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Projectivization of cokernel of 2-term-Koszul-like morphism depends only on certain simple d...

Let $X$ be a scheme and $D \subset X$ an effective Cartier divisor on $X$. For any line bundle ${\mathcal L} \in \mathrm{Pic}(X)$ and any global section $s \in \Gamma(X,{\mathcal L})$, define $$ Y({\m …
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