Bitangents of non-smooth tropical quartics

IF 0.5 4区数学 Q3 MATHEMATICS Portugaliae Mathematica Pub Date : 2017-10-27 DOI:10.4171/PM/2011

H. Lee, Yoav Len

引用次数: 6

Abstract

We study bitangents of non-smooth tropical plane quartics. Our main result is that with appropriate multiplicities, every such curve has 7 equivalence classes of bitangent lines. Moreover, the multiplicity of bitangent lines varies continuously in families of tropical plane curves.

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非光滑的热带四分之一种

我们研究了非光滑热带平面四次方的二切函数。我们的主要结果是，在适当的多重性下，每条这样的曲线都有7类等价的双切线。此外，双切线的多样性在热带平面曲线族中连续变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Portugaliae Mathematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Since its foundation in 1937, Portugaliae Mathematica has aimed at publishing high-level research articles in all branches of mathematics. With great efforts by its founders, the journal was able to publish articles by some of the best mathematicians of the time. In 2001 a New Series of Portugaliae Mathematica was started, reaffirming the purpose of maintaining a high-level research journal in mathematics with a wide range scope.

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