Sextactic points on a simple closed curve

Sextactic points on a simple closed curve
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简单闭合曲线上的六位点

DOI:
10.1017/s0027763000025435
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发表时间:
2000
影响因子:
0.8
通讯作者:
M. Umehara
M. Umehara
中科院分区:
数学2区
文献类型:
--
作者:
G. Thorbergsson;M. Umehara

文献摘要

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本文给出了真实的射影平面上简单闭曲线上六次点个数的最优下界。在拐点之后,六次曲线点是这类曲线上最简单的射影不变奇点。我们的方法是公理化的,可以应用于其他情况。
Abstract We give optimal lower bounds for the number of sextactic points on a simple closed curve in the real projective plane. Sextactic points are after inflection points the simplest projectively invariant singularities on such curves. Our method is axiomatic and can be applied in other situations.