Circulant matrices and Galois-Togliatti systems

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

De Poi, Pietro¹  Mezzetti, Emilia²  Michalek, Mateusz^3,4  Maria Miro-Roigi, Rosa⁵  Nevo, Eran⁶ 

[1] Univ Udine, Dipartimento Sci Matemat Informat & Fis, Via Sci 206, I-33100 Udine, Italy

[2] Univ Trieste, Dipartimento Matemat & Geosci, Via A Valerio 12-1, I-34127 Trieste, Italy

[3] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany

[4] Polish Acad Sci, Math Inst, Sniadeckich 8, PL-00956 Warsaw, Poland

[5] Univ Barcelona, Fac Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

[6] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

关键词: Circulant matrix;    Permanent;    Weak Lefschetz property;    Laplace equations;    Monomial ideals;    Togliatti systems;   

DOI  :  10.1016/j.jpaa.2020.106404

来源: Elsevier

【 摘 要 】

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 solve a conjecture stated in [17] concerning the minimality of GT-systems. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free