Realization and nonrealization of Poincaré duality quotients of F<sub>2</sub>[x, y] as topological spaces
Realization and nonrealization of Poincaré duality quotients of F<sub>2</sub>[x, y] as topological spaces
Let ${\bf d}_{2,0} = x^2y + xy^2,$ ${\bf d}_{2, 1} = x^2 + xy + y^2 \in {\mathbb F}_2[x, y]$ be the two Dickson polynomials. If $a$ and $b$ are positive integers, the ideal $( {\bf d}_{2,0}^a, {\bf d}_{2,1}^b) \subset {\mathbb F}_2[x, y]$ is invariant und