Togliatti systems associated to the dihedral group and the weak Lefschetz property

DOI10.1007/s11856-021-2257-3OpenAlexW3121511167MaRDI QIDQ2143229

Liena Colarte-Gómez, Emilia Mezzetti, Martí Salat-Moltó, Rosa Maria Miró-Roig

Publication date: 31 May 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09687

Mathematics Subject Classification ID

Special varieties (14Mxx) Projective and enumerative algebraic geometry (14Nxx) Chain conditions, finiteness conditions in commutative ring theory (13Exx)

Related Items (1)

Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• 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
• Some generalizations of Castelnuovo's lemma on zero-dimensional schemes
• Gaps in the number of generators of monomial Togliatti systems
• Togliatti systems and Galois coverings
• On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems
• The weak Lefschetz property of equigenerated monomial ideals
• Minimal set of binomial generators for certain Veronese 3-fold projections
• Über Veronesesche Varietäten und deren Projektionen
• Alcune osservazioni sulle superficie razionali che rappresentano equazioni di Laplace
• Invariants of finite groups and their applications to combinatorics
• On the classification of Togliatti systems
• On the coefficients of the permanent and the determinant of a circulant matrix: Applications
• Laplace Equations and the Weak Lefschetz Property
• Unexpected curves and Togliatti‐type surfaces
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Finite Unitary Reflection Groups
• Algorithms in invariant theory

This page was built for publication: Togliatti systems associated to the dihedral group and the weak Lefschetz property