How can I show that an irreducible quadric $Q$ in $\mathbb{P}^3$ is normal?
If $Q$ is non singular then the local ring associated to every point is a UFD and so a normal ring, but how can I do if the quadric has singular points?
How can I show that an irreducible quadric $Q$ in $\mathbb{P}^3$ is normal?
If $Q$ is non singular then the local ring associated to every point is a UFD and so a normal ring, but how can I do if the quadric has singular points?
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