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On the number of the cusps of cuspidal plane curves

✍ Scribed by Keita Tono

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 125 KB
Volume: 278
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310236

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✦ Synopsis

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 more than 19 cusps. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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