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Hilbert Polynomial

Let $\Gamma$ be an Algebraic Curve in a projective space of Dimension $n$, and let $p$ be the Prime Ideal defining $\Gamma$, and let $\chi(p,m)$ be the number of linearly independent forms of degree $m$ modulo $p$. For large $m$, $\chi(p,m)$ is a Polynomial known as the Hilbert polynomial.


Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 36, 1980.

© 1996-9 Eric W. Weisstein