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Let $C$, a smooth curve. Let $J$ its Jacobian, consider the Poincar\'e bundle $\mathcal{P}$ on $J\times J$. Let $p: J\times J\rightarrow J$ the projection. How can I compute the complex $R p_{*} \mathcal{P}$ in a point $L\in J$, i.e. what is explicitily

$$ R p_{*} \mathcal{P}_{L} $$

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