On the classification of Togliatti systems

DOI10.1080/00927872.2017.1388813zbMath1398.13017arXiv1710.03579OpenAlexW2962844526MaRDI QIDQ4570917

Martí Salat-Moltó, Rosa Maria Miró-Roig

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03579

zbMATH Keywords

toric varietiesosculating spacemonomial idealsweak Lefschetz propertyLaplace equations

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 ⋮ 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

• Unnamed Item
• 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
• Ideals of general forms and the ubiquity of the weak Lefschetz property.
• Alcune osservazioni sulle superficie razionali che rappresentano equazioni di Laplace
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Laplace Equations and the Weak Lefschetz Property
• Inflections of toric varieties.