Let $\mathbb A^n$ be the n-dimensional affine space over a field K (algebraically closed if that makes it easier), so $\mathbb A^n= \text{Spec }K[x_1,...,x_n]$, and $\mathbb A^{n-1}$ the (n-1)-dimensional analog. The inclusion $K[x_1,...,x_{n-1}]\to K[x_1,...,x_n]$ induces a map $\mathbb A^n \to\mathbb A^{n-1}$. Is this a projective map?