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/