2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99001We study the projective models of complex K3 surfaces polarized by a line bundle L such that all smooth curves in |L| have non-general Clifford index. Such models are in a natural way contained in rational normal scrolls. We use this study to classify and describe all projective models of K3 surfaces of genus at most 10.This is a shorter version of (most of) SLN 1842Algebraic Geometry14J28 (14H51)text