Real algebraic curves of constant width

被引：0
|
作者：
Chatchawan Panraksa
Lawrence C. Washington
机构：
[1] Mahidol University International College,Applied Mathematics Program, Science Division
[2] University of Maryland,Department of Mathematics
来源：
Periodica Mathematica Hungarica | 2017年 / 74卷
关键词：
Constant width; Algebraic curves; Isolated points; Convex curves; 52A10 (primary); 53A04; 14H50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Rabinowitz constructed a parametric curve of constant width and expressed it as a plane algebraic curve; however, the algebraic curve also contains isolated points separate from the original curve. We show how to modify his example in order to produce a curve with no isolated points. We then conjecture a method for producing a family of such curves and prove the conjecture in several cases.
引用
收藏
页码：235 / 244
页数：9
相关论文
共 50 条
  • [21] Real abelian varieties and real algebraic curves
    Ciliberto, C
    Pedrini, C
    LECTURES IN REAL GEOMETRY, 1996, 23 : 167 - 256
  • [22] REMARKS ON CLOSED CONVEX CURVES OF CONSTANT WIDTH
    BARTON, B
    AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (07): : 827 - &
  • [23] Mellish theorem for generalized constant width curves
    Mozgawa, Witold
    AEQUATIONES MATHEMATICAE, 2015, 89 (04) : 1095 - 1105
  • [24] Mellish theorem for generalized constant width curves
    Witold Mozgawa
    Aequationes mathematicae, 2015, 89 : 1095 - 1105
  • [25] GLOBAL THEOREMS ON SPATIAL CURVES OF CONSTANT WIDTH
    WEGNER, B
    MATHEMATISCHE NACHRICHTEN, 1972, 53 (1-6) : 337 - &
  • [26] LATTICE POINTS WITHIN CURVES OF CONSTANT WIDTH
    CHAKERIA.GD
    AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (03): : 330 - &
  • [27] Algorithms for rational real algebraic curves
    Sendra, J. Rafael
    Winkler, Franz
    Fundamenta Informaticae, 1999, 39 (1-2): : 211 - 228
  • [28] Adjunction inequality for real algebraic curves
    Mikhalkin, G
    MATHEMATICAL RESEARCH LETTERS, 1997, 4 (01) : 45 - 52
  • [29] On the Topology of Real Algebraic Plane Curves
    Cheng, Jinsan
    Lazard, Sylvain
    Penaranda, Luis
    Pouget, Marc
    Rouillier, Fabrice
    Tsigaridas, Elias
    MATHEMATICS IN COMPUTER SCIENCE, 2010, 4 (01) : 113 - 137
  • [30] On theta characteristics of real algebraic curves
    Krasnov, VA
    MATHEMATICAL NOTES, 1998, 64 (3-4) : 347 - 350
12345