On Formal Buchstaber Groups of Special Form
Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 899-910
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A complete description of Buchstaber formal groups $$ F(u,v)=\frac{u^2 A(v)-v^2 A(u)}{uB(v)-vB(u)}\mspace{2mu}, $$ in which the series $A(x)$ and $B(x)$ satisfy the relation $A(x)^\ell=B(x)^m$, is given. A new family of Buchstaber formal groups depending on two algebraically independent parameters is obtained.
Keywords:
formal groups, addition theorems, elliptic functions.
@article{MZM_2019_105_6_a7,
author = {A. V. Ustinov},
title = {On {Formal} {Buchstaber} {Groups} of {Special} {Form}},
journal = {Matemati\v{c}eskie zametki},
pages = {899--910},
publisher = {mathdoc},
volume = {105},
number = {6},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_6_a7/}
}
A. V. Ustinov. On Formal Buchstaber Groups of Special Form. Matematičeskie zametki, Tome 105 (2019) no. 6, pp. 899-910. http://geodesic.mathdoc.fr/item/MZM_2019_105_6_a7/