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Aug 17, 2016 at 22:06 comment added Sasha Yes to both questions, because both $E$ and $X \times X$ are flat over $X \setminus B$.
Aug 14, 2016 at 19:24 history edited user43198 CC BY-SA 3.0
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Aug 14, 2016 at 2:37 comment added Allen Knutson Doesn't this reduce to the formal-local case, which since $X$ is smooth over $\mathbb C$, means you only need understand the case of $X$ a vector space?
Aug 13, 2016 at 16:33 history asked user43198 CC BY-SA 3.0