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The Stacks project

Exercise 111.60.3. Let k be an algebraically closed field. Consider the closed subset X of k^5 with Zariski topology and coordinates x_1, x_2, x_3, x_4, x_5 given by the equations

x_1^2 - x_4 = 0,\quad x_2^5 - x_5 = 0,\quad x_3^2 + x_3 + x_4 + x_5 = 0

What is the dimension of X and why?


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