Newton polygons and curve gonalities |
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Authors: | Wouter Castryck Filip Cools |
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Institution: | 1. Departement Wiskunde, Afdeling Algebra, Katholieke Universiteit Leuven, Celestijnenlaan 200, 3001, Leuven (Heverlee), Belgium
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Abstract: | We give a combinatorial upper bound for the gonality of a curve that is defined by a bivariate Laurent polynomial with given
Newton polygon. We conjecture that this bound is generically attained, and provide proofs in a considerable number of special
cases. One proof technique uses recent work of M. Baker on linear systems on graphs, by means of which we reduce our conjecture
to a purely combinatorial statement. |
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Keywords: | |
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