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On the norm of singular integral operator on curves with cusps

✍ Scribed by R. Duduchava; N. Krupnik

Publisher
SP Birkhäuser Verlag Basel
Year
1994
Tongue
English
Weight
219 KB
Volume
20
Category
Article
ISSN
0378-620X

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## 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