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
收藏
页码：283 / 316
页数：34
相关论文
共 24 条
  • [1] Aluffi P, 2000, MICH MATH J, V48, P1
  • [2] [Anonymous], 1993, Geometric invariant theory
  • [3] Arbarello E., 1985, Fundamental Principles of Mathematical Sciences, V267
  • [4] THE HESSE PENCIL OF PLANE CUBIC CURVES
    Artebani, Michela
    Dolgachev, Igor
    [J]. ENSEIGNEMENT MATHEMATIQUE, 2009, 55 (3-4): : 235 - 273
  • [5] Bogomolov F, 2010, PURE APPL MATH Q, V6, P245
  • [6] Caporaso L, 2003, J REINE ANGEW MATH, V562, P101
  • [7] Recovering plane curves from their bitangents
    Caporaso, L
    Sernesi, E
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2003, 12 (02) : 225 - 244
  • [8] LIMIT LINEAR SERIES - BASIC THEORY
    EISENBUD, D
    HARRIS, J
    [J]. INVENTIONES MATHEMATICAE, 1986, 85 (02) : 337 - 371
  • [9] Eisenbud D., 2000, GRAD TEXT M, V197
  • [10] Limit canonical systems on curves with two components
    Esteves, E
    Medeiros, N
    [J]. INVENTIONES MATHEMATICAE, 2002, 149 (02) : 267 - 338
123