Geodesic
Analytic continuation of diagonals of Laurent series for rational functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 3, pp. 360-368

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We describe branch points of complete $\boldsymbol{q}$-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.
Keywords: diagonals of Laurent series, hyperplane amoeba, logarithmic Gauss mapping, zero pinch
Mots-clés : monodromy. 
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     author = {Dmitry Yu. Pochekutov},
     title = {Analytic continuation of diagonals of {Laurent} series for rational functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {360--368},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_3_a8/}
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Dmitry Yu. Pochekutov. Analytic continuation of diagonals of Laurent series for rational functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 3, pp. 360-368. http://geodesic.mathdoc.fr/item/JSFU_2021_14_3_a8/