Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements

Author:

Simone Marchesi, Elisa Palezzato, Michele Torielli

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Commutative Algebra (math.AC), Combinatorics (math.CO)

journal:

date:

2023-10-25 16:00:00

Abstract

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 study of the Jacobian algebra of hyperplane arrangements.

PDF: Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements.pdf