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Let $X$ be the cubic surface $x_0^3=x_1x_2x_3$ in $\mathbb{P}^3$. How to find a non-zero regular differential 2-form on $X$?

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    ... notion of $2$-form to a singular surface than taking the $2$nd exterior power of Kahler differentials. Perhaps you can explain why you want a non-zero regular $2$-form on your surface. Regards,2012-05-05

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