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This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is small. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$. See this and this questions.

This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is semismall. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$. See this and this questions.

This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is small. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$. See this question.

This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is small. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$. See this and this questions.

This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is small. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$.

This is close to Balazs's answer. $X$ is the nilpotent cone for $SL(2)$. The Springer resolution $T^* \mathbb P^1 \to X$ is small. $T^* \mathbb P^1$ is the total space of the line bundle $O(-2)$ on $\mathbb P^1$. So global functions on $X$ are the same as global functions on the total space of the bundle $O(-2)$ on $\mathbb P^1$ whose structure sheaf is ${\rm Sym}^* O(-2)^\vee$. See this question.