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Ideals generated by power sums

2024/09/27 by Aldo Conca, Anurag K. Singh, Conca, Aldo +3
Mathematics · #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2409.18906

Abstract

We consider ideals in a polynomial ring generated by collections of power sum polynomials, and obtain conditions under which these define complete intersection rings, normal domains, and unique factorization domains. We also settle a key case of a conjecture of Conca, Krattenthaler, and Watanabe, and prove other results in that direction.

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