Summary: Problem Set 8
For this entire problem set, k is an algebraically closed eld.
Problem 1. Let n r. The projection map : An
is given by (a1, a2, . . . , an) =
(a1, a2, . . . , ar). Show that is a polynomial map.
Problem 2. Let V = V (x2
- y, x3
- z). Let : A1
V be dened by (t) =
). Show that is an isomorphism by constructing a map : V A1
that and are each identity maps.
Problem 3. Let V = V (y2
). Let : A1
V be dened by (t) = (t2