# hilbertNumerator -- calculate Hilbert numerator from Hilbert function

## Synopsis

• Usage:
p=hilbertNumerator(L,r,t)
• Inputs:
• L, a list, values of the hilbert function
• r, an integer, dimension of ambient projective space
• t, , variable in which the hilbertNumerator is given

## Description

 i1 : T=QQ[t]; i2 : hilbertNumerator({0,0,4,6,3,0,0,0,0},3,t) 8 7 6 5 4 3 2 o2 = 3t - 6t - 2t + 8t + 3t - 10t + 4t o2 : T

## Caveat

The hilbert function has to be given at positions 0 to d+r+1 where d is the regularity of the considered variety

## Ways to use hilbertNumerator :

• "hilbertNumerator(List,ZZ,RingElement)"

## For the programmer

The object hilbertNumerator is .