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arXiv · 1107.4849

Representations of cyclic groups in positive characteristic and Weierstrass semigroups

Sotiris Karanikolopoulos·Aristides Kontogeorgis
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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 $p^\ell n$. We also study the relation to the Weierstrass semigroup for the case of Galois Weierstrass points.

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Sotiris Karanikolopoulos, Aristides Kontogeorgis. 2011-07-25. Representations of cyclic groups in positive characteristic and Weierstrass semigroups. https://arxiv.org/abs/1107.4849

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