Infinitude of the étale fundamental group for non-normal-crossings section divisors
Determine whether the étale fundamental group of \(\mathbb{P}^{1}_{\mathbb{Z}}\setminus D\) is infinite whenever \(D\) is a reduced union of sections that is not a normal-crossings divisor at the prime \(2\).
References
They prove that this group admits a quotient isomorphic to Z/2Z whenever D is not normal crossings at 2, and ask whether it is then infinite Remark~3.8.
— A proper arithmetic surface with infinite étale fundamental group
(2610.05972 - Chenal, 5 Oct 2026) in Section 1, subsection “Some context” (discussion of Shimizu–Yamaguchi; citing Remark 3.8 of their work)