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VOL. 66 | 2015 On $(4,3)$ line degenerated torus curves and torus decompositions

Abstract

Let $C = \{f = 0\}$ be an affine plane curve. In this paper, we study $(4,3)$ line degenerations of torus curves. Line degenerations of torus curves are divided into two types which are called visible or invisible degenerations. We will show that there does not exist a $(4,3)$ line degenerated torus curve which has two types decompositions.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.14084
MathSciNet: MR3382047

Digital Object Identifier: 10.2969/aspm/06610123

Subjects:
Primary: 14H20, 14H30, 14H45

Rights: Copyright © 2015 Mathematical Society of Japan

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