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On the Form of a Plane Quintic Curve with Five Cusps

โœ Scribed by Peter Field


Book ID
123784529
Publisher
American Mathematical Society
Year
1906
Tongue
English
Weight
379 KB
Volume
7
Category
Article
ISSN
0002-9947

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On the number of the cusps of cuspidal p
โœ Keita Tono ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 125 KB

## Abstract In this paper, we estimate an upper bound of the number of the cusps of a cuspidal plane curve. We prove that a cuspidal plane curve of genus __g__ has no more than (21__g__ +17)/2 cusps. For example, a rational cuspidal plane curve has no more than 8 cusps and an elliptic one has no mo