The bifurcation set of a rational function via Newton polytopes

The bifurcation set of a rational function via Newton polytopes

The bifurcation sets of polynomial functions have been studied by many mathematicians from various points of view. In particular, Némethi and Zaharia described them in terms of Newton polytopes. In this paper, we will show analogous results for rational functions.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematische Zeitschrift 2021-06, Vol.298 (1-2), p.899-916
Hauptverfasser: Nguyen, Tat Thang, Saito, Takahiro, Takeuchi, Kiyoshi
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcations
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Polytopes
Rational functions
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Beschreibung
Zusammenfassung:The bifurcation sets of polynomial functions have been studied by many mathematicians from various points of view. In particular, Némethi and Zaharia described them in terms of Newton polytopes. In this paper, we will show analogous results for rational functions.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-021-02698-7