Geodesic
Existence of standard models of conic fibrations over non-algebraically-closed fields
Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1683-1695

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove an analogue of Sarkisov's theorem on the existence of a standard model of a conic fibration over an algebraically closed field of characteristic different from two for three-dimensional conic fibrations over an arbitrary field of characteristic zero with an action of a finite group. Bibliography: 16 titles.
Keywords: conic fibration, Sarkisov link, minimal model programme
Mots-clés : birational model. 
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     title = {Existence of standard models of conic fibrations over non-algebraically-closed fields},
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A. A. Avilov. Existence of standard models of conic fibrations over non-algebraically-closed fields. Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1683-1695. http://geodesic.mathdoc.fr/item/SM_2014_205_12_a0/