Hilbert–Poincaré series
= Hilbert–Poincaré series
{wiki=Hilbert–Poincaré_series}
The Hilbert–Poincaré series is a concept in algebraic geometry and commutative algebra that links the geometric properties of a variety (or scheme) with algebraic properties of its coordinate ring. Specifically, it provides information about the dimensions of the graded components of this ring.