Journal of Siberian Federal University. Mathematics & Physics / Algebraic Subgroups of the Complex Torus

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (6)
Authors
Mishko, Nikolay A.
Contact information
Mishko, Nikolay A.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
algebraic subgroups; monomial parameterization; complex algebraic torus
Abstract

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

Pages
721–731
EDN
DRKHYP
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/154114