Show that the one-point set is a projective variety

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Assignment - Solving the five question in the very details, thanks a lot.

Question - Let a ∈ Pn be a point. Show that the one-point set {a} is a projective variety, and compute explicit generators for the ideal Ip({a})1352_figure.png K[x0, . . . , xn]

Book - Algebraic Geometry: Andreas Gathmann - Question 6.13. Page 50.

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The small question is based on Algebraic Geometry and we have computed the one-point set is a projective variety, and explicit generators for the ideal.

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