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arXiv · 1005.1038

Dihedral coverings of trigonal curves

Alex Degtyarev
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Abstract

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 $(°D-3)$.

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Alex Degtyarev. 2010-05-06. Dihedral coverings of trigonal curves. https://doi.org/10.1512/iumj.2012.61.4607

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