# hilbertSeries(ProjectiveVariety) -- compute the Hilbert series of a projective variety

## Synopsis

• Function: hilbertSeries
• Usage:
hilbertSeries V
• Inputs:
• Optional inputs:
• Order => ..., default value infinity, display the truncated power series expansion
• Reduce => ..., default value false, reduce the Hilbert series
• Outputs:
• , the Hilbert series

## Description

We compute the Hilbert series of a projective variety, that is, the Hilbert series of the homogeneous coordinate ring of V. The saturation of the ideal may need to be computed.

This method is not implemented yet.