Explicit polynomial bounds on prime ideals in polynomial rings over fields

William Simmons, Henry Towsner

Suppose $I$ is an ideal of a polynomial ring over a field, $I\subseteq k[x_1,\dots ,x_n]$, and whenever $fg\in I$ with degree $\le b$, then either $f\in I$ or $g\in I$. When $b$ i…