Geodesic
Algebraic subgroups of the complex torus
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 721-731

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We study monomial parameterizations of algebraic subgroups of the torus over an arbitrary field and separately over the field of complex numbers. It is proved that every monomial parameterization defines an algebraic group. The necessary and sufficient conditions for the injectivity and existence of such parameterizations are obtained.
Keywords: algebraic subgroups, monomial parameterization, complex algebraic torus. 
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     title = {Algebraic subgroups of the complex torus},
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Nikolay A. Mishko. Algebraic subgroups of the complex torus. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 721-731. http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a3/