Abstract
Let C cP r K denote a curve lying on a normal rational surface scroll S. Suppose that degC ¡Ü2r ¡ª 1. Then there is a classification of C into three types. These are distinguished by their arithmetical genus, their Hartshorne-Rao module and their homological behavior. The classification is done by computations of the cohomology of certain divisors on the surface scroll. Finally several illustrating examples are discussed.
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Schenzel, P. (2003). On Curves of Small Degree on a Normal Rational Surface Scroll. In: Herzog, J., Vuletescu, V. (eds) Commutative Algebra, Singularities and Computer Algebra. NATO Science Series, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1092-4_14
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DOI: https://doi.org/10.1007/978-94-007-1092-4_14
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