Arrondo Esteban, EnriqueBertolini, MarinaTurrini, Cristina2023-06-202023-06-2020110933-7741http://dx.doi.org10.1515/FORM.2011.004https://hdl.handle.net/20.500.14352/42078In this paper we study the normal bundle of the embedding of subvarieties of dimension n - 1 in the Grassmann variety of lines in P(n). Making use of some results on the geometry of the focal loci of congruences ([4] and [5]), we give some criteria to decide whether the normal bundle of a congruence is ample or not. Finally we apply these criteria to the line congruences of small degree in P(3).engjournal articlehttp://search.ebscohost.com/login.aspx?direct=true&db=aph&AN=59745397&site=ehost-liveopen access512.7Normal bundleamplenessline congruenceGrassmannian.Álgebra1201 Álgebra