@article{Swter1, 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. }, file = {KaranJNT.pdf}, mrclass = {}, mrnumber = {}, issn = {}, number = {1}, year = {2013}, url = {http://aif.cedram.org/item?id=AIF_2012__62_3_1015_0}, author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides}, pages = {158--175}, volume = {133}, fjournal = {Journal of Number Theory}, doi = {http://dx.doi.org/10.1016/j.jnt.2012.05.039}, journal = {Journal of Number Theory}, title = { Representation of cyclic groups in positive characteristic and Weierstrass semigroups } }