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Feb 13, 2013 at 20:25 answer added roy smith timeline score: 2
Feb 12, 2013 at 17:27 comment added roy smith 2. Perhaps it depends on what you mean by the word "blowup". According to Hartshorne, II.7.17, every birational projective map is a "blowup" in Grothendieck's sense, of some sheaf of ideals. But I agree that what is meant here is simply the canonical incidence construction. The simplest example is the model for the Abel map to the theta divisor of a non hyperelliptic Jacobian near a generic singular point, namely the small "kernel resolution" of the origin of the cone xy-zw = 0 in Mat(2x2) by inserting the projective kernel P^1 of the zero matrix. this is not the usual blow up of the origin.
Feb 12, 2013 at 10:15 vote accept Klim Puhov
Feb 12, 2013 at 0:46 answer added Jack Huizenga timeline score: 3
Feb 11, 2013 at 23:53 history asked Klim Puhov CC BY-SA 3.0