Dihedral coverings of trigonal curves

Details Dihedral coverings of trigonal curves Dihedral coverings of trigonal curves

2010-05-06

arxiv.org/abs/1005.1038v1

Mathematics

Algebraic Geometry

Scientific paper

We classify and study trigonal curves in Hirzebruch surfaces admitting
dihedral Galois coverings. As a consequence, we obtain certain restrictions on
the fundamental group of a plane curve~$D$ with a singular point of
multiplicity $(\deg D-3)$.

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