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Mathematics  2013 

Rational cuspidal curves with four cusps on Hirzebruch surfaces

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Abstract:

The purpose of this article is to shed light on the question of how many and what kind of cusps a rational cuspidal curve on a Hirzebruch surface can have. We use birational transformations to construct rational cuspidal curves with four cusps on the Hirzebruch surfaces and find associated results for these curves.

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