5 citations · 18 across the 12 of their papers we have counts for
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Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements
Simone Marchesi, Elisa Palezzato, Michele Torielli
In this article, we study the weak and strong Lefschetz of higher dimensional quotients and dimension 1 almost complete intersections. We then apply the obtained results to the stu…
-Lefschetz properties, sectional matrices and hyperplane arrangements
Elisa Palezzato, Michele Torielli
In this article, we study the -Lefschetz properties for non-Artinian algebras, proving that several known results in the Artinian case can be generalized in this setting. Moreov…
Hyperplane arrangements in CoCoA
Elisa Palezzato, Michele Torielli
We introduce the package \textbf{arrangements} for the software CoCoA. This package provides a data structure and the necessary methods for working with hyperplane arrangements. In…
Free hyperplane arrangements over arbitrary fields
Elisa Palezzato, Michele Torielli
In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness ov…
New characterizations of freeness for hyperplane arrangements
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
In this article we describe two new characterizations of freeness for hyperplane arrangements via the study of the generic initial ideal and of the sectional matrix of the Jacobian…