Quadratic differentials of real algebraic curves

被引：0

作者：

Solynin, Alexander ^{[1
]}

Solynin, Andrey ^{[2
]}

机构：

[1] Texas Tech Univ, Dept Math & Stat, Box 41042, Lubbock, TX 79409 USA

[2] St Petersburg State Univ, Kafedra Higher Geometry, St Petersburg, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 01期

关键词：

Real algebraic curve; Quadratic differential; Conic; Ellipse; Hyperbola; Parabola; CLASSIFICATION;

D O I：

10.1016/j.jmaa.2021.125760

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It was shown by J. C. Langer and D. A. Singer in their influential 2007 paper [5] that real algebraic curves can be interpreted as trajectories of meromorphic quadratic differentials defined on appropriate Riemann surfaces. The goal of this note is to suggest a more elementary approach to this problem that is based on the classical complex analysis. To demonstrate how our approach works, we apply it to the simplest non-trivial case of real algebraic curves; i.e. to conics. (c) 2021 Published by Elsevier Inc.

引用

页数：9

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