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Article
Open AccessAbelian Actions on Pseudo-real Riemann Surfaces
A compact Riemann surface is called pseudo-real if it admits orientation-reversing automorphisms but none of them has order two. In this paper, we find necessary and sufficient conditions for the existence of an ...
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Article
Open Accessp-Groups of automorphisms of compact non-orientable Riemann surfaces
We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus \(g\ge 3\) ...
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Article
Automorphism groups of the real projective plane with holes and their conjugacy classes within its map** class group
For each integer g≥2 we give the complete list of groups acting as a group of dianalytic automorphisms of a real projective plane with g holes, which, in algebraic terms, correspond to birational automorphisms of...
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Article
Automorphism groups of real algebraic curves which are double covers of the real projective plane
For each integer g≥ 3 we give the complete list of groups acting as full automorphism groups of real algebraic curves of genus $g$ which are double covers of the real projective plane. Explicit polynomial equatio...