The Stacks project

Definition 44.6.3. Let $k$ be a field. Let $X$ be a smooth projective geometrically irreducible curve over $k$. The genus of $X$ is $g = \dim _ k H^1(X, \mathcal{O}_ X)$.

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  • 2 comment(s) on Section 44.6: The Picard scheme of a curve

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