Journal of Siberian Federal University. Mathematics & Physics: Analytic Continuation of Diagonals of Laurent Series for Rational Functions

Journal of Siberian Federal University. Mathematics & Physics / Analytic Continuation of Diagonals of Laurent Series for Rational Functions

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (3)
Authors: Pochekutov, Dmitry Yu.
Contact information: Pochekutov, Dmitry Yu.: Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-4545-2129
Keywords: diagonals of Laurent series; hyperplane amoeba; logarithmic Gauss mapping; zero pinch; monodromy
Abstract: We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a diagonal is proven
Pages: 360–368
DOI: 10.17516/1997-1397-2021-14-3-360-368
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/140056