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Problem Set 8 For this entire problem set, k is an algebraically closed eld.
 

Summary: Problem Set 8
For this entire problem set, k is an algebraically closed eld.
Problem 1. Let n r. The projection map : An
Ar
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) =
(t, t2
, t3
). Show that is an isomorphism by constructing a map : V A1
such
that and are each identity maps.
Problem 3. Let V = V (y2
- x3
). Let : A1
V be dened by (t) = (t2
, t3

  

Source: Abo, Hirotachi - Department of Mathematics, University of Idaho

 

Collections: Mathematics