The minimal number of generators of a Togliatti system

DOI10.1007/s10231-016-0554-yzbMath1357.13024arXiv1506.05914OpenAlexW2964328674MaRDI QIDQ343506

Emilia Mezzetti, Rosa Maria Miró-Roig

Publication date: 28 November 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05914

zbMATH Keywords

toric varietiesosculating spaceLaplace equationsWeak Lefschetz property

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Projective techniques in algebraic geometry (14N05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Projective differential geometry (53A20) Classical problems, Schubert calculus (14N15)

Related Items

Gaps in the number of generators of monomial Togliatti systems, Togliatti systems associated to the dihedral group and the weak Lefschetz property, Togliatti systems and Galois coverings, Monomial ideals and the failure of the strong Lefschetz property, On the classification of Togliatti systems, Higher order selfdual toric varieties, The weak Lefschetz property of equigenerated monomial ideals, Circulant matrices and Galois-Togliatti systems, Forcing the weak Lefschetz property for equigenerated monomial ideals, On the coefficients of the permanent and the determinant of a circulant matrix: Applications, Osculating behavior of the Kummer surface in \(\mathbb{P}^5\), Smooth monomial Togliatti systems of cubics, On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems, The canonical module of GT-varieties and the normal bundle of RL-varieties, Minimal set of binomial generators for certain Veronese 3-fold projections, Artinian algebras and Jordan type

Uses Software

• Macaulay2

Cites Work

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