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Cox Rings of Trinomial Hypersurfaces
O. K. Kruglov Lomonosov Moscow State University
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
Citation:
O. K. Kruglov, “Cox Rings of Trinomial Hypersurfaces”, Mat. Zametki, 109:6 (2021), 842–855; Math. Notes, 109:6 (2021), 884–895
Linking options:
https://www.mathnet.ru/eng/mzm12807https://doi.org/10.4213/mzm12807 https://www.mathnet.ru/eng/mzm/v109/i6/p842
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Statistics & downloads: |
Abstract page: | 158 | Full-text PDF : | 18 | References: | 20 | First page: | 8 |
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