2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223088This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the state of art and provide some new results on this subject.17 pagesAlgebraic Geometry14E07; 14E05; 14H50; 14J26; 14J27On Birational Transformations of Pairs in the Complex Planetext