Consider a polynomial in two variables given by the expression
where is a polynomial with rational coefficients. The zero set defines an algebraic curve in . These curves are often quite complicated consisting of interleaved sheets twisting around singular points of and although we cannot graph directly the curve in , we can obtain a very precise plot of the real or imaginary component of the curve. For example, consider the expression
-- to be continued --
Consider a polynomial in two variables given by the expression
where is a polynomial with rational coefficients. The zero set defines an algebraic curve in . These curves are often quite complicated consisting of interleaved sheets twisting around singular points of and although we cannot graph directly the curve in , we can obtain a very precise plot of the real or imaginary component of the curve. For example, consider the expression
-- to be continued --