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June 2018 The Reductivity of Spherical Curves Part II: 4-gons
Yui ONODA, Ayaka SHIMIZU
Tokyo J. Math. 41(1): 51-63 (June 2018). DOI: 10.3836/tjm/1502179266

Abstract

The reductivity of a spherical curve represents how reduced it 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, that is, we give a set of parts of spherical curves such that every spherical curve with reductivity four has at least one of the parts, by considering 4-gons.

Citation

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Yui ONODA. Ayaka SHIMIZU. "The Reductivity of Spherical Curves Part II: 4-gons." Tokyo J. Math. 41 (1) 51 - 63, June 2018. https://doi.org/10.3836/tjm/1502179266

Information

Published: June 2018
First available in Project Euclid: 26 January 2018

zbMATH: 06966858
MathSciNet: MR3830808
Digital Object Identifier: 10.3836/tjm/1502179266

Subjects:
Primary: 57M25

Rights: Copyright © 2018 Publication Committee for the Tokyo Journal of Mathematics

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Vol.41 • No. 1 • June 2018
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