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Aug 11, 2011 at 20:08 vote accept Hugo Chapdelaine
Aug 10, 2011 at 20:35 answer added Donu Arapura timeline score: 7
Aug 10, 2011 at 19:28 comment added David E Speyer Exactly. I decided to write it out below. Without a normal crossing compactification, I really don't know how you would do this, even for $Y$ affine. So I wil be curious to see what answers people come up with.
Aug 10, 2011 at 19:27 answer added David E Speyer timeline score: 12
Aug 10, 2011 at 19:09 comment added Hugo Chapdelaine Well, if you use Hironaka's desingularization theorem then I guess that you can express (using the Leray spectral sequence) the cohomology of $Y$ in terms of the cohomology of a compactification of $Y$ and of the normal crossing divisors. Is it what you have in mind ?
Aug 10, 2011 at 19:05 comment added David E Speyer Am I allowed to use resolution of singularities?
Aug 10, 2011 at 18:43 history asked Hugo Chapdelaine CC BY-SA 3.0