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Answer by Nick Switala for Independence of embedding for higher sheaf...
It is false! As mentioned in the edit, a positive answer to this question would imply the Lyubeznik numbers $\lambda_{i,j}$ of a projective scheme are independent of the defining projective embedding...
View ArticleIndependence of embedding for higher sheaf cohomology of local cohomology on...
Suppose $Y$ is a projective variety over a field $k$. Fix an embedding $\iota: Y \hookrightarrow \mathbb{P}^n_k$ for some $n$, and consider the local cohomology sheaves...
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