RT Journal Article
T1 On the stability of the universal quotient bundle restricted to congruences of low degree of G(1,3)
A1 Arrondo Esteban, Enrique
A1 Cobo Pablos, Sofía
AB 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.
PB Scuola Normale Superiore (Pisa)
SN 0391-173X
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42088
UL https://hdl.handle.net/20.500.14352/42088
LA eng
NO Ministerio de Educación (España)
DS Docta Complutense
RD 6 abr 2025