Let 
be an algebraic curve in a projective space of
dimension 
, and let 
be the prime ideal defining
,
and let 
be the number of linearly independent forms of degree 
modulo 
. For large 
, 
is a polynomial known
as the Hilbert polynomial.
Hilbert Polynomial
See also
Hilbert Function, Hilbert SeriesExplore with Wolfram|Alpha
References
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 36, 1980.Referenced on Wolfram|Alpha
Hilbert PolynomialCite this as:
Weisstein, Eric W. "Hilbert Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HilbertPolynomial.html