Timeline for Morphism with connected fibers induce surjection on fundamental groups?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 9, 2020 at 15:38 | comment | added | Andy Putman | @Qixiao: I fixed the typos, sorry about them! You can definitely make this work if the varieties in question are projective, but I don't know an easily quotable result in the noncompact case. | |
| Jun 9, 2020 at 15:35 | history | edited | Andy Putman | CC BY-SA 4.0 |
deleted 91 characters in body
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| Jun 9, 2020 at 1:56 | comment | added | user39380 | As pointed out in the answer, by reduction to 1-skeleton, one do not really need to lift arbitrary paths. Is there a general condition (properness seems too strong for quasi-proj vars) that there exists a CW-decomposition of algebraic varieties, so that all 1-simplices can be lift? (For example, in the normalization of nodal curve, this does not hold, I am not sure to what generality this method can be applied?) | |
| Jun 9, 2020 at 1:43 | comment | added | user39380 | There is some typo where $X$ and $Y$ are flipped? Thanks for the explanation! | |
| Jun 9, 2020 at 1:17 | vote | accept | CommunityBot | ||
| Jun 9, 2020 at 1:45 | |||||
| Jun 8, 2020 at 14:27 | history | answered | Andy Putman | CC BY-SA 4.0 |