Talk:Blowing up

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Mathematics rating:	Start Class	Mid Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 22:39, 15 June 2007 (UTC)

I just did a "major reorganization and expansion", so I apologize for stepping on toes. I'm being bold.

I'm most comfortable with blow-ups in the smooth complex category, so somebody with broader knowledge could probably connect the scheme-theoretic part better to the rest of the article. In particular, I'm not sure what conditions on X and V are needed for deformation to the normal cone.

I claim that the exceptional divisor is "exceptional" because it's isolated; but perhaps it's exceptional because it's not in the domain of the birational map? I don't really know.

I think I've heard that any birational map factors as a sequence of blow-ups and blow-downs. That's worth mentioning (perhaps in Birational geometry, where "birational map" should really be defined).

I started all of this because someone requested an article on "Exceptional divisor". However, it is only referenced in the Cubic surface article, so I think I'll connect that link to here instead. Joshuardavis

Just wondering, Blowing up can also refer to the act of exploding something - does anyone else agree that this is a disambiguation or at least worthy of a link? --Pcmattman (talk) 10:14, 15 May 2008 (UTC)

You're right; there should be a disambiguation link to Explosion, say. But I think that there should not be a whole disambiguation page. Joshua R. Davis (talk) 12:42, 15 May 2008 (UTC)

I added an otheruses template to the start of the page to clarify this disambiguation. --Pcmattman (talk) 04:00, 18 May 2008 (UTC)