On the birational gonalities of smooth curves
E. Ballico (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Let be a smooth curve of genus . For each positive integer the birational -gonality of is the minimal integer such that there is with . Fix an integer . In this paper we prove the existence of an integer such that for every integer there is a smooth curve of genus with , i.e. in the sequence of all birational gonalities of at least one of the slope inequalities fails.