Lets complete the C2 to the projected aircraft LP LP C by adding the line at infinity and let us also complete the curve defined 2 of the equation 1. For you spec A let u: OA U OB 1 U be homomorphism in the definition of the morphism of called space. We will see a little later in section 2.3 that this is not 52 6 variants case There are variants that cannot be embedded in any design areas. Let o be the local ring of a nonsingular point in an algebraic curve the generic and closed points spec O. We use lemmas on this equality showing as forms in the variables Z1. Zn with coefficients depending on the Z1. Zn. Let us complete C2 to the projective plane lP lP C by the addition of the line at infinity and let us also complete the curve defined 2 by equation 1 .For U Spec A let U: OA U OB 1 U be the homomorphism in the definition of morphism of ringed space.We will see a little later in Section 2.3 that this is not the 52 6 Varieties case there exist varieties that cannot be embedded in any projective space.Let O be the local ring of a nonsingular point of an algebraic curve the generic and the closed points of Spec O.We apply the lemma to this equality viewing as forms in the variables z1. zn with coefficients depending on z1. zn.