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Results tagged with blow-ups
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user 21793
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votes
Accepted
Intersection powers of the exceptional divisor (and the transform of a hyperplane)
Assuming $H$ contains $X$, I think $P^{n-b} \cdot E^b = (-1)^{b-1+\dim X} {b-1 \choose \dim X}$, where $\dim X = n-d$. One can, if one wishes, reduce to the case $a=0$ by letting $Y'$ be the intersect …
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