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Cox Rings of Trinomial Hypersurfaces

Authors :
O. K. Kruglov
Source :
Mathematical Notes. 109:884-895
Publication Year :
2021
Publisher :
Pleiades Publishing Ltd, 2021.

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.

Subjects

Subjects :
Factorial
Pure mathematics
Mathematics::Algebraic Geometry
Hypersurface
Mathematics::Commutative Algebra
Mathematics::Complex Variables
General Mathematics
Mathematics::Differential Geometry
Coordinate space
Trinomial
Cox ring
Mathematics

Details

ISSN :
15738876 and 00014346
Volume :
109
Database :
OpenAIRE
Journal :
Mathematical Notes
Accession number :
edsair.doi...........a2122955472ba91dacfc9113fecc5e89

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