%0 Journal Article %A Arrondo Esteban, Enrique %A Bertolini, Marina %A Turrini, Cristina %T On the ampleness ofthe normal bundle of line congruences %D 2011 %@ 0933-7741 %U https://hdl.handle.net/20.500.14352/42078 %X In 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). %~