Generalized Weierstrass semigroups and their Poincare series
We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that enables us to deduce properties concerned with the arithmetical structure of divisors supported on the specified points and their corresponding Riemann Roch spaces. This characterization allows us to show that the Poincare series associated with generalized Weierstrass semigroups carry essential information to describe entirely their respective semigroups.
Finite Fields Their Appl.