ORDINARY SPECIAL WEIERSTRASS n-SEMIGROUPS

Abstract

We study ordinary Weierstrass n-semigroups on genus g curves, which are defined as the n-semigroups such that (a 1 , . . . , a n ) is a gap if 0 < a 1 + · · · + a n < g, and a non-gap if a 1 + · · · + a n ≥ g + 2. Most of the results are for curves with general moduli.