publiée le 15 avril 2026
Les nombres p-adiques et le théorème de Skolem-Mahler-Lech
De Vlerë Mehmeti
Power sum polynomials
Apparaît dans la 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.
