Gaps in the number of generators of monomial Togliatti systems

DOI10.1016/j.jpaa.2018.07.009zbMath1455.13033OpenAlexW2884666691WikidataQ129489368 ScholiaQ129489368MaRDI QIDQ1634864

Charles Almeida, Aline V. Andrade, Rosa Maria Miró-Roig

Publication date: 18 December 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.07.009

zbMATH Keywords

toric varietymonomial idealLaplace equationweak Lefschetz propertyTogliatti

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) Classical problems, Schubert calculus (14N15) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items

Togliatti systems associated to the dihedral group and the weak Lefschetz property ⋮ Circulant matrices and Galois-Togliatti systems ⋮ On the coefficients of the permanent and the determinant of a circulant matrix: Applications ⋮ 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

Uses Software

• Macaulay2

Cites Work

• The minimal number of generators of a Togliatti system
• Smooth monomial Togliatti systems of cubics
• Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
• Togliatti systems and Galois coverings
• Alcune osservazioni sulle superficie razionali che rappresentano equazioni di Laplace
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• On the classification of Togliatti systems
• Laplace Equations and the Weak Lefschetz Property
• Inflections of toric varieties.