Representations of cyclic groups in positive characteristic and Weierstrass semigroups

Details Representations of cyclic groups in positive characteristic and Weierstrass semigroups Representations of cyclic groups in positive characteristic and Weierstrass semigroups

2011-07-25

arxiv.org/abs/1107.4849v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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