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Sep 4, 2011 at 17:53 vote accept anonymous
Sep 4, 2011 at 10:31 comment added J.C. Ottem Some more details: if you blow up the plane at 9 in general position, then acting by Cremona transformations gives a sequence of rational curves of arbitrarily high degree through the 9 points that pull back to divisors of self intersection -1. See Artie Prendergast's note iag.uni-hannover.de/~prendergast/Papers/coneofcurves.pdf for more details.
Sep 4, 2011 at 4:14 history answered John CC BY-SA 3.0