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Mar 8, 2018 at 13:45 comment added Jason Starr The inverse isomorphism is $s^*$, where $s:X\to \mathbb{L}$ is the zero section morphism. Thus, depending on your sign convention (which you have not specified), the pullback $s^*\mathcal{O}(\underline{\text{Image}(s)})$ is either $L$ of the dual of $L$.
Mar 8, 2018 at 13:32 history asked user43198 CC BY-SA 3.0