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I would like to prove (or find a counterexample to) the following statement: Let $X$ be a complex analytic scheme and let $\pi: Y \to X$ be its universal cover. Let $F$ be a coherent sheaf on $X$ and suppose that $L\otimes F\cong F $ for all $L\in \operatorname{Pic}^0(X)$. Then there exists a sh...
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Jun7
Jun '189
Jun10
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