Ideals generated by power sums
Commutative Algebra
2024-09-30 v1 Number Theory
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.
Cite
@article{arxiv.2409.18906,
title = {Ideals generated by power sums},
author = {Aldo Conca and Anurag K. Singh and Kannan Soundararajan},
journal= {arXiv preprint arXiv:2409.18906},
year = {2024}
}