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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1370–1383 (Mi smj2056)  
This article is cited in 11 scientific papers (total in 11 papers)

Diagonals of the Laurent series of rational functions

D. Yu. Pochekutov

Institute of Mathematics, Siberian Federal University, Krasnoyarsk
Full-text PDF (563 kB) Citations (11)
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Abstract: We consider the problem of the algebraicity of diagonal series for the Laurent expansions of rational functions, geometrically identifiable using the amoeba of the denominator or an integer point in its Newton polyhedron. We give sufficient conditions for the algebraicity of diagonals basing on the theory of multidimensional residues and topological properties of the complements to collections of complex hypersurfaces in complex analytic varieties.
Keywords: diagonal, Laurent series, hyperplane amoeba, separating cycle, local residue, integral representation, algebraic function.
Received: 05.10.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 1081–1091
DOI: https://doi.org/10.1007/s11202-009-0119-z
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: D. Yu. Pochekutov, “Diagonals of the Laurent series of rational functions”, Sibirsk. Mat. Zh., 50:6 (2009), 1370–1383; Siberian Math. J., 50:6 (2009), 1081–1091
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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