Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897444 | Journal of Pure and Applied Algebra | 2018 | 10 Pages |
Abstract
In this note we extend the main result in [6] on artinian ideals failing Lefschetz properties, varieties satisfying Laplace equations and existence of suitable singular hypersurfaces. Moreover we characterize the minimal generation of ideals generated by powers of linear forms by the configuration of their dual points in the projective plane and we use this result to improve some propositions on line arrangements and Strong Lefschetz Property at range 2 in [6]. The starting point was an example in [3]. Finally we show the equivalence among failing SLP, Laplace equations and some unexpected curves introduced in [3].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roberta Di Gennaro, Giovanna Ilardi,