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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 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.

MiS Preprint
74/2018

Circulant matrices and Galois-Togliatti systems

Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig and Eran Nevo

Abstract

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:
Aug 28, 2018
Published:
Sep 10, 2018
MSC Codes:
15B05, 15A05, 13E10, 14M25
Keywords:
Circulant matrix, permanent, weak Lefschetz property, Laplace equations, Togliatti systems, monomial ideals

Related publications

inJournal
2020 Repository Open Access
Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig and Eran Nevo

Circulant matrices and Galois-Togliatti systems

In: Journal of pure and applied algebra, 224 (2020) 11, p. 106404