Geodesic
Möbius automorphisms of surfaces with many circles
Canadian journal of mathematics, Tome 74 (2022) no. 1, pp. 42-71

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DOI

We classify real two-dimensional orbits of conformal subgroups such that the orbits contain two circular arcs through a point. Such surfaces must be toric and admit a Möbius automorphism group of dimension at least two. Our theorem generalizes the classical classification of Dupin cyclides.
DOI : 10.4153/S0008414X20000693
Mots-clés : Surface automorphisms, weak del Pezzo surfaces, Möbius geometry, circles, Lie algebras, toric geometry, lattice geometry 
Lubbes, Niels. Möbius automorphisms of surfaces with many circles. Canadian journal of mathematics, Tome 74 (2022) no. 1, pp. 42-71. doi: 10.4153/S0008414X20000693
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     title = {M\"obius automorphisms of surfaces with many circles},
     journal = {Canadian journal of mathematics},
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     year = {2022},
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