Gendron, Quentin; Tahar, Guillaume Dihedral monodromy of cone spherical metrics. (English) Zbl 1529.30041 Ill. J. Math. 67, No. 3, 457-483 (2023). Summary: Among metrics of constant positive curvature on a punctured compact Riemann surface with conical singularities at the punctures, dihedral monodromy means that the action of the monodromy group \(\mathcal{M} \subset \operatorname{SO}(3)\) globally preserves a pair of antipodal points. Using recent results about local invariants of quadratic differentials, we give a complete characterization of the set of conical angles realized by some cone spherical metric with dihedral monodromy. Cited in 1 Document MSC: 30F10 Compact Riemann surfaces and uniformization 30F30 Differentials on Riemann surfaces Keywords:punctured compact Riemann surface; differential; cone spherical metric × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link References: [1] A. Eremenko, Co-axial monodromy, Ann. Sc. Norm. Super. Pisa Cl. Sci. 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