It is proved that there are only finitely many families of codimension two subvarieties not of general type in Q6.
@article{urn:eudml:doc:41302, title = {Boundedness for codimension two submanifolds of quadrics.}, journal = {Collectanea Mathematica}, volume = {49}, year = {1998}, pages = {293-315}, zbl = {0928.14026}, mrnumber = {MR1677140}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41302} }
Fania, Maria Lucia; Ottaviani, Giorgio. Boundedness for codimension two submanifolds of quadrics.. Collectanea Mathematica, Tome 49 (1998) pp. 293-315. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41302/