Aldo Conca, Università di Genova

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 linear 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).