Ideals generated by power sums
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910623679381504 |
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| author | Conca, Aldo Singh, Anurag K. Soundararajan, Kannan |
| author_facet | Conca, Aldo Singh, Anurag K. Soundararajan, Kannan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18906 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ideals generated by power sums Conca, Aldo Singh, Anurag K. Soundararajan, Kannan Commutative Algebra Number Theory 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. |
| title | Ideals generated by power sums |
| topic | Commutative Algebra Number Theory |
| url | https://arxiv.org/abs/2409.18906 |