Points fattening on and symbolic powers of bi-homogeneous ideals.

Abstract: We study symbolic powers of bi-homogeneous ideals of points in and extend to this setting results on the effect of points fattening obtained in [2] and [4]. We prove a Chudnovsky-type theorem for bi-homogeneous ideals and apply it to classification of configurations of points with minimal or no fattening effect. [Copyright &y& Elsevier]