 The dimension of is equal to the Krull dimension minus one of , and the degree of is the number of points of intersection, counted with multiplicities, of with the intersection of formula_46 hyperplanes in general position.This implies the existence, in , of a regular sequence formula_47 of homogeneous polynomials of degree one.The definition of a regular sequence implies the existence of exact sequences
for formula_49 This implies that 
where formula_51 is the numerator of the Hilbert series of .