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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/142928
Togliatti systems and Galois coverings
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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.
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MEZZETTI, Emilia and MIRÓ-ROIG, Rosa M. (Rosa Maria). Togliatti systems and Galois coverings. Journal of Algebra. 2018. Vol. 509, num. 263-291. ISSN 0021-8693. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/142928