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Pencils on double coverings of curves
Authors:Luis Fuentes García
Affiliation:1. E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universidad de A Coru?a, 15192, A Coru?a, Spain
Abstract:Let X be a smooth curve of genus g. When $$pi geq 3g$$ and d ≥ π−2g+1 we show the existence of a double covering $$gamma : C rightarrow X$$ where C a smooth curve of genus π with a base-point-free pencil of degree d which is not the pull-back of a pencil on X. Received: 7 February 2007; Revised: 1 July 2008
Keywords:  KeywordHeading"  >. Double coverings  base-point-free pencil
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