Togliatti systems and Galois coverings

DOI10.1016/j.jalgebra.2018.05.014zbMath1395.13019arXiv1611.05620OpenAlexW2554562761WikidataQ129782203 ScholiaQ129782203MaRDI QIDQ1643189

Emilia Mezzetti, Rosa Maria Miró-Roig

Publication date: 18 June 2018

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

Full work available at URL: https://arxiv.org/abs/1611.05620

zbMATH Keywords

toric varietyGalois coveringweak Lefschetz propertyTogliatti system

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 (11)

Gaps in the number of generators of monomial Togliatti systems ⋮ Togliatti systems associated to the dihedral group and the weak Lefschetz property ⋮ The weak Lefschetz property of equigenerated monomial ideals ⋮ Circulant matrices and Galois-Togliatti systems ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ On the coefficients of the permanent and the determinant of a circulant matrix: Applications ⋮ Osculating behavior of the Kummer surface in \(\mathbb{P}^5\) ⋮ Lefschetz property and powers of linear forms in \(\mathbb{K}[x,y,z\)] ⋮ 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
• OEIS

Cites Work

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• On Circulant Matrices
• Logarithmic bundles and line arrangements, an approach via the standard construction
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Line arrangements and configurations of points with an unexpected geometric property
• Chapters on algebraic surfaces
• Laplace Equations and the Weak Lefschetz Property

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