%0 Journal Article
%A Arrondo Esteban, Enrique
%A Cobo Pablos, Sofía
%T On the stability of the universal quotient bundle restricted to congruences of low degree of G(1,3)
%D 2010
%@ 0391-173X
%U https://hdl.handle.net/20.500.14352/42088
%X We study the semistability of Q vertical bar s, the universal quotient bundle on G(1,3) restricted to any smooth surface S (called congruence). Specifically, we deduce geometric conditions for a congruence S, depending on the slope of a saturated linear subsheaf of Q vertical bar s. Moreover, we check that the Dolgachev-Reider Conjecture (i.e. the semistability of Q vertical bar s for nondegenerate congruences S) is true for all the congruences of degree less than or equal to 10. Also, when the degree of a congruence S is less than or equal to 9, we compute the highest slope reached by the linear subsheaves of Q vertical bar s.
%~