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Nov 13, 2017 at 16:12 comment added user108998 OK thanks. I was confused since ofc a v small punctured disc is not the analytification of spec of Laurent power series. I've made sense of it now.
Nov 13, 2017 at 14:33 comment added Donu Arapura I actually had in mind "yes" for your first question. Although the second is also true as well.
Nov 13, 2017 at 14:20 comment added user108998 Am I to understand that the answer is "yes" to my claim that it's equiv to the existence of an étale cover not pulled back from the compactification, i guess Beauville-Laszlo? Your answer then provides a construction of such. (Which in hindsight was kind of clear given Riemann existence!) Thanks a lot :)
Nov 13, 2017 at 14:07 history answered Donu Arapura CC BY-SA 3.0