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- W2964199825 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. Our main result is a list of rational cuspidal curves with four cusps, their type, cuspidal congurations and the surfaces they lie on. We use birational transformations to construct these curves. Moreover, we find a general expression for and compute the Euler characteristic of the logarithmic tangent sheaf in these cases. Additionally, we show that there exists a real rational cuspidal curve with four real cusps. Last, we show that for rational cuspidal curves with two or more cusps on a Hirzebruch surface, there is a lower bound on one of the multiplicities." @default.
- W2964199825 created "2019-07-30" @default.
- W2964199825 creator A5081860950 @default.
- W2964199825 date "2014-10-01" @default.
- W2964199825 modified "2023-10-18" @default.
- W2964199825 title "Rational cuspidal curves with four cusps on Hirzebruch surfaces" @default.
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