How many rational points (points with rational coefficients) are on 'C'?

Springer later gave a different construction (1978), using the ordinary cohomology with rational coefficients and complex algebraic groups.

This shows that there exists a unique polynomial with rational coefficients which is equal to for .

In this case it is a product of linear factors with rational coefficients.

All linear factors with rational coefficients can be found using the rational root test.

In general it will have rational coefficients.

For example, algebraic numbers are the roots of polynomials with rational coefficients.

In the usual case of rational coefficients, this algebraically closed field is chosen as the complex field.

Suppose that n 3 and Q is not a multiple of a form with rational coefficients.

This presents a polynomial in t with rational coefficients.