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Power sum polynomials

By Anurag K. Singh

Appears in collection : The Ubiquity of Commutative Algebra / Ubiquité de l'algèbre commutative

Let S be a polynomial ring over the complex numbers. We consider ideals generated by power sum polynomials and investigate when S/I is a complete intersection, a normal domain, or a unique factorization domain. In dimension three, a conjecture of Aldo Conca, Christian Krattenthaler, and Junzo Watanabe addresses the complete intersection property. We discuss recent progress on this conjecture. Joint work with Aldo Conca and Kannan Soundararajan.

Information about the video

Date of recording 17/03/2026
Date of publication 27/03/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20457903
Cite this video Singh, Anurag K. (17/03/2026). Power sum polynomials. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20457903
URL https://dx.doi.org/10.24350/CIRM.V.20457903

Domain(s)

Bibliography

CONCA, Aldo, SINGH, Anurag K., et SOUNDARARAJAN, Kannan. Ideals generated by power sums. arXiv preprint arXiv:2409.18906, 2024. - https://doi.org/10.48550/arXiv.2409.18906

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