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

Synopsis

• Function: hilbertSeries

• Usage:

  hilbertSeries V

• Inputs:
  • V, a projective variety
• Optional inputs:
  • Order => ..., default value infinity, display the truncated power series expansion
  • Reduce => ..., default value false, reduce the Hilbert series
• Outputs:
  • a divide expression, 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.