Representation of cyclic groups in positive characteristic and Weierstrass semigroups

Karanikolopoulos, Sotiris and Kontogeorgis, Aristides

Abstract

We study the k[G]-module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group G of order pℓn. We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points