Resumen de Complete intersections of quadrics and the Weak Lefschetz Property

Alberto Alzati, Riccardo Re

• We consider graded artinian complete intersection algebras A=\mathbb {C}[x_0,\ldots ,x_m]/I with I generated by homogeneous forms of degree d\ge 2. We show that the general multiplication by a linear form \mu _L:A_{d-1}\rightarrow A_d is injective. We prove that the Weak Lefschetz Property for holds for any c.i. algebra A as above with d=2 and m\le 4, previously known for m\le 3.