Re: Isomorphism

Hello,

jones.tessa@xxxxxxxxx wrote:

Let V = Z(xz - y^2, yz - x^3, z^2 - (x^2)y) in A^3 where A^3 is affine
3-space over k and Z(S) is the set points where all functions in S are
simultaneously zero.

Let map p:A^1->V be defined by p(t)=(t^3, t^4, t^5) be a surjective
morphism.

Prove that p is not isomorphism.

The inverse function is of the form q(x,y,z) = y/x (or z/y) and the function y/x is not regular at the origin.

--
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