The regularity index of zero-scheme fat points projective space P3

Abstract

This paper computes the regularity index of a scheme Z = 3P­­­₁ + 2P₂++2P₆  the set of six fat points in projective space P³_. With the method of evaluating the upper and lower bounds, it shows the value of the regularization index to be calculated. This result is presented in Theorem 3.4.