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Complex automorphism groups of real algebraic curves of genus 2. (English) Zbl 0985.14013
A real algebraic curve $$(X, \sigma)$$ is a smooth irreducible projective curve $$X$$ of genus $$g$$ together with an anti-conformal involution $$\sigma$$. The real automorphism group $$\text{Aut}( X, \sigma)$$ of $$X$$ consists of those conformal automorphisms from $$\text{Aut}(X)$$ which commute with $$\sigma$$. The author fully classifies all groups which can be obtained as real automorphism groups of genus 2 surfaces.

##### MSC:
 14H37 Automorphisms of curves 14E07 Birational automorphisms, Cremona group and generalizations
##### Keywords:
automorphism group; genus 2 surface; real algebraic curves
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##### References:
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