The reductivity of spherical curves Part II: 4-gons

2016/03/25 by Yui Onoda, Onoda, Yui, Ayaka Shimizu +1
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1603.07811

openalex publication_date 2016/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The reductivity of a spherical curve represents how reduced the spherical curve is. It is unknown if there exists a spherical curve whose reductivity is four. In this paper we give an unavoidable set for spherical curves with reductivity four by considering 4-gons.

Related

• A note on unavoidable sets for a spherical curve of reductivity four
• The reductivity of spherical curves
• New four-vertex type theorems for spherical polygons
• The spherical systems of the wonderful reductive subgroups
• Curves with constant curvature ratios