Timeline for Descent of a representation on the fundamental group of a birational model
Current License: CC BY-SA 4.0
4 events
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| Mar 4, 2023 at 10:54 | comment | added | Moishe Kohan | Right, except van Kampen's theorem gives a somewhat different answer (one needs to add more relators to the amalgams because $\pi_1(\partial B_i)$ does not necessarily embed in the factors). But this does not change the end result. | |
| Mar 4, 2023 at 6:51 | comment | added | Donu Arapura | In general, $B_i$ should be a tubular nbhd of a component of the singular set. (I noticed you asked about that previously.) The argument is bit more involved, but should follow the same strategy. | |
| Mar 4, 2023 at 6:32 | comment | added | Higgs-Boson | many thank for the answer! I have a question: if the singularties are isolated, then $\tilde{B}_i$ is homotopy equivarlent to $F_i$. But what is the case for general singularities? | |
| Mar 4, 2023 at 3:54 | history | answered | Donu Arapura | CC BY-SA 4.0 |