Geodesic
Forms of the Segre Cubic
Matematičeskie zametki, Tome 107 (2020) no. 1, pp. 3-10

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The forms of the Segre cubic over non-algebraically closed fields, their automorphisms groups, and equivariant birational rigidity are studied. In particular, it is shown that all forms of the Segre cubic over any field have a point and are cubic hypersurfaces.
Keywords: forms of manifolds, birational rigidity.
Mots-clés : automorphism group 
@article{MZM_2020_107_1_a0,
     author = {A. Avilov},
     title = {Forms of the {Segre} {Cubic}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_1_a0/}
}
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A. Avilov. Forms of the Segre Cubic. Matematičeskie zametki, Tome 107 (2020) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_2020_107_1_a0/