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Francesco Polizzi
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Let $X$ be a projective nodal curve. Why is the dualisingdualizing sheaf of $X$ isomorphic to the log-cotangent bundle of $X$?

Let $X$ be a projective nodal curve. Why is the dualising sheaf of $X$ isomorphic to the log-cotangent bundle of $X$?

Let $X$ be a projective nodal curve. Why is the dualizing sheaf of $X$ isomorphic to the log-cotangent bundle of $X$?

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Dualising sheaf of a nodal curve

Let $X$ be a projective nodal curve. Why is the dualising sheaf of $X$ isomorphic to the log-cotangent bundle of $X$?