一般直线同余的奇异性

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-08-14 DOI:10.2969/jmsj/88348834

M. Craizer, Ronaldo Garcia

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引用次数: 2

摘要

直线同余是三维空间中的二维直线族。在一般线同余中出现的奇点是褶皱、尖点和燕尾([7])。本文给出了这些奇异点的几何描述。使用的主要工具是定义一般直线同余的等仿射对的存在性。数学学科分类(2010)。53a55, 57r45, 53a20。

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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Singularities of generic line congruences

Line congruences are 2-dimensional families of lines in 3space. The singularities that appear in generic line congruences are folds, cusps and swallowtails ([7]). In this paper we give a geometric description of these singularities. The main tool used is the existence of an equiaffine pair defining a generic line congruence. Mathematics Subject Classification (2010). 53A55, 57R45, 53A20.

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).