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Genera g such that every orientation-preserving periodic automorphism of the closed orientable surface of genus g has an invariant circle.
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%I #7 Aug 18 2020 15:46:01

%S 0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,20,21,22,27,28,30,32,35,

%T 39,42,43,44,45,48,49,50,51,60,65,66,72,73,87,90,105

%N Genera g such that every orientation-preserving periodic automorphism of the closed orientable surface of genus g has an invariant circle.

%C There are no other g with g<=10000.

%H H. Geiges & D. Rattaggi, <a href="https://projecteuclid.org/euclid.em/1046889592">Periodic Automorphisms of Surfaces: Invariant Circles and Maximal Orders</a>, Experimental Mathematics, vol. 9 (2000).

%K nonn,nice,more

%O 1,3

%A _Alex Fink_, Jan 31 2007