Open Access
2005 On the geometry of Wiman’s sextic
Naoki Inoue, Fumiharu Kato
J. Math. Kyoto Univ. 45(4): 743-757 (2005). DOI: 10.1215/kjm/1250281655

Abstract

We give a new version of W. L. Edge’s construction of the linear system of plane sextics containing Wiman’s sextic, by means of configuration space of 5 points on projective line. This construction reveals out more of the inner beauty of the hidden geometry of Wiman’s sextic. Furthermore, it allows one to give a friendly proof for the fact that the linear system is actually a pencil, the fact that is important in both Edge’s and our constructions.

Citation

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Naoki Inoue. Fumiharu Kato. "On the geometry of Wiman’s sextic." J. Math. Kyoto Univ. 45 (4) 743 - 757, 2005. https://doi.org/10.1215/kjm/1250281655

Information

Published: 2005
First available in Project Euclid: 14 August 2009

zbMATH: 1097.14041
MathSciNet: MR2226628
Digital Object Identifier: 10.1215/kjm/1250281655

Subjects:
Primary: 14N05
Secondary: 14C20

Rights: Copyright © 2005 Kyoto University

Vol.45 • No. 4 • 2005
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