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Can the Hirzebruch Surface $F_2:=\mathbb{P}(\mathcal{O}\oplus \mathcal{O}(2))$ be obtained by some GIT quotient of $\mathbb{P}^4$ (or $\mathbb{C}^4$)?
Can the Hirzebruch Surface $F_2:=\mathbb{P}(\mathcal{O}\oplus \mathcal{O}(2))$ be obtained by some GIT quotient of $\mathbb{P}^4$?
