M953 Homework 7 (Click here for solutions)

Due Monday, April 15, 2002

[1] Let X and Y be nonempty subsets of projective space, Pn.
[2] Let X = Vp(x2y - z3) in P2. Show that k(X) is isomorphic to k(A1).

[3] Let X be an algebraic subset of An, which we regard as the subset U0 of Pn, and let Y be a projective algebraic subset of Pn. Take k[Pn] to be k[x0, ..., xn].