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oai:recercat.cat:2445/1429282025-12-05T09:55:49Zcom_2072_1057col_2072_478917col_2072_478920

Togliatti systems and Galois coverings Mezzetti, Emilia Miró-Roig, Rosa M. (Rosa Maria) Polinomis Matrius (Matemàtica) Polynomials Matrices We study the homogeneous artinian ideals of the polynomial ring generated by the homogeneous polynomials of degree d which are invariant under an action of the cyclic group , for any . We prove that they are all monomial Togliatti systems, and that they are minimal if the action is defined by a diagonal matrix having on the diagonal , where e is a primitive d-th root of the unity. We get a complete description when d is prime or a power of a prime. We also establish the relation of these systems with linear Ceva configurations. 2019-10-23T15:36:40Z 2020-09-01T05:10:24Z 2018-09-01 2019-10-23T15:36:40Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0021-8693 https://hdl.handle.net/2445/142928 686553 eng Versió postprint del document publicat a: https://doi.org/10.1016/j.jalgebra.2018.05.014 Journal of Algebra, 2018, vol. 509, p. 263-291 https://doi.org/10.1016/j.jalgebra.2018.05.014 cc-by-nc-nd (c) Elsevier, 2018 http://creativecommons.org/licenses/by-nc-nd/3.0/es info:eu-repo/semantics/openAccess 29 p. application/pdf Elsevier Articles publicats en revistes (Matemàtiques i Informàtica)