Hilbert series and Hilbert polynomial (source code)

= Hilbert series and Hilbert polynomial
{wiki=Hilbert_series_and_Hilbert_polynomial}

The concepts of **Hilbert series** and **Hilbert polynomial** arise primarily in algebraic geometry and commutative algebra, particularly in the study of graded algebras and projective varieties. \#\#\# Hilbert Series The **Hilbert series** of a graded algebra (or a graded module) is a generating function that encodes the dimensions of its graded components.