Geodesic
Cox Rings of Trinomial Hypersurfaces
Matematičeskie zametki, Tome 109 (2021) no. 6, pp. 842-855

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A criterion for the total coordinate space of a trinomial hypersurface to be a hypersurface is found. An algorithm for calculating the Cox ring in explicit form is proposed, and criteria for the total coordinate space to be rational and factorial are obtained.
Keywords: affine variety, Cox ring, polyhedral divisor, rational variety.
Mots-clés : torus action 
@article{MZM_2021_109_6_a4,
     author = {O. K. Kruglov},
     title = {Cox {Rings} of {Trinomial} {Hypersurfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {842--855},
     publisher = {mathdoc},
     volume = {109},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_6_a4/}
}
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O. K. Kruglov. Cox Rings of Trinomial Hypersurfaces. Matematičeskie zametki, Tome 109 (2021) no. 6, pp. 842-855. http://geodesic.mathdoc.fr/item/MZM_2021_109_6_a4/