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Dimension of the global sections of the Serre twisting sheaf on a curve
Let, $C$ be a projective curve (not necessarily reduced), $i:C \to \mathbb{P}^n$ be a closed immersion. Does there exist a bound on/geometric interpretation of the dimension of $H^0(i^*(\mathcal{O}_{\mathbb{P}^n}(1))$?
