2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230552For every odd prime number p, we give examples of non-constant smooth families of genus 2 curves over fields of characteristic p which have pro-Galois (pro-étale) covers of infinite degree with geometrically connected fibers. The Jacobians of the curves are isomorphic to products of elliptic curves.28 pages; as publishedAlgebraic Geometry14H30Non-constant curves of genus 2 with infinite pro-Galois coverstext