Base-point-free pencils on triple covers of smooth curves

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dc.creatorShin, Dongsoo
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:58Z
dc.date.available2026-07-07T09:43:58Z
dc.descriptionLet $X$ be a smooth algebraic curve. Suppose that there exists a triple covering $f : X \to Y$ where $Y$ is a smooth algebraic curve. In this paper, we investigate the existence of morphisms from $X$ to the projective line $\mathbf{P}^1$ which do not factor through the covering $f$. For this purpose, we generalize the classical results of Maroni concerning base-point-free pencils on trigonal curves to the case of triple covers of arbitrary smooth irrational curves.
dc.description23 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0806.1849
dc.identifierhttp://arxiv.org/abs/0806.1849
dc.identifierInternational Journal of Mathematics 19 (2008), no. 6, 1--27
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162708
dc.subjectAlgebraic Geometry
dc.subject14H30; 14H51
dc.titleBase-point-free pencils on triple covers of smooth curves
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