Automorphisms of Curves and Weierstrass semigroups
Algebraic Geometry
2010-05-18 v1 Number Theory
Abstract
The relation of the Weierstrass semigroup with several invariants of a curve is studied. For Galois covers of curves with group we introduce a new filtration of the group decomposition subgroup of . 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.
Keywords
Cite
@article{arxiv.1005.2871,
title = {Automorphisms of Curves and Weierstrass semigroups},
author = {Sotiris Karanikolopoulos and Aristides Kontogeorgis},
journal= {arXiv preprint arXiv:1005.2871},
year = {2010}
}