2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161164We show, for each algebraically closed field, the rationality of the following two moduli spaces: M(3,3) parametrizing pairs (C, η) where C has genus 3 and ηis a 3-torsion divisor class, respectively of M(3,<3>) parametrizing pairs (C, <η>) as above and where <η> is the cyclic subgroup of order 3 in Pic_0(C) generated by η.14 pages, to appear in a volume on rationality questionsAlgebraic Geometry14E08, 14H10, 14H45.text