Geodesic
Rationally isotropic exceptional projective homogeneous varieties are locally isotropic
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 491-500.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Assume that $R$ is a regular local ring that contains an infinite field and whose field of fractions $K$ has charactertistic $\ne 2$. Let $X$ be an exceptional projective homogeneous scheme over $R$. We prove that in most cases the condition $X(K)\neq\emptyset$ implies $X(R)\neq\emptyset$.
Classification : 14M17, 20G35
Keywords: projective homogeneous varieties, rational points, exceptional groups 
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     author = {Panin, I. and Petrov, V.},
     title = {Rationally isotropic exceptional projective homogeneous varieties are locally isotropic},
     journal = {Documenta mathematica},
     pages = {491--500},
     publisher = {mathdoc},
     volume = {Alexander S. Merkurjev's Sixtieth Birthday},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a4/}
}
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Panin, I.; Petrov, V. Rationally isotropic exceptional projective homogeneous varieties are locally isotropic. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 491-500. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a4/