ABSTRACT

Let R = K[x1, . . . , xn] be a polynomial ring over a field K and let I be an ideal of R generated by a finite set F = {xv1 , . . . , xvq} of monomials. In this chapter we study the integral closure of I, and the normality and invariants of R[It], the Rees algebra of I. The normalization of a Rees algebra is examined using the Danilov-Stanley formula, Carathe´odory’s theorem, and Hilbert bases of Rees cones.