RECOVERING PLANE CURVES OF LOW DEGREE FROM THEIR INFLECTION LINES AND INFLECTION POINTS

被引：3

作者：

Pacini, Marco ^{[1
]}

Testa, Damiano ^{[2
]}

机构：

[1] Univ Fed Fluminense, Niteroi, RJ, Brazil

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 195卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

WEIERSTRASS POINTS;

D O I：

10.1007/s11856-012-0129-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the following problem: is it possible to recover a smooth plane curve of degree d >= 3 from its inflection lines? We answer the posed question positively for a general smooth plane quartic curve, making the additional assumption that also one inflection point is given, and for any smooth plane cubic curve.

引用

页码：283 / 316

页数：34

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