%0 Journal Article
%T On some line congruences in P^4
%A Emma Frigerio
%A Cristina Turrini
%J Le Matematiche
%D 1991
%I University of Catania
%X Consider a line congruence in P4(C) or, equivalently, a smooth threefold V in the Grassmannian G(1,4); We say that the congruence has type (m,n) if V is numerically equivalent to m¦¸(0,4)+n¦¸(1,3). We prove that there are no general, non-degenerate line congruences of type (m,1), for any m, and (m,2) for m¡Ü5. Further, we give an explicit example of a general line congruence in P4(C), which is a generalization of the classical Reye congruence in P3(C), and we show that its type is (15,10).
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/649