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Feb 12, 2010 at 17:11 comment added Kevin H. Lin Yeah, ok, that's what I was thinking. What's an "affine space" then? Oh -- I guess you just mean A^n? Silly me.
Feb 12, 2010 at 16:46 comment added Emerton Affine varieties are typically not contractible, e.g. a punctured positive genus curve. Affine spaces (as in Dustin's example) are contractible.
Feb 12, 2010 at 16:33 comment added Kevin H. Lin Cool. That seems like it should work, though I should think about it some more to really convince myself. Question: are all affine varieties really contractible? I guess it'd be a similar argument...?
Feb 12, 2010 at 15:04 history answered Dustin Clausen CC BY-SA 2.5