-8- P«rt of the pathological behavior of thi. curve i. irrelevant. Since a polynomial of degree N can cut a straight line only H times, the incursions into the interiors of the quadrants can be confined to a bounded region. This means that the curve f(a,p) - 0 must "asymptotically occupy" the parts… … It se«s plausible that a generalisation of Besout's theorem could be formulated to deduce from this that the curve must enter the negative halves in a sense that would furnish an immediate and more illuminating proof of our lemma. We have not pursued this conjecture, but believe it indicates a…
