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 X with plane model of the form f(y)=g(x) over Fq, where f(T),g(T)∈Fq[T]. Our results were obtained using the concept of discrepancy, for given points P and Q on X. 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.