Aldo Conca: Ideals associated to subspace arrangements

Abstract

Let L=L_1,.., L_n be a collection of linear subspaces, a subspace arrangement, in the d-dimensional projective space. Each linear space L_i is the zero locus of a homogeneous linear system, i.e. the variety associated to an ideal I_i generated by liner polynomials. To L we may associate two ideals: the intersection I and the product J of the ideals I_i. They both define the union of the L_i’s as an algebraic variety. In the talk I will report of some recent results about the resolution and regularity of these ideals.
Joint work with Manolis Tsakiris (Chinese Academy of Sciences).