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Nov 15, 2013 at 15:51 comment added David Zureick-Brown Lev, I don't know the answer to your question, but am incidentally interested in what happens when X is a modular curve and D is a half canonical divisor plus a small number of points. Do you have any thoughts or knowledge about this?
Nov 11, 2013 at 11:51 comment added Lev Borisov I actually have a family of curves (these are modular curves). The point is that the dimension of $H^0(X,D)$ is up to a constant the root of the genus. Also, the map is definitely not surjective, but I would like to bound the defect.
Nov 11, 2013 at 10:14 comment added Dan Petersen what is $n$ here?
Nov 10, 2013 at 22:35 history asked Lev Borisov CC BY-SA 3.0