Timeline for Simply connected quasi-projective varieties in positive characteristic
Current License: CC BY-SA 2.5
6 events
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Jun 22, 2022 at 8:13 | history | edited | CommunityBot |
replaced http://math.uga.edu/~pete with http://alpha.math.uga.edu/~pete
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Feb 22, 2010 at 14:50 | comment | added | Tyler Lawson | If it is an open subset if $\mathbb{A}^n$, then they are birational and you can use extensions of $\mathbb{A}^n$ that introduce a common nontrivial extension of their function fields. | |
Feb 22, 2010 at 14:36 | comment | added | David E Speyer | Regarding the question of finding a simply connected affine variety (of positive dimension): I'm tempted to say that it is not possible. Embed $X$ into $\mathbb{A}^n$ and take a nontrivial cover of $\mathbb{A}^n$ to get a nontrivial cover of $X$. The gap in this argument, of course, is that the cover of $X$ might not be connected. Any idea how to get around this? | |
Feb 22, 2010 at 12:54 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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Feb 22, 2010 at 12:46 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
added 428 characters in body
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Feb 22, 2010 at 12:17 | history | answered | Pete L. Clark | CC BY-SA 2.5 |