Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 1 / 25F / a / iv

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- Solution iv

Solution

The irreducible affine hypersurface

y^{2} - z^{3} = 0

in the

(y, z)

-plane has dimension one, while a closed point has dimension zero. Therefore

dim C = 1, dim {P} = dim {Q} = 0 .

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