Time: 9h, Wednesday, February 19, 2020

Location: Room 611-612,  Building A6, Institute of Mathematics

Abstract: One could define a complete intersection in some irreducible scheme X as a subscheme defined by as many equations as its codimension. Whenever X is a projective space, this corresponds to subschemes defined by homogeneous complete intersection ideals; as a consequence many homological invariants are entirely determined by the degrees of these equations. In a product of projective spaces, the situation is quite different. We will illustrate this on two examples: a hypersurface and the study of complete intersection sets of points in a product of two projective spaces. This is based on ongoing joint work with Navid Nemati.