Timeline for resolution of singularities on surfaces
Current License: CC BY-SA 2.5
6 events
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Dec 22, 2009 at 15:21 | vote | accept | CommunityBot | ||
Dec 21, 2009 at 13:22 | comment | added | quim | You and Valery are right, of course! I was just over-responding to your "not having anything to do with" part. Cheers. | |
Dec 21, 2009 at 13:01 | comment | added | Tony Pantev | Yes, of course! Thanks for the comment! I edited my answer to fix this. As for the resolution theorem, I just meant what Valery explicitly said in his answer - Hironaka's theorem is too powerful a tool to use for such a simple question. | |
Dec 21, 2009 at 12:58 | history | edited | Tony Pantev | CC BY-SA 2.5 |
added 48 characters in body
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Dec 21, 2009 at 10:10 | comment | added | quim | I vote your anwer, but there is a point to be corrected, I think. The image being non-degenerate does not guarantee that the base locus is finite (think of f:P²->P² given by (x²,xy,xz)). But he fixed part can be subtracted, just as you do after the blowup, and this is just extending the map to "removable" indeterminacy points. Ah, and in my opinion the blowup resolution is indeed related to Hironaka's, it is just an easy particular case of a usually much more complicated process. | |
Dec 20, 2009 at 16:11 | history | answered | Tony Pantev | CC BY-SA 2.5 |