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Matematicheskie Zametki, 2021, Volume 109, Issue 6, Pages 842–855
DOI: https://doi.org/10.4213/mzm12807 (Mi mzm12807) 		 
Cox Rings of Trinomial Hypersurfaces

O. K. Kruglov

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm12807
Abstract: 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, torus action, Cox ring, polyhedral divisor, rational variety.
Received: 05.06.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 6, Pages 884–895
DOI: https://doi.org/10.1134/S0001434621050229
Bibliographic databases:
Document Type: Article
UDC: 512.718
Language: Russian
Citation: O. K. Kruglov, “Cox Rings of Trinomial Hypersurfaces”, Mat. Zametki, 109:6 (2021), 842–855; Math. Notes, 109:6 (2021), 884–895
Citation in format AMSBIB
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\by O.~K.~Kruglov
\paper Cox Rings of Trinomial Hypersurfaces
\jour Mat. Zametki
\yr 2021
\vol 109
\issue 6
\pages 842--855
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\crossref{https://doi.org/10.4213/mzm12807}
\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 6
\pages 884--895
\crossref{https://doi.org/10.1134/S0001434621050229}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000670513000022}
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