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Jun 24, 2014 at 18:03 comment added Donu Arapura OK, I see. I misunderstood your notation. In algeometer-speak, you're saying: suppose $D$ can be contracted to a point, then... And you're getting this from the decomposition theorem.
Jun 24, 2014 at 17:02 history edited David C CC BY-SA 3.0
added 6 characters in body
Jun 24, 2014 at 16:10 comment added Donu Arapura Sorry, but I don't understand the last paragraph. Are there some missing hypotheses?
Jun 24, 2014 at 8:50 comment added jmc Thanks for your answer! This is indeed a criterion, but not exactly the flavour that I was looking for (no offense!).
Jun 24, 2014 at 8:39 history answered David C CC BY-SA 3.0