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Packages » Macaulay2Doc :: hilbertSeries

Synopsis

• Optional inputs:
  • Order => ..., default value infinity, display the truncated power series expansion
  • Reduce => ..., default value false, reduce the Hilbert series

Description

The Hilbert series is the formal power series in the variables of the degrees ring whose coefficients are the dimensions of the corresponding graded component.Note that the series is provided as a type of expression called a Divide.

See also

• degreesRing -- the ring or monoid of degrees
• reduceHilbert -- reduce a Hilbert series expression
• poincare -- assemble degrees of a ring, module, or ideal into a polynomial
• poincareN -- assemble degrees into polynomial
• hilbertPolynomial -- compute the Hilbert polynomial
• hilbertFunction -- the Hilbert function