2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72765Let C be an arithmetically Cohen-Macaulay curve of arithmetic genus 4. We prove that the family of such curves of degree 8 in $P^4_k$ is irreducible.9 pagesAlgebraic Geometry14H45; 14H10On irreducibility of the family of ACM curves of degree 8 and genus 4 in $P^4_k$text