✦ LIBER ✦

Geometry of plane curves

✍ Scribed by Fabio Scalco Dias; Luis Fernando Mello

Publisher: Elsevier Science
Year: 2011
Tongue: French
Weight: 421 KB
Volume: 135
Category: Article
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2011.03.007

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we obtain, for a class of plane curves, extensions of the well-known relation of inflection points, double points and bitangencies established by Fabricius-Bjerre for closed curves.

📜 SIMILAR VOLUMES

On W3-morphisms and the geometry of plan

On W3-morphisms and the geometry of plane curves

✍ Eduardo Ramos; Jaume Roca 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 304 KB

Fuzzy plane geometry: triangles

✍ Azriel Rosenfeld 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 216 KB

Fuzzy plane projective geometry

✍ K.C. Gupta; Suryansu Ray 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 982 KB

Function Field Theory of Plane Curves by

Function Field Theory of Plane Curves by Dual Curves

✍ Hisao Yoshihara 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 126 KB

We study the structure of function fields of plane curves following our method Ž . developed previously K. Miura and H. Yoshihara, 2000, J. Algebra 226, 283᎐294 . Ž . Let K be the function field of a smooth plane curve C of degree d G 4 and let K be a maximal rational subfield of K for P g ‫ސ‬ 2 .

The weaving of curved geometries

✍ Joost Zegwaard 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 339 KB

Normal Parametrizations of Algebraic Pla

Normal Parametrizations of Algebraic Plane Curves

✍ J. Rafael Sendra 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 363 KB

In this paper we present a theoretical and algorithmic analysis on the normality of rational parametrizations of algebraic plane curves over arbitrary fields of characteristic zero. If the field is algebraically closed we give an algorithm to decide whether a parametrization is proper and, if not, a