On Hilbert Functions and H-Vectors of Graded Modules

In this research we study the Hilbert functions and h-vectors of graded modules with support on finite sets of points in projective space. To attain this we construct the graded modules from the sets of points in projective space. We use a computer software package for algebraic computations Macaulay 2 to study the behavior of the Hilbert functions h-vectors and Betti diagrams of the constructed graded modules. This book is divided into 6 chapters the main results have been discussed in chapters 3 4 and 5.