Finite ramification for preimage fields of postcritically finite morphisms

Andrew Bridy, Patrick Ingram, Rafe Jones +5

Given a finite endomorphism $\phi$ of a variety $X$ defined over the field of fractions $K$ of a Dedekind domain, we study the extension $K(φ^{-\infty}(α)) : = \bigcup_{n \geq 1} K(φ^…