On the Weak Lefschetz Property for certain ideals generated by powers of
linear forms
On the Weak Lefschetz Property for certain ideals generated by powers of
linear forms
Ideals $I\subseteq R=k[\mathbb P^n]$ generated by powers of linear forms arise, via Macaulay duality, from sets of fat points $X\subseteq \mathbb P^n$. Properties of $R/I$ are connected to the geometry of the corresponding fat points. When the linear forms are general, many authors have studied the question of whether or …