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/