Representations of cyclic groups in positive characteristic and   Weierstrass semigroups
  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 $p^\ell n$. We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points. 
Sotiris Karanikolopoulos, Aristides Kontogeorgis
math.AG math.NT