We construct spherical homogeneous spaces X of semisimple simply connected groups with connected stabilizers such that the Hasse principle or weak approximation fail for X.
@article{urn:eudml:doc:40462, title = {Spherical spaces for which the Hasse principle and weak approximation fail.}, journal = {Collectanea Mathematica}, volume = {48}, year = {1997}, pages = {41-52}, zbl = {0876.14034}, mrnumber = {MR1464015}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40462} }
Borovoi, Mikhail; Kunyavskii, Boris. Spherical spaces for which the Hasse principle and weak approximation fail.. Collectanea Mathematica, Tome 48 (1997) pp. 41-52. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40462/