimal generators of I_{n,d}.

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