Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895890 | Journal of Algebra | 2018 | 29 Pages |
Abstract
We study the homogeneous artinian ideals of the polynomial ring K[x,y,z] generated by the homogeneous polynomials of degree d which are invariant under an action of the cyclic group Z/dZ, for any dâ¥3. 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 (1,e,ea), 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Emilia Mezzetti, Rosa M. Miró-Roig,