Dihedral coverings of trigonal curves
classification
🧮 math.AG
keywords
coveringscurvesdihedraltrigonaladmittingcertainclassifyconsequence
read the original 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 $(\deg D-3)$.
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