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math.DS2021
A fixed point curve theorem for finite orbits local diffeomorphisms
Lucivanio Lisboa, Javier Ribón
We study local biholomorphisms with finite orbits in some neighborhood of the origin since they are intimately related to holomorphic foliations with closed leaves. We describe the…
math.DS2021
Fixed points of nilpotent actions on surfaces of negative Euler characteristic
Javier Ribón
We prove that a locally nilpotent group of diffeomorphisms of a compact surface of non-vanishing Euler characteristic has a finite orbit whose cardin…