On Weierstrass semigroup at m points on curves of the form f(y) = g(x)

In this work we determine the so-called minimal generating set of the Weierstrass semigroup of certain m points on curves chi with plane model of the form f(y) = g(x) over F-q, where f(T), g(T) is an element of F-q[T]. Our results were obtained using the concept of discrepancy, for given points P and Q on chi. This concept was introduced by Duursma and Park, in [5], and allows us to make a different and more general approach than that used to certain specific curves studied earlier. (C) 2017 Elsevier B.V. All rights reserved.