FAT POINTS IN PROJECTIVE SPACE AND THEIR ASYMPTOTIC INVARIANTS

The Waldschmidt constant of homogeneous ideals, which is the subject of this note, have its origins in deep and interesting problems in algebraic geometry. In this note, we are going to study symbolic powers of ideals of some special configuration of points is named k-configuration and also some configurations of points come from nodal points of surfaces in projective spaces. Our motivation comes from the general interest in asymptotic invariants of homogeneous ideals.