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zero set of a polynomial
Posted:
Sep 13, 1991 9:06 PM


Hi everybody,
I am interested in the following problem: given a fourth degree polynomial p(x,y), how can we tell if its zero set (e.g. the set {(x,y):p(x,y)=0} is bounded or not? I got to the conclusion that if the leading form (the form composed of x^4,x^3*y,x^2*y^2,x*y^3,y^4) is everywhere positive, the zero set will be bounded, and some more simple results like that, but I don't know the general rule.
Thanks, Danny Keren (using Dave Cooper's login).



