Geodesic
On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, geometry, and number theory, Tome 292 (2016), pp. 177-190

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We extend to global function fields some Hasse principles for homogeneous spaces of connected linear algebraic groups proved earlier by several authors in the case of number fields. We also give some applications. 
@article{TM_2016_292_a10,
     author = {Ng\^o Thị Ngoan and Nguyẽn Qu\H{o}c Th\r{a}ng},
     title = {On some {Hasse} principles for homogeneous spaces of algebraic groups over global fields of positive characteristic},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {177--190},
     publisher = {mathdoc},
     volume = {292},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_292_a10/}
}
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Ngô Thị Ngoan; Nguyẽn Quőc Thång. On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, geometry, and number theory, Tome 292 (2016), pp. 177-190. http://geodesic.mathdoc.fr/item/TM_2016_292_a10/