Representations of cyclic groups in positive characteristic and Weierstrass semigroups

Sotiris Karanikolopoulos; Aristides Kontogeorgis

paper

Representations of cyclic groups in positive characteristic and Weierstrass semigroups

arXiv:1107.4849

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 $p^{ℓ} n$ . We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points.

15 pages