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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Circulant matrices and Galois-Togliatti systems
Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig and Eran NevoAbstract
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we prove a conjecture concerning the minimality of Galois-Togliatti systems.
- Received:
- 28.08.18
- Published:
- 10.09.18
- MSC Codes:
- 15B05, 15A05, 13E10, 14M25
- Keywords:
- Circulant matrix, permanent, weak Lefschetz property, Laplace equations, Togliatti systems, monomial ideals