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Sbornik: Mathematics, 2018, Volume 209, Issue 9, Pages 1273–1286
DOI: https://doi.org/10.1070/SM8963 (Mi sm8963) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Tropical limit of log-inflection points for planar curves

G. B. Mikhalkina, A. Renaudineaub

a Section de Mathématiques, Université de Genève, Switzerland
b Institut de Mathématiques de Toulouse, Université Paul Sabatier, France
English version PDF (551 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/SM8963
Abstract: This paper describes the behaviour of log-inflection points (that is, points of inflection with respect to the parallelization of $(\mathbb{C} ^\times)^2$ given by the multiplicative group law) of curves in $(\mathbb{C}^\times)^2$ under passage to the tropical limit. Assuming that the limiting tropical curve is smooth, we show that log-inflection points accumulate by pairs at the midpoints of bounded edges of it.
Bibliography: 11 titles.
Keywords: logarithmic inflection points, tropical limit.
Funding agency Grant number
Swiss National Science Foundation 159240
159581
NCCR SwissMAP
Deutsche Forschungsgemeinschaft MA 4797/6-1
This research was partially supported by the Swiss National Science Foundation (grants 159240, 159581 and project NCCR SwissMAP) and the Deutsche Forschungsgemeinschaft (grant MA 4797/6-1).
Received: 05.05.2017 and 06.12.2017
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 9, Pages 19–34
DOI: https://doi.org/10.4213/sm8963
Bibliographic databases:
Document Type: Article
UDC: 512.772+514.752.2+517.576
MSC: Primary 14T05; Secondary 14H50
Language: English
Original paper language: Russian
Citation: G. B. Mikhalkin, A. Renaudineau, “Tropical limit of log-inflection points for planar curves”, Mat. Sb., 209:9 (2018), 19–34; Sb. Math., 209:9 (2018), 1273–1286
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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