Automorphisms of Curves and Weierstrass semigroups

Details Automorphisms of Curves and Weierstrass semigroups Automorphisms of Curves and Weierstrass semigroups

2010-05-17

arxiv.org/abs/1005.2871v1

Mathematics

Algebraic Geometry

Scientific paper

The relation of the Weierstrass semigroup with several invariants of a curve is studied. For Galois covers of curves with group $G$ we introduce a new filtration of the group decomposition subgroup of $G$. The relation to the ramification filtration is investigated in the case of cyclic covers. We relate our results to invariants defined by Boseck and we study the one point ramification case. We also give applications to Hasse-Witt invariant and symmetric semigroups.

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